From c91153492828cf940e385994b888e149b05fdb04 Mon Sep 17 00:00:00 2001 From: xwyam Date: Wed, 17 Apr 2013 14:34:39 +0800 Subject: [PATCH] . --- base_exp.txt | 1000 ++++++++++++++++++++++++++++++++++++++++++ c++/0.hpp | 12 + c++/1.cpp | 17 + c++/10.cpp | 34 ++ c++/11.cpp | 108 +++++ c++/112.cpp | 41 ++ c++/12.cpp | 41 ++ c++/13.cpp | 123 ++++++ c++/14.cpp | 52 +++ c++/15.cpp | 20 + c++/16.cpp | 19 + c++/17.cpp | 57 +++ c++/19.cpp | 59 +++ c++/2.cpp | 21 + c++/20.cpp | 28 ++ c++/21.cpp | 34 ++ c++/22.cpp | 3 + c++/23.cpp | 26 ++ c++/24.cpp | 36 ++ c++/25.cpp | 52 +++ c++/26.cpp | 56 +++ c++/3.cpp | 29 ++ c++/4.cpp | 34 ++ c++/48.cpp | 35 ++ c++/5.cpp | 23 + c++/6.cpp | 23 + c++/7.cpp | 29 ++ c++/8.cpp | 44 ++ c++/9.cpp | 25 ++ c++/lib/cipher1.txt | 1 + c++/lib/factor.cpp | 33 ++ c++/lib/lint.cpp | 502 ++++++++++++++++++++++ c++/lib/lint.hpp | 69 +++ c++/lib/names.txt | 1 + c++/lib/random.h | 31 ++ c++/lib/try.cpp | 23 + cipher1.txt | 1 + keylog.txt | 50 +++ matrix.txt | 80 ++++ names.txt | 1 + network.txt | 40 ++ poker.txt | 1000 ++++++++++++++++++++++++++++++++++++++++++ python/1.py | 25 ++ python/10.py | 42 ++ python/100.py | 6 + python/101.py | 30 ++ python/102.py | 26 ++ python/104.py | 48 +++ python/107.py | 45 ++ python/108.py | 49 +++ python/109.py | 30 ++ python/11.py | 45 ++ python/110.py | 49 +++ python/111.py | 68 +++ python/112.py | 27 ++ python/113.py | 24 ++ python/119.py | 29 ++ python/12.py | 30 ++ python/13.py | 108 +++++ python/130.py | 32 ++ python/132.py | 32 ++ python/134.py | 41 ++ python/138.py | 25 ++ python/14.py | 49 +++ python/15.py | 9 + python/16.py | 7 + python/162.py | 25 ++ python/17.py | 66 +++ python/18.py | 50 +++ python/19.py | 33 ++ python/2.py | 24 ++ python/20.py | 13 + python/21.py | 19 + python/22.py | 21 + python/23.py | 49 +++ python/24.py | 25 ++ python/25.py | 7 + python/26.py | 39 ++ python/27.py | 33 ++ python/28.py | 8 + python/29.py | 8 + python/3.py | 20 + python/30.py | 15 + python/31.py | 17 + python/32.py | 53 +++ python/33.py | 39 ++ python/34.py | 25 ++ python/35.py | 42 ++ python/36.py | 45 ++ python/37.py | 35 ++ python/38.py | 31 ++ python/384/384.py | 98 +++++ python/384/p.tex | 50 +++ python/39.py | 21 + python/4.py | 4 + python/40.py | 32 ++ python/41.py | 33 ++ python/42.py | 29 ++ python/43.py | 31 ++ python/44.py | 21 + python/45.py | 8 + python/46.py | 31 ++ python/47.py | 37 ++ python/48.py | 6 + python/49.py | 48 +++ python/5.py | 36 ++ python/50.py | 34 ++ python/51.py | 57 +++ python/52.py | 24 ++ python/53.py | 26 ++ python/54.py | 61 +++ python/55.py | 39 ++ python/56.py | 15 + python/57.py | 10 + python/58.py | 28 ++ python/59.py | 18 + python/6.py | 16 + python/60.py | 76 ++++ python/61.py | 74 ++++ python/62.py | 38 ++ python/63.py | 9 + python/64.py | 29 ++ python/65.py | 25 ++ python/66.py | 53 +++ python/67.py | 44 ++ python/69.py | 51 +++ python/7.py | 23 + python/70.py | 54 +++ python/71.py | 15 + python/72.py | 35 ++ python/73.py | 10 + python/74.py | 38 ++ python/75.py | 41 ++ python/76.py | 21 + python/77.py | 40 ++ python/78.py | 19 + python/8.py | 19 + python/80.py | 37 ++ python/81.py | 43 ++ python/82.py | 88 ++++ python/85.py | 24 ++ python/86.py | 31 ++ python/87.py | 36 ++ python/88.py | 16 + python/89.py | 42 ++ python/9.py | 8 + python/91.py | 25 ++ python/92.py | 58 +++ python/93.py | 60 +++ python/94.py | 31 ++ python/96.py | 201 +++++++++ python/97.py | 19 + python/98.py | 115 +++++ python/99.py | 16 + roman.txt | 1000 ++++++++++++++++++++++++++++++++++++++++++ scheme/5.scm | 22 + scheme/55.scm | 40 ++ scheme/80.scm | 37 ++ sudoku.txt | 500 +++++++++++++++++++++ triangle.txt | 100 +++++ triangles.txt | 1001 +++++++++++++++++++++++++++++++++++++++++++ words.txt | 1 + 162 files changed, 10609 insertions(+) create mode 100644 base_exp.txt create mode 100644 c++/0.hpp create mode 100644 c++/1.cpp create mode 100644 c++/10.cpp create mode 100644 c++/11.cpp create mode 100644 c++/112.cpp create mode 100644 c++/12.cpp create mode 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No newline at end of file diff --git a/c++/0.hpp b/c++/0.hpp new file mode 100644 index 0000000..8ecb8dc --- /dev/null +++ b/c++/0.hpp @@ -0,0 +1,12 @@ +#include +#include +#include +#include +#include +using namespace std; + +typedef unsigned long long int uu; // 简化大整数定义 + +#define _eps 0.00001 // 设置最小值表示 + + diff --git a/c++/1.cpp b/c++/1.cpp new file mode 100644 index 0000000..e8346f2 --- /dev/null +++ b/c++/1.cpp @@ -0,0 +1,17 @@ +/** If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23. +Find the sum of all the multiples of 3 or 5 below 1000. */ + +#include "0.hpp" + +const int _a = 3; +const int _b = 5; +const int _max = 1000; + +int main() +{ + int total = 0; + for(int i = 1; i < 1000; i++) // 循环体 + if(i % _a == 0 || i % _b == 0) total += i; // 满足条件的数字加入到 total 中 + cout << total << endl; + return 0; +} diff --git a/c++/10.cpp b/c++/10.cpp new file mode 100644 index 0000000..ed845c4 --- /dev/null +++ b/c++/10.cpp @@ -0,0 +1,34 @@ +/** The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. +Find the sum of all the primes below two million. */ + +#include "0.hpp" +#include + +uu factor(uu a, uu min = 1) +{ + uu temp = min; + uu sqr = (int)(sqrt((double)a) + _eps); + while(temp < sqr) if(a % ++temp == 0) break; + if(a % temp == 0) return temp; + else return 1; +} + +int main() +{ + const uu _max = 2000000; + + uu sum = 0; + timeb start, end; + ftime(&start); + for(uu i = 3; i <= _max; i += 2) { + if(factor(i) == 1) { + //cout << i << "\t"; + sum += i; + } + } + sum += 2; + ftime(&end); + cout << sum << endl; + cout << (end.time - start.time) * 1000 + end.millitm - start.millitm << endl; + return 0; +} diff --git a/c++/11.cpp b/c++/11.cpp new file mode 100644 index 0000000..f64137b --- /dev/null +++ b/c++/11.cpp @@ -0,0 +1,108 @@ +/** In the 20 * 20 grid below, four numbers along a diagonal line have been marked in red. +08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08 +49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00 +81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65 +52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91 +22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80 +24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50 +32 98 81 28 64 23 67 10 (26) 38 40 67 59 54 70 66 18 38 64 70 +67 26 20 68 02 62 12 20 95 (63) 94 39 63 08 40 91 66 49 94 21 +24 55 58 05 66 73 99 26 97 17 (78) 78 96 83 14 88 34 89 63 72 +21 36 23 09 75 00 76 44 20 45 35 (14) 00 61 33 97 34 31 33 95 +78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92 +16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57 +86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58 +19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40 +04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66 +88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69 +04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36 +20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16 +20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54 +01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48 +The product of these numbers is 26 * 63 * 78 * 14 = 1788696. +What is the greatest product of four adjacent numbers in any direction (up, down, left, right, or diagonally) in the 2020 grid? */ + +#include "0.hpp" + +#define _unit 4 +#define _maxh 20 +#define _maxv 20 + +struct node { + int loch; + int locv; + int direc; + int value; +}; + +int vec[4][2] = {{0, 1}, {1, 1}, {1, 0}, {-1, 1}}; + +int matrix[_maxh][_maxv] = { +{8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8}, +{49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0}, +{81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65}, +{52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91}, +{22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80}, +{24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50}, +{32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70}, +{67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21}, +{24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72}, +{21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95}, +{78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92}, +{16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57}, +{86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58}, +{19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40}, +{4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66}, +{88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69}, +{4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36}, +{20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16}, +{20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54}, +{1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48}, +}; + +int calc(node a) +{ + int temp = 1; + for(int i = 0; i < _unit; i++) { + temp *= matrix[a.loch + i * vec[a.direc][0]][a.locv + i * vec[a.direc][1]]; + //cout << a.loch + i * vec[a.direc][0] << endl << a.locv + i * vec[a.direc][1] << endl; + //cout << temp << endl; + } + return temp; +} + + +int main() +{ + node max; + max.loch = 0; + max.locv = 0; + max.direc = 0; + max.value = 0; + node temp; + + for(int j = 0; j <= _maxv - _unit; j++) { + temp.locv = j; + for(int k = 0; k < 3; k++) { + temp.direc = k; + for(int i = 0; i <= _maxh - _unit; i++) { + temp.loch = i; + temp.value = calc(temp); + //cout << i << " " << j << " " << k << " " << temp.value << endl; + if(temp.value > max.value) max = temp; + } + } + temp.direc = 3; + for(int i = _unit - 1; i < _maxh; i++) { + temp.loch = i; + temp.value = calc(temp); + //cout << i << " " << j << " " << 4 << " " << temp.value << endl; + if(temp.value > max.value) max = temp; + } + } + + //max.value = calc(max); + cout << max.value << endl; + + return 0; +} diff --git a/c++/112.cpp b/c++/112.cpp new file mode 100644 index 0000000..5a5f457 --- /dev/null +++ b/c++/112.cpp @@ -0,0 +1,41 @@ +#include +using namespace std; + +int judge1(int a) +{ + int tmp = 10; + while(a != 0) { + if(tmp < a % 10) return 1; + tmp = a % 10; + a /= 10; + } + return 0; +} + +int judge2(int a) +{ + int tmp = 0; + while(a != 0) { + if(tmp > a % 10) return 1; + tmp = a % 10; + a /= 10; + } + return 0; +} + +int main() +{ + int nis = 0; + int nnot = 100; + int n = 100; + while(nis != nnot * 99) { + n += 1; + if(judge1(n) * judge2(n) > 0) nis += 1; + else nnot += 1; + } + cout << n << endl; + return 0; +} + + + diff --git a/c++/12.cpp b/c++/12.cpp new file mode 100644 index 0000000..cd88539 --- /dev/null +++ b/c++/12.cpp @@ -0,0 +1,41 @@ +/** The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be: +1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... +Let us list the factors of the first seven triangle numbers: + 1: 1 + 3: 1,3 + 6: 1,2,3,6 +10: 1,2,5,10 +15: 1,3,5,15 +21: 1,3,7,21 +28: 1,2,4,7,14,28 +We can see that 28 is the first triangle number to have over five divisors. +What is the value of the first triangle number to have over five hundred divisors? */ + +#include "0.hpp" + +int main() +{ + uu n = 1; + uu max; + uu sqr; + timeb start, now; + ftime(&start); + do { + max = n * (n + 1) / 2; + sqr = (uu)(sqrt((double)max)); + int count = 0; + uu temp = 1; + while(temp < sqr) { + if(max % temp == 0) count++; + temp++; + } + ftime(&now); + if(count >= 250) { + cout << n << " " << max << " time: " << (now.time * 1000 + now.millitm - start.time * 1000 - start.millitm) << "ms" << endl; + break; + } + n++; + } while(1); + + return 0; +} diff --git a/c++/13.cpp b/c++/13.cpp new file mode 100644 index 0000000..883e130 --- /dev/null +++ b/c++/13.cpp @@ -0,0 +1,123 @@ +/** Work out the first ten digits of the sum of the following one-hundred 50-digit numbers. */ + +#include "0.hpp" +#include "lib/lint.cpp" + +#define _max 100 + +string str[_max] = { +"37107287533902102798797998220837590246510135740250", +"46376937677490009712648124896970078050417018260538", +"74324986199524741059474233309513058123726617309629", +"91942213363574161572522430563301811072406154908250", +"23067588207539346171171980310421047513778063246676", +"89261670696623633820136378418383684178734361726757", +"28112879812849979408065481931592621691275889832738", +"44274228917432520321923589422876796487670272189318", +"47451445736001306439091167216856844588711603153276", +"70386486105843025439939619828917593665686757934951", +"62176457141856560629502157223196586755079324193331", +"64906352462741904929101432445813822663347944758178", +"92575867718337217661963751590579239728245598838407", +"58203565325359399008402633568948830189458628227828", 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100644 index 0000000..2ef1f9d --- /dev/null +++ b/c++/14.cpp @@ -0,0 +1,52 @@ +/** The following iterative sequence is defined for the set of positive integers: +n -> n/2 (n is even) +n -> 3n + 1 (n is odd) +Using the rule above and starting with 13, we generate the following sequence: +13 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1 +It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. Although it has not been proved yet (Collatz Problem), it is thought that all starting numbers finish at 1. +Which starting number, under one million, produces the longest chain? +NOTE: Once the chain starts the terms are allowed to go above one million. */ + +#include "0.hpp" + +#define _max 1000000 +#define _min 1 + +struct num { + uu value; + int ch; +}; + +int sq(uu a, int flag = 0) +{ + int count = 0; + while(a != 1) { + count++; + //if(flag) cout << a << " -> "; + if(a % 2) a = a * 3 + 1; + else a /= 2; + } + //if(flag) cout << 1 << endl; + return count; +} + +int main() +{ + timeb start, end; + ftime(&start); + num max; + max.ch = 0; + for(uu i = _max; i >= _min; i--) { + if(sq(i) > max.ch) { + max.value = i; + max.ch = sq(i); + } + } + ftime(&end); + cout << max.value << endl; + cout << max.ch << " times calc" << endl; + sq(max.value, 1); + cout << endl << "cost " << (end.time - start.time) * 1000 + end.millitm - start.millitm << " ms" << endl; + + return 0; +} diff --git a/c++/15.cpp b/c++/15.cpp new file mode 100644 index 0000000..77b3f73 --- /dev/null +++ b/c++/15.cpp @@ -0,0 +1,20 @@ +/** Starting in the top left corner of a 2*2 grid, there are 6 routes (without backtracking) to the bottom right corner. +How many routes are there through a 20*20 grid? */ + + +#include "0.hpp" + +#define _max 20 + +int main() +{ + double pro = 1.0; + for(int i = 1; i <= _max; i++) { + pro *= (i + (double)_max); + pro /= i; + } + + cout << (long long int)pro << endl; + + return 0; +} diff --git a/c++/16.cpp b/c++/16.cpp new file mode 100644 index 0000000..16d0fdd --- /dev/null +++ b/c++/16.cpp @@ -0,0 +1,19 @@ +/** What is the sum of the digits of the number 2^1000 ? */ +#include "0.hpp" +#include "lib/lint.cpp" + +uint sum(string a) +{ + uint suma = 0; + for(uint i = 0; i < a.size(); i++) suma += (a[i] - '0'); + return suma; +} + +int main() +{ + lint a("2"); + lint b("1000"); + lint c = a ^ b; + cout << sum(c.getd()) << endl; + return 0; +} diff --git a/c++/17.cpp b/c++/17.cpp new file mode 100644 index 0000000..e680a20 --- /dev/null +++ b/c++/17.cpp @@ -0,0 +1,57 @@ +/** If the numbers 1 to 5 are written out in words: one, two, three, four, five, then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total. +If all the numbers from 1 to 1000 (one thousand) inclusive were written out in words, how many letters would be used? +NOTE: Do not count spaces or hyphens. For example, 342 (three hundred and forty-two) contains 23 letters and 115 (one hundred and fifteen) contains 20 letters. The use of "and" when writing out numbers is in compliance with British usage. */ + +#include "0.hpp" + +int ele[20] = {0, 3, 3, 5, 4, 4, 3, 5, 5, 4, 3, +6, 6, 8, 8, 7, 7, 9, 8, 8}; + +int ten[11] = {0, 3, 6, 6, 5, 5, 5, 7, 6, 6, 7}; + +int dot[4] = {0, 8, 7, 7}; + +string eles[20] = {"", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"}; + +string tens[11] = {"", "ten", "twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "nithty", "hundrad"}; + +string dots[4] = {"", "thousand", "million", "billion"}; + +int analyse(int x) +{ + int a = x / 100; + int b = x % 100; + int out = 0; + if(a) { + if(a / 10) { + out += ele[a / 10] + dot[1]; // thousand + cout << eles[a / 10] + " " + dots[1] + " "; + } + if(a % 10) { + out += ele[a % 10] + ten[10]; // hundrad + cout << eles[a % 10] + " " + tens[10] + " "; + } + if(b) { + out += 3; // and + cout << "and "; + } + } + if(b >= 20) { + out += ele[b % 10] + ten[b / 10]; + cout << tens[b / 10] + " " + eles[b % 10] + " "; + } + else { + out += ele[b]; + cout << eles[b]; + } + cout << endl; + return out; +} + +int main() +{ + int sum = 0; + for(int i = 1; i <= 1000; i++) sum += analyse(i); + cout << sum << endl; + return 0; +} diff --git a/c++/19.cpp b/c++/19.cpp new file mode 100644 index 0000000..8db46c2 --- /dev/null +++ b/c++/19.cpp @@ -0,0 +1,59 @@ +/** 1 Jan 1900 was a Monday. +How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)? */ + +#include "0.hpp" + +#define _ori 1901 +#define _base 1900 +#define _end 2000 +#define _moon 1 +#define _day 0 + +//int month[13] = {1, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; +int month[13] = {0, 3, 0, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3}; +int year[2] = {1, 2}; +string day[7] = {"Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday"}; + +int leap(int a) +{ + if(a % 100 == 0) { + if(a % 400 == 0) return 1; + else return 0; + } + else { + if(a % 4 == 0) return 1; + else return 0; + } +} + +int main() +{ + int count = 0; + int sum = 1; + int yearsum; + for(int i = _ori; i <= _end; i++) { // loop of year + sum += year[leap(i - 1)]; + yearsum = 0; + cout << i << '\t'; + //for(int j = 2; j <= _moon; j++) // loop of month + //yearsum += month[j - 1]; + //if(_moon > 2 && leap(i)) yearsum += month[0]; + for(int j = 0; j < 12; j++) { + yearsum += month[j]; + if(j == 2 && leap(i)) yearsum++; + if((sum + yearsum) % 7 == _day) count++; + cout << (sum + yearsum) % 7 << " "; + } + + cout << '\t' << count; + cout << endl; + //for(int k = 0; k < month[_moon]; k++) // loop of date + //if((sum + k + yearsum) % 7 == _day) count++; + + //cout << i << " " << (sum + yearsum) % 7 << endl; + } + + cout << count << endl; + + return 0; +} diff --git a/c++/2.cpp b/c++/2.cpp new file mode 100644 index 0000000..bc2b099 --- /dev/null +++ b/c++/2.cpp @@ -0,0 +1,21 @@ +/** Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be: +1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... +By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms. */ + +#include "0.hpp" + +int main() +{ + const uu _max = 4000000; + uu fib[3] = {0, 1, 1}; // 设置 fib 数列循环的数组 + uu count = 1; // fib 数列的项计数器 + uu sum = 0; // 满足条件的数的和 + while(fib[count] <= _max) { // fib 数列小于要求值时不断循环 + if(fib[count] % 2 == 0) sum += fib[count]; // 满足条件的项计入总和 + //cout << fib[count] << endl; + count = (count + 1) % 3; // 项计数器 + fib[count] = fib[(count + 1) % 3] + fib[(count + 2) % 3]; // fib 数列递推公式 + } + cout << sum << endl; // 输出结果 + return 0; +} diff --git a/c++/20.cpp b/c++/20.cpp new file mode 100644 index 0000000..38e28cf --- /dev/null +++ b/c++/20.cpp @@ -0,0 +1,28 @@ +/** n! means n * (n - 1) * ... * 3 * 2 * 1 +For example, 10! = 10 * 9 * ... * 3 * 2 * 1 = 3628800, +and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27. +Find the sum of the digits in the number 100! */ + +#include "0.hpp" +#include "lib/lint.cpp" +#define _max 100 + +uint sum(string a) +{ + uint suma = 0; + for(uint i = 0; i < a.size(); i++) suma += (a[i] - '0'); + return suma; +} + +int main() +{ + lint a("1"); + lint b; + for(int i = 1; i <= _max; i++) { + b = itos(i); + a = a * b; + } + + cout << sum(a.getd()) << endl; + +} diff --git a/c++/21.cpp b/c++/21.cpp new file mode 100644 index 0000000..9076d6a --- /dev/null +++ b/c++/21.cpp @@ -0,0 +1,34 @@ +/** Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). +If d(a) = b and d(b) = a, where a b, then a and b are an amicable pair and each of a and b are called amicable numbers. +For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; therefore d(220) = 284. The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220. +Evaluate the sum of all the amicable numbers under 10000. */ + +#include "0.hpp" +#define _max 10000 + +uu ami(uu x) +{ + uu test = 1; + uu sqr = (uu)(sqrt((double)x) + _eps); + if(x == sqr * sqr) test += sqr; + for(uu i = 2; i < sqr; i++) + if(x % i == 0) { + test += i + x / i; + //cout << i << endl << x / i <= i) haha += i; + cout << haha << endl; + return 0; +} diff --git a/c++/24.cpp b/c++/24.cpp new file mode 100644 index 0000000..81bf661 --- /dev/null +++ b/c++/24.cpp @@ -0,0 +1,36 @@ +/** A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are: +012 021 102 120 201 210 +What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9? */ + +#include "0.hpp" + +#define _max 10 +#define _end 1000000 + +string ch = "0123456789"; +uu count[_max] = {}; +uu num[_max] = {1, 1}; + +int main() +{ + uu locale = _end - 1; + string out = ""; + + for(unsigned int i = 2; i < _max; i++) { + num[i] = num[i - 1] * i; + //cout << num[i] << endl; + } + + for(unsigned int i = _max - 1; i >= 1; i--) { + count[i] = locale / num[i]; + locale %= num[i]; + //cout << count[i] << endl; + out += ch[count[i]]; + ch = ch.substr(0, count[i]) + ch.substr(count[i] + 1); + //cout << out << '\t' << ch << endl; + } + + cout << out + ch << endl; + + return 0; +} diff --git a/c++/25.cpp b/c++/25.cpp new file mode 100644 index 0000000..665a882 --- /dev/null +++ b/c++/25.cpp @@ -0,0 +1,52 @@ +/** The Fibonacci sequence is defined by the recurrence relation: +Fn = Fn1 + Fn2, where F1 = 1 and F2 = 1. +Hence the first 12 terms will be: +F1 = 1 +F2 = 1 +F3 = 2 +F4 = 3 +F5 = 5 +F6 = 8 +F7 = 13 +F8 = 21 +F9 = 34 +F10 = 55 +F11 = 89 +F12 = 144 +The 12th term, F12, is the first term to contain three digits. +What is the first term in the Fibonacci sequence to contain 1000 digits? */ + +#include "0.hpp" +#include "lib/lint.cpp" + +void fib_matrix(unsigned int maxnum); + +int main() +{ + unsigned int max; + cin >> max; + + //for(int i = 1; i <= max; i++) cout << fib_recursive(i) << endl; + fib_matrix(max); + + return 0; +} + + +void fib_matrix(unsigned int maxnum) +{ + string first = "1"; + lint fib[2]; + fib[0] = first; + fib[1] = first; + //for(int i = 1; i <= maxnum; i++) { + int i = 1; + while(1) { + //cout << fib[i % 2].getd() << endl; + if(fib[i % 2].getd().size() >= maxnum) break; + if(i >= 2) fib[(i + 1) % 2] = fib[(i + 1) % 2] + fib[i % 2]; + i++; + } + //cout << fib[maxnum % 2].getd() << endl; + cout << i << endl; +} diff --git a/c++/26.cpp b/c++/26.cpp new file mode 100644 index 0000000..d179f37 --- /dev/null +++ b/c++/26.cpp @@ -0,0 +1,56 @@ +/** A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given: +1/2 = 0.5 +1/3 = 0.(3) +1/4 = 0.25 +1/5 = 0.2 +1/6 = 0.1(6) +1/7 = 0.(142857) +1/8 = 0.125 +1/9 = 0.(1) +1/10 = 0.1 +Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be seen that 1/7 has a 6-digit recurring cycle. +Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part. */ + +#include "0.hpp" + +const int _max = 10000; + +int cycle(int num) +{ + int mod[_max] = {0}; + int temp = 10; + int count = 0; + int flag = 1; + do { + if(temp == 0) break; + if(temp < num) temp *= 10; + //cout << temp / num; + temp %= num; + mod[count] = temp; + for(int i = 0; i <= count - 1; i++) + if(temp == mod[i]) { + flag = 0; + count -= i; + count--; + } + count++; + } while(flag); + //cout << '\t' << count << endl; + return count; +} + +int main() +{ + int max[2] = {0, 0}; + for(int i = 2; i <= _max; i++) { + //cout << i << '\t'; + int temp = cycle(i); + if(temp > max[1]) { + max[0] = i; + max[1] = temp; + } + } + + cout << max[0] << '\t' << max[1] << endl; + return 0; +} diff --git a/c++/3.cpp b/c++/3.cpp new file mode 100644 index 0000000..92a9b0e --- /dev/null +++ b/c++/3.cpp @@ -0,0 +1,29 @@ +/** The prime factors of 13195 are 5, 7, 13 and 29. +What is the largest prime factor of the number 600851475143 ? */ + +#include "0.hpp" + +/* 分解因数，如果是素数返回 1 */ +uu factor(uu a, uu min = 2) +{ + uu temp = min; + uu sqr = (int)(sqrt((double)a) + _eps); // 定义尝试上界 + while(temp < sqr) if(a % ++temp == 0) break; // 从最小值到上界开始尝试 + if(a % temp == 0) return temp; // 如果 a 能分解则返回最小因子 + else return 1; // 如果 a 是素数就返回 1，此处也可以设置为返回 x 本身 +} + +int main() +{ + uu num = 600851475143; + uu temp = 2; // 尝试循环分解 num 的因子 + do { + if(num % temp == 0) { // 如果满足 temp 整除 num + if(factor(num / temp) == 1) break; // 同时 num / temp 是素数则返回 + else num /= temp; // 如果 num / temp 不为素数，就缩小 num 以减小运算量 + } + temp++; // temp 增加 + } while(1); + cout << (num / temp) << endl; // 输出结果 + return 0; +} diff --git a/c++/4.cpp b/c++/4.cpp new file mode 100644 index 0000000..89e73f6 --- /dev/null +++ b/c++/4.cpp @@ -0,0 +1,34 @@ +/** A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 * 99. +Find the largest palindrome made from the product of two 3-digit numbers.. */ + +/** 1001 = 7 * 11 * 13 */ + +#define _max 997 + +#include "0.hpp" + +int main() +{ + int pal = 0; + for(int i = _max; i >= 100; i--) { + int temp = i; + pal = 0; + while(temp > 0) { + pal = pal * 10 + temp % 10; + temp /= 10; + } + pal += i * 1000; + + int m = 100; + do { + while(pal % m != 0) m++; + if(m < 1000 && pal / m < 1000) { + cout << pal << " = " << m << " * " << pal / m << endl; + return 0; + } + m++; + } while(m < 1000); + } + + return 0; +} diff --git a/c++/48.cpp b/c++/48.cpp new file mode 100644 index 0000000..d405283 --- /dev/null +++ b/c++/48.cpp @@ -0,0 +1,35 @@ +/** The series, 11 + 22 + 33 + ... + 1010 = 10405071317. +Find the last ten digits of the series, 1^1 + 2^2 + 3^3 + ... + 1000^1000. */ + +#include "0.hpp" +#include "lib/lint.cpp" + +#define _max 1000 +#define _mod 10000000000 +#define _array 10 + +uu pow(uu a, uu b, uu mod = _mod) +{ + int bi[_array] = {0}; + for(int i = 0; i < _array; i++) { + bi[i] = b % 2; + b /= 2; + } + uu out = 1; + for(int i = _array - 1; i >= 0; i--) { + out = (out % mod) * out % mod; + if(bi[i] == 1) out = (out * a) % mod; + } + return out; +} + +int main() +{ + uu sum = 0; + for(uu i = 1; i <= _max; i++) { + sum += pow(i, i); + sum = sum % _mod; + } + cout << sum << endl; + return 0; +} diff --git a/c++/5.cpp b/c++/5.cpp new file mode 100644 index 0000000..d83d1fb --- /dev/null +++ b/c++/5.cpp @@ -0,0 +1,23 @@ +/** 2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. +What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20? */ +#include "0.hpp" + +int main() +{ + const int _max = 20; + + uu num[_max] = {0}; + for(int i = 0; i < _max; i++) num[i] = i + 1; + for(int i = 0; i < _max; i++) + if(num[i] > 1) + for(int j = i + 1; j < _max; j++) + if(num[j] % num[i] == 0) num[j] /= num[i]; + uu divnum = 1; + for(int i = 0; i < _max; i++) { + divnum *= num[i]; + cout << num[i] << " "; + } + cout << endl; + cout << divnum << endl; + return 0; +} diff --git a/c++/6.cpp b/c++/6.cpp new file mode 100644 index 0000000..f304596 --- /dev/null +++ b/c++/6.cpp @@ -0,0 +1,23 @@ +/** The sum of the squares of the first ten natural numbers is, +1^2 + 2^2 + ... + 10^2 = 385 +The square of the sum of the first ten natural numbers is, +(1 + 2 + ... + 10)^2 = 552 = 3025 +Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 385 = 2640. +Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum. */ +#include "0.hpp" + +#define _max 100 + +int main() +{ + uu sum = 0; // 最终的和 + uu num[_max]; + for(int i = 0; i < _max; i++) num[i] = i + 1; + for(int i = 0; i < _max; i++) + for(int j = i + 1; j < _max; j++) + sum += num[i] * num[j]; + + sum *= 2; + cout << sum << endl; + return 0; +} diff --git a/c++/7.cpp b/c++/7.cpp new file mode 100644 index 0000000..f727a5e --- /dev/null +++ b/c++/7.cpp @@ -0,0 +1,29 @@ +/** By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. +What is the 10001st prime number? */ + +#include "0.hpp" + +#define _num 10001 + +uu factor(uu a, uu min = 1) +{ + uu temp = min; + uu sqr = (int)sqrt((double)a); + while(temp < sqr) if(a % ++temp == 0) break; + if(a % temp == 0) return temp; + else return 1; +} + +int main() +{ + uu num = 1; + int count = 0; + do { + if(factor(++num) == 1) { + //cout << num << endl; + ++count; + } + } while(count < _num); + cout << num << endl; + return 0; +} diff --git a/c++/8.cpp b/c++/8.cpp new file mode 100644 index 0000000..1eeb22e --- /dev/null +++ b/c++/8.cpp @@ -0,0 +1,44 @@ +/** Discover the largest product of five consecutive digits in the 1000-digit number. */ + +#include "0.hpp" + +string str = "731671765313306249192251196744265747423553491949349698352031277450632623957831801698480186947885184385861560789112949495459501737958331952853208805511125406987471585238630507156932909632952274430435576689664895044524452316173185640309871112172238311362229893423380308135336276614282806444486645238749303589072962904915604407723907138105158593079608667017242712188399879790879227492190169972088809377665727333001053367881220235421809751254540594752243258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"; + +struct place { + string str; + int value; + int locale; +}; + +int sss(string ch) +{ + int pro = 1; + for(int i = 0; i < _unit; i++) { + pro *= (int)(ch[i] - '0'); + } + return pro; +} + +int main() +{ + const int _unit = 5; + int length = str.size() - _unit; + place max; + max.str = ""; + max.value = 0; + max.locale = 0; + + for(int i = 0; i <= length; i++) { + int valuetemp = sss(str.substr(i, _unit)); + if(valuetemp > max.value) { + max.locale = i; + max.value = valuetemp; + max.str = str.substr(i, _unit); + } + } + cout << "max product is " + max.str << endl; + cout << "the value of product is " << max.value << endl; + cout << "locale is " << max.locale << endl; + + return 0; +} diff --git a/c++/9.cpp b/c++/9.cpp new file mode 100644 index 0000000..590d0df --- /dev/null +++ b/c++/9.cpp @@ -0,0 +1,25 @@ +/** A Pythagorean triplet is a set of three natural numbers, a b c, for which, +a^2 + b^2 = c^2 +For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2. +There exists exactly one Pythagorean triplet for which a + b + c = 1000. +Find the product abc. */ + +#include "0.hpp" + +int main() +{ + const uu _max = 1000; + uu _min = (int)((sqrt(2) - 1) * _max); + + uu root; + uu i; + for(i = _min; i <= _max; i++) { + uu sqr = (i + _max) * (i + _max) - 2 * _max * _max; + root = (int)(sqrt((double)sqr) + _eps); + if(sqr == root * root) break; + } + cout << i << endl << (_max + root - i) / 2 << endl; + cout << abs(_max - i - root) / 2 << endl; + + return 0; +} diff --git a/c++/lib/cipher1.txt b/c++/lib/cipher1.txt new file mode 100644 index 0000000..08cee2d --- /dev/null +++ b/c++/lib/cipher1.txt @@ -0,0 +1 @@ +79,59,12,2,79,35,8,28,20,2,3,68,8,9,68,45,0,12,9,67,68,4,7,5,23,27,1,21,79,85,78,79,85,71,38,10,71,27,12,2,79,6,2,8,13,9,1,13,9,8,68,19,7,1,71,56,11,21,11,68,6,3,22,2,14,0,30,79,1,31,6,23,19,10,0,73,79,44,2,79,19,6,28,68,16,6,16,15,79,35,8,11,72,71,14,10,3,79,12,2,79,19,6,28,68,32,0,0,73,79,86,71,39,1,71,24,5,20,79,13,9,79,16,15,10,68,5,10,3,14,1,10,14,1,3,71,24,13,19,7,68,32,0,0,73,79,87,71,39,1,71,12,22,2,14,16,2,11,68,2,25,1,21,22,16,15,6,10,0,79,16,15,10,22,2,79,13,20,65,68,41,0,16,15,6,10,0,79,1,31,6,23,19,28,68,19,7,5,19,79,12,2,79,0,14,11,10,64,27,68,10,14,15,2,65,68,83,79,40,14,9,1,71,6,16,20,10,8,1,79,19,6,28,68,14,1,68,15,6,9,75,79,5,9,11,68,19,7,13,20,79,8,14,9,1,71,8,13,17,10,23,71,3,13,0,7,16,71,27,11,71,10,18,2,29,29,8,1,1,73,79,81,71,59,12,2,79,8,14,8,12,19,79,23,15,6,10,2,28,68,19,7,22,8,26,3,15,79,16,15,10,68,3,14,22,12,1,1,20,28,72,71,14,10,3,79,16,15,10,68,3,14,22,12,1,1,20,28,68,4,14,10,71,1,1,17,10,22,71,10,28,19,6,10,0,26,13,20,7,68,14,27,74,71,89,68,32,0,0,71,28,1,9,27,68,45,0,12,9,79,16,15,10,68,37,14,20,19,6,23,19,79,83,71,27,11,71,27,1,11,3,68,2,25,1,21,22,11,9,10,68,6,13,11,18,27,68,19,7,1,71,3,13,0,7,16,71,28,11,71,27,12,6,27,68,2,25,1,21,22,11,9,10,68,10,6,3,15,27,68,5,10,8,14,10,18,2,79,6,2,12,5,18,28,1,71,0,2,71,7,13,20,79,16,2,28,16,14,2,11,9,22,74,71,87,68,45,0,12,9,79,12,14,2,23,2,3,2,71,24,5,20,79,10,8,27,68,19,7,1,71,3,13,0,7,16,92,79,12,2,79,19,6,28,68,8,1,8,30,79,5,71,24,13,19,1,1,20,28,68,19,0,68,19,7,1,71,3,13,0,7,16,73,79,93,71,59,12,2,79,11,9,10,68,16,7,11,71,6,23,71,27,12,2,79,16,21,26,1,71,3,13,0,7,16,75,79,19,15,0,68,0,6,18,2,28,68,11,6,3,15,27,68,19,0,68,2,25,1,21,22,11,9,10,72,71,24,5,20,79,3,8,6,10,0,79,16,8,79,7,8,2,1,71,6,10,19,0,68,19,7,1,71,24,11,21,3,0,73,79,85,87,79,38,18,27,68,6,3,16,15,0,17,0,7,68,19,7,1,71,24,11,21,3,0,71,24,5,20,79,9,6,11,1,71,27,12,21,0,17,0,7,68,15,6,9,75,79,16,15,10,68,16,0,22,11,11,68,3,6,0,9,72,16,71,29,1,4,0,3,9,6,30,2,79,12,14,2,68,16,7,1,9,79,12,2,79,7,6,2,1,73,79,85,86,79,33,17,10,10,71,6,10,71,7,13,20,79,11,16,1,68,11,14,10,3,79,5,9,11,68,6,2,11,9,8,68,15,6,23,71,0,19,9,79,20,2,0,20,11,10,72,71,7,1,71,24,5,20,79,10,8,27,68,6,12,7,2,31,16,2,11,74,71,94,86,71,45,17,19,79,16,8,79,5,11,3,68,16,7,11,71,13,1,11,6,1,17,10,0,71,7,13,10,79,5,9,11,68,6,12,7,2,31,16,2,11,68,15,6,9,75,79,12,2,79,3,6,25,1,71,27,12,2,79,22,14,8,12,19,79,16,8,79,6,2,12,11,10,10,68,4,7,13,11,11,22,2,1,68,8,9,68,32,0,0,73,79,85,84,79,48,15,10,29,71,14,22,2,79,22,2,13,11,21,1,69,71,59,12,14,28,68,14,28,68,9,0,16,71,14,68,23,7,29,20,6,7,6,3,68,5,6,22,19,7,68,21,10,23,18,3,16,14,1,3,71,9,22,8,2,68,15,26,9,6,1,68,23,14,23,20,6,11,9,79,11,21,79,20,11,14,10,75,79,16,15,6,23,71,29,1,5,6,22,19,7,68,4,0,9,2,28,68,1,29,11,10,79,35,8,11,74,86,91,68,52,0,68,19,7,1,71,56,11,21,11,68,5,10,7,6,2,1,71,7,17,10,14,10,71,14,10,3,79,8,14,25,1,3,79,12,2,29,1,71,0,10,71,10,5,21,27,12,71,14,9,8,1,3,71,26,23,73,79,44,2,79,19,6,28,68,1,26,8,11,79,11,1,79,17,9,9,5,14,3,13,9,8,68,11,0,18,2,79,5,9,11,68,1,14,13,19,7,2,18,3,10,2,28,23,73,79,37,9,11,68,16,10,68,15,14,18,2,79,23,2,10,10,71,7,13,20,79,3,11,0,22,30,67,68,19,7,1,71,8,8,8,29,29,71,0,2,71,27,12,2,79,11,9,3,29,71,60,11,9,79,11,1,79,16,15,10,68,33,14,16,15,10,22,73 diff --git a/c++/lib/factor.cpp b/c++/lib/factor.cpp new file mode 100644 index 0000000..a3e0739 --- /dev/null +++ b/c++/lib/factor.cpp @@ -0,0 +1,33 @@ +#include +using namespace std; + +typedef unsigned long long int uu; + +void function(uu n) +{ + uu m, k, t; + t = 1; + m = n; + + while (m > 1) { + k = 2; + while (m % k != 0) k++; + if (t) cout << k; + else cout << "*" << k; + m = m / k; + t = 0; + } + cout << endl; +} + +int main() +{ + cout << "use 0 to exit" << endl; + uu num; + do { + cin >> num; + if(num == 0) break; + function(num); + } while(1); + return 0; +} diff --git a/c++/lib/lint.cpp b/c++/lib/lint.cpp new file mode 100644 index 0000000..6078718 --- /dev/null +++ b/c++/lib/lint.cpp @@ -0,0 +1,502 @@ +#include "lint.hpp" + +void get(vector< complex > x) +{ + for(uint i = x.size() - 1; i >= 0; i--) { + if(i > x.size()) break; + cout << x[i] << " "; + } + cout << endl << endl; +} + +void get(vuint x) +{ + for(uint i = x.size() - 1; i >= 0; i--) { + if(i > x.size()) break; + cout << x[i] << " "; + } + cout << endl << endl; +} + + +lint::lint() { } + +lint::lint(string lintin) +{ + operator =(lintin); +} + +lint::~lint() +{ num.clear(); } + +void lint::operator =(string strin) +{ + sign = 1; + strin = del(strin); + if(strin[0] == '-') { + sign = -1; + strin = strin.substr(1, strin.size() - 1); + } + + /* 整理输入，使其全是数字，并且首位无0 */ + for(uint i = 0; i < strin.size(); i++) + if(strin[i] > '9' || strin[i] < '0') strin[i] = '0'; + + length = strin.size(); + len = (length + unit - 1) / unit; + uint mod = length % unit; + if(num.capacity()) num.clear(); + num.resize(len); + + for(uint i = 0; i < len - 1; i++) + num[i] = atoi(strin.substr(length - (i + 1) * unit, unit).c_str()); + num[len - 1] = atoi(strin.substr(0, (mod == 0) ? unit : mod).c_str()); +} + + +/* 提取十进制数值 */ +string lint::getd() +{ return vtos(num); } + +vuint lint::getvec() +{ + return num; +} + +/* 提取 vector 中相应位置的数字 */ +uint lint::operator [](uint locale) +{ + if(locale >= len) return 0; + else return num[locale]; +} + +/* 提取 vector 的长度 */ +uint lint::getlen() +{ return len; } + +/* 提取整数长度 */ +uint lint::getlength() +{ return length; } + +int lint::getsign() +{ return sign; } + + +/* 定义加法 */ +string lint::operator +(lint opnum) +{ + if(sign * opnum.getsign() == -1) { + if(sign == -1) { + lint abs(getd()); + return opnum - abs; + } else { + lint abs(opnum.getd()); + lint absa(getd()); + return absa - abs; + } + } else { + vuint sumint(1); + vuint sumshort(1); + + if(len >= opnum.getlen()) { + sumint.resize(len); + sumint = getvec(); + sumshort = opnum.getvec(); + } else { + sumint.resize(opnum.getlen()); + sumint = opnum.getvec(); + sumshort = getvec(); + } + + sumint.resize(sumint.size() + 1); + sumint[sumint.size()] = 0; + + uint temp; + + for(uint i = 0; i < sumshort.size(); i++) { + temp = sumint[i] + sumshort[i]; + sumint[i] = temp % cunit; + sumint[i + 1] += temp / cunit; + } + for(uint i = sumshort.size(); i < sumint.size() - 1; i++) { + temp = sumint[i]; + sumint[i] = temp % cunit; + sumint[i + 1] += temp / cunit; + } + + if(sign == -1) return "-" + vtos(sumint); + else return vtos(sumint); + } +} + +string lint::operator -(lint opnum) +{ + if(sign * opnum.getsign() == -1) { + if(sign == 1) return operator +(opnum); + else return "-" + operator +(opnum); + } else { + vuint difint(len >= opnum.getlen() ? len : opnum.getlen()); + vuint small(len >= opnum.getlen() ? opnum.getlen() : len); + + if(compare(opnum) >= 0) { + difint = num; + small = opnum.getvec(); + } else { + difint = opnum.getvec(); + small = num; + } + + for(uint i = small.size() - 1; i >= 0; i--) { + if(i > small.size()) break; + if(difint[i] < small[i]) { + uint temp = i + 1; + while(difint[temp] == 0) { + difint[temp] = cunit - 1; + temp++; + if(temp >= difint.size()) break; + } + if(temp < difint.size()) difint[temp]--; + difint[i] += cunit; + } + difint[i] -= small[i]; + } + + if(sign * compare(opnum) == 1) return vtos(difint); + else return "-" + vtos(difint); + } +} + +/* 定义乘法，用 FFT 实现 */ +string lint::operator *(lint opnum) +{ + uint a_size = len, b_size = opnum.getlen(); + vector< complex > a(a_size), b(b_size); + + for(uint i = 0; i < a_size; i++) a[i].real() = num[i]; + for(uint i = 0; i < b_size; i++) b[i].real() = (opnum[i]); + + uint n; + a_size += b_size; + for (n = a_size; n != (n&-n); n += (n&-n)); + + a.resize(n); + b.resize(n); + + FFT(a, n); + FFT(b, n); + for (uint i = 0; i < n; i++) + a[i] *= b[i]; + IFFT(a, n); + + for (uint i = 0; i < a_size-1; i++) { + a[i + 1] += a[i].real() / 1000.; + a[i] = fmodl(a[i].real(), 1000.L); + a[i].real() += eps; + } + + vuint mulout(n); + for(uint i = 0; i < a.size(); i++) mulout[i] = a[i].real(); + + if(sign * opnum.getsign() == -1) return "-" + vtos(mulout); + else return vtos(mulout); +} + +int lint::operator ==(lint opnum) +{ + if(sign * opnum.getsign() > 0) { + if(sign == 1) return compare(opnum); + if(sign == -1) return -(compare(opnum)); + else return 0; + } else { + if(sign == 1) return 1; + else return -1; + } +} + +int lint::compare(lint opnum) +{ + if(length > opnum.getlength()) return 1; + if(length < opnum.getlength()) return -1; + else { + for(uint i = len - 1; i >= 0; i--) { + if(i > len - 1) break; + if(num[i] > (opnum[i])) return 1; + if(num[i] < (opnum[i])) return -1; + } + return 0; + } +} + +/* 定义除法 */ +string lint::operator /(lint opnum) +{ + if(compare(opnum) == -1) return "0"; + if(compare(opnum) == 0) return "1"; + else { + uint move = len - opnum.getlen(); + vuint devint(move + 1); + vuint open = getvec(); + open.resize(len + 1); + open[len] = 0; + for(uint i = move; i >= 0; i--) { + if(i > move) break; + uint high = i + opnum.getlen() - 1; + if(open.capacity() <= high) { + open.resize(high + 2); + open[high + 1] = 0; + } + uint temp = (open[high] + open[high + 1] * cunit) / opnum.getvec().back() + 2; + vuint tryvec; + int count = 1; + do { + if(--temp > cunit * cunit) temp = 1; + tryvec = vmul(opnum.getvec(), temp, i); + count++; + } while(vless(open, tryvec) && count < 20); + devint[i] = temp; + open = vdif(open, tryvec); + open[open.size()] = 0; + tryvec.clear(); + } + if(sign * opnum.getsign() == 1) return vtos(devint); + else return "-" + vtos(devint); + } +} + + +string lint::operator %(lint opnum) +{ + if(sign == 1 && compare(opnum) == -1) return getd(); + else { + lint div = getd(); + lint q = (div / opnum); + lint mod = (div - (q * opnum)); + if(sign == 1) return mod.getd(); + else return (opnum - mod); + } +} + +vuint lint::getbit() +{ + vuint out(len * 3); + lint opnum = getd(); + lint bit("2"); + uint i; + for(i = 0; i < len * 3; i++) { + if(opnum % bit == "1") out[i] = 1; + else out[i] = 0; + opnum = opnum / bit; + } + while(opnum.getd() != "0") { + out.resize(i + 2); + if(opnum % bit == "1") out[i] = 1; + else out[i] = 0; + opnum = opnum / bit; + i++; + } + return del(out); +} + + +string lint::operator ^(lint opnum) +{ + lint power("1"); + lint base = getd(); + for(uint i = opnum.getbit().size() - 1; i >= 0; i--) { + if(i > opnum.getbit().size()) break; + power = (power * power); + if(opnum.getbit()[i] == 1) power = (power * base); + } + + return del(power.getd()); +} + + + + + + + + + + + + + + + + + + + + + + +/* 消去首位0 */ +string del(string undel) +{ + uint flag = 0; + while(undel.substr(0, 2) == "--") undel = undel.substr(2, undel.size() - 2); + if(undel[0] == '-') { + undel = undel.substr(1, undel.size() - 1); + flag = 1; + } + while(undel.size() > 1 && undel[0] == '0') + undel = undel.substr(1, undel.size() - 1); + if(undel.size() == 1 && undel[0] == '0') return "0"; + if(flag) return "-" + undel; + return undel; +} + +vuint del(vuint undel) +{ + while(undel[undel.size() - 1] == 0) undel.pop_back(); + vuint out(undel.size()); + for(uint i = 0; i < undel.size(); i++) out[i] = undel[i]; + return out; +} + + +/* 整数到字符串的转换 */ +string itos(uint intin) +{ + string strout = ""; + if(intin == 0) return "0"; + while(intin > 0) { + char temp = intin % carry + '0'; + strout = temp + strout; + intin /= carry; + } + return strout; +} + + +/* 向量到字符串的转换 */ +string vtos(vuint vin) +{ + string strout = ""; + string temp = ""; + for(uint i = vin.size() - 1; i >= 0; i--) { + if(i > vin.size() - 1) break; + temp = itos(vin[i] % cunit); + while(temp.size() < unit) temp = "0" + temp; + strout += temp; + } + + return del(strout); +} +/** + 向量转比特流 +string vtobit(vuint vin) +{ + string strout = ""; + for(uint i = vin.size() - 1; i >= 0; i--) { + if(i > vin.size()) break; + if(vin[i]) strout += "1"; + else strout += "0"; + } + return del(strout); +}*/ + +/* 向量和整数的乘法 */ +vuint vmul(vuint op, uint opnum, uint power = 0) +{ + if(power) { + op.resize(op.size() + power); + for(uint i = op.size() - 1; i >= power; i--) { + if(i > op.size()) break; + op[i] = op[i - power]; + } + for(uint i = power - 1; i >= 0; i--) { + if(i > op.size()) break; + op[i] = 0; + } + } + lint big(vtos(op)); + lint small(itos(opnum)); + lint out(big * small); + return out.getvec(); +} + + +/* 向量减法 */ +vuint vdif(vuint big, vuint small) +{ + lint bigint(vtos(big)); + lint smallint(vtos(small)); + if(bigint.compare(smallint) == -1) return big; + else { + lint out(bigint - smallint); + return out.getvec(); + } +} + +/* 比较大小 */ +uint vless(vuint big, vuint small) +{ + lint bigint(vtos(big)); + lint smallint(vtos(small)); + if(bigint.compare(smallint) == -1) return 1; + else return 0; +} + +/* 快速傅立叶变换 */ +void FFT(vector< complex > &x, uint n) +{ + uint i,j,k,t; + + for (i = 0; i < n; ++i) { + j = 0; + for (t = i, k = n; k /= 2; t /= 2) + j = j*2+t%2; + if (j > i) swap(x[j], x[i]); + } + + for (k = 2; k <= n; k *= 2) { + const complex omega_unit(cosl(2*PI/k), sinl(2*PI/k)); + for (i = 0; i < n; i += k) { + complex omega(1, 0); + for (j = 0; j < k/2; ++j) { + complex t = omega*x[i+j+k/2]; + x[i+j+k/2] = x[i+j]-t; + x[i+j] += t; + omega *= omega_unit; + } + } + } +} + +void IFFT(vector< complex > &x, uint n) +{ uint i,j,k,t; + for (i = 0; i < n; ++i) { + j = 0; + for (t = i, k = n; k /= 2; t /= 2) + j = j*2+t%2; + if (j > i) swap(x[j], x[i]); + } + for (k = 2; k <= n; k *= 2) { + const complex omega_unit(cosl(-2*PI/k), sinl(-2*PI/k)); + for (i = 0; i < n; i += k) { + complex omega(1, 0); + for (j = 0; j < k/2; ++j) { + complex t = omega*x[i+j+k/2]; + x[i+j+k/2] = x[i+j]-t; + x[i+j] += t; + omega *= omega_unit; + } + } + } + for (i = 0; i < n; ++i) + x[i] /= n; +} + + +/* 求两数最大公约数 */ +string gcd(lint a, lint b) +{ + if(b.getd() == "0") return a.getd(); + else { + lint newb = a % b; + return gcd(b, newb); + } +} diff --git a/c++/lib/lint.hpp b/c++/lib/lint.hpp new file mode 100644 index 0000000..6751c2c --- /dev/null +++ b/c++/lib/lint.hpp @@ -0,0 +1,69 @@ +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define unit 3 +#define carry 10 +#define cunit 1000 +#define eps 0.00001 +typedef unsigned int uint; +typedef vector vuint; +const long double PI = 3.1415926535897932384626433832795L; + + +string del(string);//除去字符串前位多余负号和0 +vuint del(vuint);//除去向量前位多余0 +string itos(uint);//整数转字符串 +string vtos(vuint);//向量转字符串 +//string vtobit(vuint);//向量转比特流 +uint vless(vuint, vuint);//前者是否小于后者 +vuint vmul(vuint, uint, uint);//向量与整数乘法 +vuint vdif(vuint, vuint);//向量做差 +void FFT(vector< complex > &, uint); +void IFFT(vector< complex > &, uint); + + + +/* class */ +class lint { + public: + lint(); + lint(string); + ~lint(); + + string getd();//获得十进制无符号整数 + vuint getvec();//获得整数向量 + vuint getbit();//获得二进制向量 + uint operator [](uint);//获得整数向量中的元素 + uint getlen();//获得向量长度 + uint getlength();//获得无符号整数长度 + int getsign();//获得符号 + + int compare(lint);//比较无符号整数大小 + int operator ==(lint);//比较有符号整数大小 + /*以下返回的都是有符号整数*/ + void operator =(string); + string operator +(lint); + string operator *(lint); + string operator -(lint); + string operator /(lint); + string operator ^(lint); + /*以下返回无符号整数*/ + string operator %(lint); + + + + private: + uint len;//向量长度 + uint length;//数字部分长度 + vuint num;//整数组向量 + int sign;//符号 +}; + +string gcd(lint, lint);//求两数最大公约数 diff --git a/c++/lib/names.txt b/c++/lib/names.txt new file mode 100644 index 0000000..7b8986b --- /dev/null +++ b/c++/lib/names.txt @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/c++/lib/random.h b/c++/lib/random.h new file mode 100644 index 0000000..0665ecc --- /dev/null +++ b/c++/lib/random.h @@ -0,0 +1,31 @@ +#include +#include +#include + +int random(int a_random, int b_random); +double random(double c_random, double d_random, int accu); + +int random(int a_random, int b_random) +{ + if(a_random >= b_random) return 0; + int temp_int_random; + int int_random = 0; + int accu = b_random - a_random; + if(accu < 10000) accu = 10000; + temp_int_random = time(NULL) % (accu - 1) + 1; + for(int i_int_random = 1; i_int_random <= temp_int_random; i_int_random++) + int_random = (int_random + rand()) % accu; + int_random = int_random % (b_random - a_random) + a_random; + return int_random; +} + +double random(double a_random, double b_random, int accu = 4) +{ + if(a_random >= b_random) return 0; + double temp = 0.0; + for(int i = 1; i <= accu; i++) { + temp += double(random(0, 10)) * pow(0.1, double(i)); + } + return temp * (b_random - a_random) + a_random; +} + diff --git a/c++/lib/try.cpp b/c++/lib/try.cpp new file mode 100644 index 0000000..ffeaab5 --- /dev/null +++ b/c++/lib/try.cpp @@ -0,0 +1,23 @@ +#include +#include "lint.cpp" +#include +using namespace std; + +const uint x = 10000 - 1; + +int main() +{ + lint a[3]; + a[0] = "1"; + a[1] = "1"; + a[2] = "0"; + timeb start, end; + ftime(&start); + for(uint i = 1; i <= x; i++) { + a[(i + 1) % 2] = a[i % 2] + a[(i - 1) % 2]; + } + ftime(&end); + cout << a[x % 2].getd() << endl; + cout << (end.time - start.time) * 1000 + end.millitm - start.millitm << endl; + return 0; +} diff --git a/cipher1.txt b/cipher1.txt new file mode 100644 index 0000000..c3ce21e --- /dev/null +++ b/cipher1.txt @@ -0,0 +1 @@ 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diff --git a/keylog.txt b/keylog.txt new file mode 100644 index 0000000..41f1567 --- /dev/null +++ b/keylog.txt @@ -0,0 +1,50 @@ +319 +680 +180 +690 +129 +620 +762 +689 +762 +318 +368 +710 +720 +710 +629 +168 +160 +689 +716 +731 +736 +729 +316 +729 +729 +710 +769 +290 +719 +680 +318 +389 +162 +289 +162 +718 +729 +319 +790 +680 +890 +362 +319 +760 +316 +729 +380 +319 +728 +716 diff --git a/matrix.txt b/matrix.txt new file mode 100644 index 0000000..f65322a --- /dev/null +++ b/matrix.txt @@ -0,0 +1,80 @@ +4445,2697,5115,718,2209,2212,654,4348,3079,6821,7668,3276,8874,4190,3785,2752,9473,7817,9137,496,7338,3434,7152,4355,4552,7917,7827,2460,2350,691,3514,5880,3145,7633,7199,3783,5066,7487,3285,1084,8985,760,872,8609,8051,1134,9536,5750,9716,9371,7619,5617,275,9721,2997,2698,1887,8825,6372,3014,2113,7122,7050,6775,5948,2758,1219,3539,348,7989,2735,9862,1263,8089,6401,9462,3168,2758,3748,5870 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5C QS TC 9H 4D JC KS JS +7C 5H KC QH JD AS KH 4C AD 4S +5H KS 9C 7D 9H 8D 3S 5D 5C AH +6H 4H 5C 3H 2H 3S QH 5S 6S AS +TD 8C 4H 7C TC KC 4C 3H 7S KS +7C 9C 6D KD 3H 4C QS QC AC KH +JC 6S 5H 2H 2D KD 9D 7C AS JS +AD QH TH 9D 8H TS 6D 3S AS AC +2H 4S 5C 5S TC KC JD 6C TS 3C +QD AS 6H JS 2C 3D 9H KC 4H 8S +KD 8S 9S 7C 2S 3S 6D 6S 4H KC +3C 8C 2D 7D 4D 9S 4S QH 4H JD +8C KC 7S TC 2D TS 8H QD AC 5C +3D KH QD 6C 6S AD AS 8H 2H QS +6S 8D 4C 8S 6C QH TC 6D 7D 9D +2S 8D 8C 4C TS 9S 9D 9C AC 3D +3C QS 2S 4H JH 3D 2D TD 8S 9H +5H QS 8S 6D 3C 8C JD AS 7H 7D +6H TD 9D AS JH 6C QC 9S KD JC +AH 8S QS 4D TH AC TS 3C 3D 5C +5S 4D JS 3D 8H 6C TS 3S AD 8C +6D 7C 5D 5H 3S 5C JC 2H 5S 3D +5H 6H 2S KS 3D 5D JD 7H JS 8H +KH 4H AS JS QS QC TC 6D 7C KS +3D QS TS 2H JS 4D AS 9S JC KD +QD 5H 4D 5D KH 7H 3D JS KD 4H +2C 9H 6H 5C 9D 6C JC 2D TH 9S +7D 6D AS QD JH 4D JS 7C QS 5C +3H KH QD AD 8C 8H 3S TH 9D 5S +AH 9S 4D 9D 8S 4H JS 3C TC 8D +2C KS 5H QD 3S TS 9H AH AD 8S +5C 7H 5D KD 9H 4D 3D 2D KS AD +KS KC 9S 6D 2C QH 9D 9H TS TC +9C 6H 5D QH 4D AD 6D QC JS KH +9S 3H 9D JD 5C 4D 9H AS TC QH +2C 6D JC 9C 3C AD 9S KH 9D 7D +KC 9C 7C JC JS KD 3H AS 3C 7D +QD KH QS 2C 3S 8S 8H 9H 9C JC +QH 8D 3C KC 4C 4H 6D AD 9H 9D +3S KS QS 7H KH 7D 5H 5D JD AD +2H 2C 6H TH TC 7D 8D 4H 8C AS +4S 2H AC QC 3S 6D TH 4D 4C KH +4D TC KS AS 7C 3C 6D 2D 9H 6C +8C TD 5D QS 2C 7H 4C 9C 3H 9H +5H JH TS 7S TD 6H AD QD 8H 8S +5S AD 9C 8C 7C 8D 5H 9D 8S 2S +4H KH KS 9S 2S KC 5S AD 4S 7D +QS 9C QD 6H JS 5D AC 8D 2S AS +KH AC JC 3S 9D 9S 3C 9C 5S JS +AD 3C 3D KS 3S 5C 9C 8C TS 4S +JH 8D 5D 6H KD QS QD 3D 6C KC +8S JD 6C 3S 8C TC QC 3C QH JS +KC JC 8H 2S 9H 9C JH 8S 8C 9S +8S 2H QH 4D QC 9D KC AS TH 3C +8S 6H TH 7C 2H 6S 3C 3H AS 7S +QH 5S JS 4H 5H TS 8H AH AC JC +9D 8H 2S 4S TC JC 3C 7H 3H 5C +3D AD 3C 3S 4C QC AS 5D TH 8C +6S 9D 4C JS KH AH TS JD 8H AD +4C 6S 9D 7S AC 4D 3D 3S TC JD +AD 7H 6H 4H JH KC TD TS 7D 6S +8H JH TC 3S 8D 8C 9S 2C 5C 4D +2C 9D KC QH TH QS JC 9C 4H TS +QS 3C QD 8H KH 4H 8D TD 8S AC +7C 3C TH 5S 8H 8C 9C JD TC KD +QC TC JD TS 8C 3H 6H KD 7C TD +JH QS KS 9C 6D 6S AS 9H KH 6H +2H 4D AH 2D JH 6H TD 5D 4H JD +KD 8C 9S JH QD JS 2C QS 5C 7C +4S TC 7H 8D 2S 6H 7S 9C 7C KC +8C 5D 7H 4S TD QC 8S JS 4H KS +AD 8S JH 6D TD KD 7C 6C 2D 7D +JC 6H 6S JS 4H QH 9H AH 4C 3C +6H 5H AS 7C 7S 3D KH KC 5D 5C +JC 3D TD AS 4D 6D 6S QH JD KS +8C 7S 8S QH 2S JD 5C 7H AH QD +8S 3C 6H 6C 2C 8D TD 7D 4C 4D +5D QH KH 7C 2S 7H JS 6D QC QD +AD 6C 6S 7D TH 6H 2H 8H KH 4H +KS JS KD 5D 2D KH 7D 9C 8C 3D +9C 6D QD 3C KS 3S 7S AH JD 2D +AH QH AS JC 8S 8H 4C KC TH 7D +JC 5H TD 7C 5D KD 4C AD 8H JS +KC 2H AC AH 7D JH KH 5D 7S 6D +9S 5S 9C 6H 8S TD JD 9H 6C AC +7D 8S 6D TS KD 7H AC 5S 7C 5D +AH QC JC 4C TC 8C 2H TS 2C 7D +KD KC 6S 3D 7D 2S 8S 3H 5S 5C +8S 5D 8H 4C 6H KC 3H 7C 5S KD +JH 8C 3D 3C 6C KC TD 7H 7C 4C +JC KC 6H TS QS TD KS 8H 8C 9S +6C 5S 9C QH 7D AH KS KC 9S 2C +4D 4S 8H TD 9C 3S 7D 9D AS TH +6S 7D 3C 6H 5D KD 2C 5C 9D 9C +2H KC 3D AD 3H QD QS 8D JC 4S +8C 3H 9C 7C AD 5D JC 9D JS AS +5D 9H 5C 7H 6S 6C QC JC QD 9S +JC QS JH 2C 6S 9C QC 3D 4S TC +4H 5S 8D 3D 4D 2S KC 2H JS 2C +TD 3S TH KD 4D 7H JH JS KS AC +7S 8C 9S 2D 8S 7D 5C AD 9D AS +8C 7H 2S 6C TH 3H 4C 3S 8H AC +KD 5H JC 8H JD 2D 4H TD JH 5C +3D AS QH KS 7H JD 8S 5S 6D 5H +9S 6S TC QS JC 5C 5D 9C TH 8C +5H 3S JH 9H 2S 2C 6S 7S AS KS +8C QD JC QS TC QC 4H AC KH 6C +TC 5H 7D JH 4H 2H 8D JC KS 4D +5S 9C KH KD 9H 5C TS 3D 7D 2D +5H AS TC 4D 8C 2C TS 9D 3H 8D +6H 8D 2D 9H JD 6C 4S 5H 5S 6D +AD 9C JC 7D 6H 9S 6D JS 9H 3C +AD JH TC QS 4C 5D 9S 7C 9C AH +KD 6H 2H TH 8S QD KS 9D 9H AS +4H 8H 8D 5H 6C AH 5S AS AD 8S +QS 5D 4S 2H TD KS 5H AC 3H JC +9C 7D QD KD AC 6D 5H QH 6H 5S +KC AH QH 2H 7D QS 3H KS 7S JD +6C 8S 3H 6D KS QD 5D 5C 8H TC +9H 4D 4S 6S 9D KH QC 4H 6C JD +TD 2D QH 4S 6H JH KD 3C QD 8C +4S 6H 7C QD 9D AS AH 6S AD 3C +2C KC TH 6H 8D AH 5C 6D 8S 5D +TD TS 7C AD JC QD 9H 3C KC 7H +5D 4D 5S 8H 4H 7D 3H JD KD 2D +JH TD 6H QS 4S KD 5C 8S 7D 8H +AC 3D AS 8C TD 7H KH 5D 6C JD +9D KS 7C 6D QH TC JD KD AS KC +JH 8S 5S 7S 7D AS 2D 3D AD 2H +2H 5D AS 3C QD KC 6H 9H 9S 2C +9D 5D TH 4C JH 3H 8D TC 8H 9H +6H KD 2C TD 2H 6C 9D 2D JS 8C +KD 7S 3C 7C AS QH TS AD 8C 2S +QS 8H 6C JS 4C 9S QC AD TD TS +2H 7C TS TC 8C 3C 9H 2D 6D JC +TC 2H 8D JH KS 6D 3H TD TH 8H +9D TD 9H QC 5D 6C 8H 8C KC TS +2H 8C 3D AH 4D TH TC 7D 8H KC +TS 5C 2D 8C 6S KH AH 5H 6H KC +5S 5D AH TC 4C JD 8D 6H 8C 6C +KC QD 3D 8H 2D JC 9H 4H AD 2S +TD 6S 7D JS KD 4H QS 2S 3S 8C +4C 9H JH TS 3S 4H QC 5S 9S 9C +2C KD 9H JS 9S 3H JC TS 5D AC +AS 2H 5D AD 5H JC 7S TD JS 4C +2D 4S 8H 3D 7D 2C AD KD 9C TS +7H QD JH 5H JS AC 3D TH 4C 8H +6D KH KC QD 5C AD 7C 2D 4H AC +3D 9D TC 8S QD 2C JC 4H JD AH +6C TD 5S TC 8S AH 2C 5D AS AC +TH 7S 3D AS 6C 4C 7H 7D 4H AH +5C 2H KS 6H 7S 4H 5H 3D 3C 7H +3C 9S AC 7S QH 2H 3D 6S 3S 3H +2D 3H AS 2C 6H TC JS 6S 9C 6C +QH KD QD 6D AC 6H KH 2C TS 8C +8H 7D 3S 9H 5D 3H 4S QC 9S 5H +2D 9D 7H 6H 3C 8S 5H 4D 3S 4S +KD 9S 4S TC 7S QC 3S 8S 2H 7H +TC 3D 8C 3H 6C 2H 6H KS KD 4D +KC 3D 9S 3H JS 4S 8H 2D 6C 8S +6H QS 6C TC QD 9H 7D 7C 5H 4D +TD 9D 8D 6S 6C TC 5D TS JS 8H +4H KC JD 9H TC 2C 6S 5H 8H AS +JS 9C 5C 6S 9D JD 8H KC 4C 6D +4D 8D 8S 6C 7C 6H 7H 8H 5C KC +TC 3D JC 6D KS 9S 6H 7S 9C 2C +6C 3S KD 5H TS 7D 9H 9S 6H KH +3D QD 4C 6H TS AC 3S 5C 2H KD +4C AS JS 9S 7C TS 7H 9H JC KS +4H 8C JD 3H 6H AD 9S 4S 5S KS +4C 2C 7D 3D AS 9C 2S QS KC 6C +8S 5H 3D 2S AC 9D 6S 3S 4D TD +QD TH 7S TS 3D AC 7H 6C 5D QC +TC QD AD 9C QS 5C 8D KD 3D 3C +9D 8H AS 3S 7C 8S JD 2D 8D KC +4C TH AC QH JS 8D 7D 7S 9C KH +9D 8D 4C JH 2C 2S QD KD TS 4H +4D 6D 5D 2D JH 3S 8S 3H TC KH +AD 4D 2C QS 8C KD JH JD AH 5C +5C 6C 5H 2H JH 4H KS 7C TC 3H +3C 4C QC 5D JH 9C QD KH 8D TC +3H 9C JS 7H QH AS 7C 9H 5H JC +2D 5S QD 4S 3C KC 6S 6C 5C 4C +5D KH 2D TS 8S 9C AS 9S 7C 4C +7C AH 8C 8D 5S KD QH QS JH 2C +8C 9D AH 2H AC QC 5S 8H 7H 2C +QD 9H 5S QS QC 9C 5H JC TH 4H +6C 6S 3H 5H 3S 6H KS 8D AC 7S +AC QH 7H 8C 4S KC 6C 3D 3S TC +9D 3D JS TH AC 5H 3H 8S 3S TC +QD KH JS KS 9S QC 8D AH 3C AC +5H 6C KH 3S 9S JH 2D QD AS 8C +6C 4D 7S 7H 5S JC 6S 9H 4H JH +AH 5S 6H 9S AD 3S TH 2H 9D 8C +4C 8D 9H 7C QC AD 4S 9C KC 5S +9D 6H 4D TC 4C JH 2S 5D 3S AS +2H 6C 7C KH 5C AD QS TH JD 8S +3S 4S 7S AH AS KC JS 2S AD TH +JS KC 2S 7D 8C 5C 9C TS 5H 9D +7S 9S 4D TD JH JS KH 6H 5D 2C +JD JS JC TH 2D 3D QD 8C AC 5H +7S KH 5S 9D 5D TD 4S 6H 3C 2D +4S 5D AC 8D 4D 7C AD AS AH 9C +6S TH TS KS 2C QC AH AS 3C 4S +2H 8C 3S JC 5C 7C 3H 3C KH JH +7S 3H JC 5S 6H 4C 2S 4D KC 7H +4D 7C 4H 9S 8S 6S AD TC 6C JC +KH QS 3S TC 4C 8H 8S AC 3C TS +QD QS TH 3C TS 7H 7D AH TD JC +TD JD QC 4D 9S 7S TS AD 7D AC +AH 7H 4S 6D 7C 2H 9D KS JC TD +7C AH JD 4H 6D QS TS 2H 2C 5C +TC KC 8C 9S 4C JS 3C JC 6S AH +AS 7D QC 3D 5S JC JD 9D TD KH +TH 3C 2S 6H AH AC 5H 5C 7S 8H +QC 2D AC QD 2S 3S JD QS 6S 8H +KC 4H 3C 9D JS 6H 3S 8S AS 8C +7H KC 7D JD 2H JC QH 5S 3H QS +9H TD 3S 8H 7S AC 5C 6C AH 7C +8D 9H AH JD TD QS 7D 3S 9C 8S +AH QH 3C JD KC 4S 5S 5D TD KS +9H 7H 6S JH TH 4C 7C AD 5C 2D +7C KD 5S TC 9D 6S 6C 5D 2S TH +KC 9H 8D 5H 7H 4H QC 3D 7C AS +6S 8S QC TD 4S 5C TH QS QD 2S +8S 5H TH QC 9H 6S KC 7D 7C 5C +7H KD AH 4D KH 5C 4S 2D KC QH +6S 2C TD JC AS 4D 6C 8C 4H 5S +JC TC JD 5S 6S 8D AS 9D AD 3S +6D 6H 5D 5S TC 3D 7D QS 9D QD +4S 6C 8S 3S 7S AD KS 2D 7D 7C +KC QH JC AC QD 5D 8D QS 7H 7D +JS AH 8S 5H 3D TD 3H 4S 6C JH +4S QS 7D AS 9H JS KS 6D TC 5C +2D 5C 6H TC 4D QH 3D 9H 8S 6C +6D 7H TC TH 5S JD 5C 9C KS KD +8D TD QH 6S 4S 6C 8S KC 5C TC +5S 3D KS AC 4S 7D QD 4C TH 2S +TS 8H 9S 6S 7S QH 3C AH 7H 8C +4C 8C TS JS QC 3D 7D 5D 7S JH +8S 7S 9D QC AC 7C 6D 2H JH KC +JS KD 3C 6S 4S 7C AH QC KS 5H +KS 6S 4H JD QS TC 8H KC 6H AS +KH 7C TC 6S TD JC 5C 7D AH 3S +3H 4C 4H TC TH 6S 7H 6D 9C QH +7D 5H 4S 8C JS 4D 3D 8S QH KC +3H 6S AD 7H 3S QC 8S 4S 7S JS +3S JD KH TH 6H QS 9C 6C 2D QD +4S QH 4D 5H KC 7D 6D 8D TH 5S +TD AD 6S 7H KD KH 9H 5S KC JC +3H QC AS TS 4S QD KS 9C 7S KC +TS 6S QC 6C TH TC 9D 5C 5D KD +JS 3S 4H KD 4C QD 6D 9S JC 9D +8S JS 6D 4H JH 6H 6S 6C KS KH +AC 7D 5D TC 9S KH 6S QD 6H AS +AS 7H 6D QH 8D TH 2S KH 5C 5H +4C 7C 3D QC TC 4S KH 8C 2D JS +6H 5D 7S 5H 9C 9H JH 8S TH 7H +AS JS 2S QD KH 8H 4S AC 8D 8S +3H 4C TD KD 8C JC 5C QS 2D JD +TS 7D 5D 6C 2C QS 2H 3C AH KS +4S 7C 9C 7D JH 6C 5C 8H 9D QD +2S TD 7S 6D 9C 9S QS KH QH 5C +JC 6S 9C QH JH 8D 7S JS KH 2H +8D 5H TH KC 4D 4S 3S 6S 3D QS +2D JD 4C TD 7C 6D TH 7S JC AH +QS 7S 4C TH 9D TS AD 4D 3H 6H +2D 3H 7D JD 3D AS 2S 9C QC 8S +4H 9H 9C 2C 7S JH KD 5C 5D 6H +TC 9H 8H JC 3C 9S 8D KS AD KC +TS 5H JD QS QH QC 8D 5D KH AH +5D AS 8S 6S 4C AH QC QD TH 7H +3H 4H 7D 6S 4S 9H AS 8H JS 9D +JD 8C 2C 9D 7D 5H 5S 9S JC KD +KD 9C 4S QD AH 7C AD 9D AC TD +6S 4H 4S 9C 8D KS TC 9D JH 7C +5S JC 5H 4S QH AC 2C JS 2S 9S +8C 5H AS QD AD 5C 7D 8S QC TD +JC 4C 8D 5C KH QS 4D 6H 2H 2C +TH 4S 2D KC 3H QD AC 7H AD 9D +KH QD AS 8H TH KC 8D 7S QH 8C +JC 6C 7D 8C KH AD QS 2H 6S 2D +JC KH 2D 7D JS QC 5H 4C 5D AD +TS 3S AD 4S TD 2D TH 6S 9H JH +9H 2D QS 2C 4S 3D KH AS AC 9D +KH 6S 8H 4S KD 7D 9D TS QD QC +JH 5H AH KS AS AD JC QC 5S KH +5D 7D 6D KS KD 3D 7C 4D JD 3S +AC JS 8D 5H 9C 3H 4H 4D TS 2C +6H KS KH 9D 7C 2S 6S 8S 2H 3D +6H AC JS 7S 3S TD 8H 3H 4H TH +9H TC QC KC 5C KS 6H 4H AC 8S +TC 7D QH 4S JC TS 6D 6C AC KH +QH 7D 7C JH QS QD TH 3H 5D KS +3D 5S 8D JS 4C 2C KS 7H 9C 4H +5H 8S 4H TD 2C 3S QD QC 3H KC +QC JS KD 9C AD 5S 9D 7D 7H TS +8C JC KH 7C 7S 6C TS 2C QD TH +5S 9D TH 3C 7S QH 8S 9C 2H 5H +5D 9H 6H 2S JS KH 3H 7C 2H 5S +JD 5D 5S 2C TC 2S 6S 6C 3C 8S +4D KH 8H 4H 2D KS 3H 5C 2S 9H +3S 2D TD 7H 8S 6H JD KC 9C 8D +6S QD JH 7C 9H 5H 8S 8H TH TD +QS 7S TD 7D TS JC KD 7C 3C 2C +3C JD 8S 4H 2D 2S TD AS 4D AC +AH KS 6C 4C 4S 7D 8C 9H 6H AS +5S 3C 9S 2C QS KD 4D 4S AC 5D +2D TS 2C JS KH QH 5D 8C AS KC +KD 3H 6C TH 8S 7S KH 6H 9S AC +6H 7S 6C QS AH 2S 2H 4H 5D 5H +5H JC QD 2C 2S JD AS QC 6S 7D +6C TC AS KD 8H 9D 2C 7D JH 9S +2H 4C 6C AH 8S TD 3H TH 7C TS +KD 4S TS 6C QH 8D 9D 9C AH 7D +6D JS 5C QD QC 9C 5D 8C 2H KD +3C QH JH AD 6S AH KC 8S 6D 6H +3D 7C 4C 7S 5S 3S 6S 5H JC 3C +QH 7C 5H 3C 3S 8C TS 4C KD 9C +QD 3S 7S 5H 7H QH JC 7C 8C KD +3C KD KH 2S 4C TS AC 6S 2C 7C +2C KH 3C 4C 6H 4D 5H 5S 7S QD +4D 7C 8S QD TS 9D KS 6H KD 3C +QS 4D TS 7S 4C 3H QD 8D 9S TC +TS QH AC 6S 3C 9H 9D QS 8S 6H +3S 7S 5D 4S JS 2D 6C QH 6S TH +4C 4H AS JS 5D 3D TS 9C AC 8S +6S 9C 7C 3S 5C QS AD AS 6H 3C +9S 8C 7H 3H 6S 7C AS 9H JD KH +3D 3H 7S 4D 6C 7C AC 2H 9C TH +4H 5S 3H AC TC TH 9C 9H 9S 8D +8D 9H 5H 4D 6C 2H QD 6S 5D 3S +4C 5C JD QS 4D 3H TH AC QH 8C +QC 5S 3C 7H AD 4C KS 4H JD 6D +QS AH 3H KS 9H 2S JS JH 5H 2H +2H 5S TH 6S TS 3S KS 3C 5H JS +2D 9S 7H 3D KC JH 6D 7D JS TD +AC JS 8H 2C 8C JH JC 2D TH 7S +5D 9S 8H 2H 3D TC AH JC KD 9C +9D QD JC 2H 6D KH TS 9S QH TH +2C 8D 4S JD 5H 3H TH TC 9C KC +AS 3D 9H 7D 4D TH KH 2H 7S 3H +4H 7S KS 2S JS TS 8S 2H QD 8D +5S 6H JH KS 8H 2S QC AC 6S 3S +JC AS AD QS 8H 6C KH 4C 4D QD +2S 3D TS TD 9S KS 6S QS 5C 8D +3C 6D 4S QC KC JH QD TH KH AD +9H AH 4D KS 2S 8D JH JC 7C QS +2D 6C TH 3C 8H QD QH 2S 3S KS +6H 5D 9S 4C TS TD JS QD 9D JD +5H 8H KH 8S KS 7C TD AD 4S KD +2C 7C JC 5S AS 6C 7D 8S 5H 9C +6S QD 9S TS KH QS 5S QH 3C KC +7D 3H 3C KD 5C AS JH 7H 6H JD +9D 5C 9H KC 8H KS 4S AD 4D 2S +3S JD QD 8D 2S 7C 5S 6S 5H TS +6D 9S KC TD 3S 6H QD JD 5C 8D +5H 9D TS KD 8D 6H TD QC 4C 7D +6D 4S JD 9D AH 9S AS TD 9H QD +2D 5S 2H 9C 6H 9S TD QC 7D TC +3S 2H KS TS 2C 9C 8S JS 9D 7D +3C KC 6D 5D 6C 6H 8S AS 7S QS +JH 9S 2H 8D 4C 8H 9H AD TH KH +QC AS 2S JS 5C 6H KD 3H 7H 2C +QD 8H 2S 8D 3S 6D AH 2C TC 5C +JD JS TS 8S 3H 5D TD KC JC 6H +6S QS TC 3H 5D AH JC 7C 7D 4H +7C 5D 8H 9C 2H 9H JH KH 5S 2C +9C 7H 6S TH 3S QC QD 4C AC JD +2H 5D 9S 7D KC 3S QS 2D AS KH +2S 4S 2H 7D 5C TD TH QH 9S 4D +6D 3S TS 6H 4H KS 9D 8H 5S 2D +9H KS 4H 3S 5C 5D KH 6H 6S JS +KC AS 8C 4C JC KH QC TH QD AH +6S KH 9S 2C 5H TC 3C 7H JC 4D +JD 4S 6S 5S 8D 7H 7S 4D 4C 2H +7H 9H 5D KH 9C 7C TS TC 7S 5H +4C 8D QC TS 4S 9H 3D AD JS 7C +8C QS 5C 5D 3H JS AH KC 4S 9D +TS JD 8S QS TH JH KH 2D QD JS +JD QC 5D 6S 9H 3S 2C 8H 9S TS +2S 4C AD 7H JC 5C 2D 6D 4H 3D +7S JS 2C 4H 8C AD QD 9C 3S TD +JD TS 4C 6H 9H 7D QD 6D 3C AS +AS 7C 4C 6S 5D 5S 5C JS QC 4S +KD 6S 9S 7C 3C 5S 7D JH QD JS +4S 7S JH 2C 8S 5D 7H 3D QH AD +TD 6H 2H 8D 4H 2D 7C AD KH 5D +TS 3S 5H 2C QD AH 2S 5C KH TD +KC 4D 8C 5D AS 6C 2H 2S 9H 7C +KD JS QC TS QS KH JH 2C 5D AD +3S 5H KC 6C 9H 3H 2H AD 7D 7S +7S JS JH KD 8S 7D 2S 9H 7C 2H +9H 2D 8D QC 6S AD AS 8H 5H 6C +2S 7H 6C 6D 7D 8C 5D 9D JC 3C +7C 9C 7H JD 2H KD 3S KH AD 4S +QH AS 9H 4D JD KS KD TS KH 5H +4C 8H 5S 3S 3D 7D TD AD 7S KC +JS 8S 5S JC 8H TH 9C 4D 5D KC +7C 5S 9C QD 2C QH JS 5H 8D KH +TD 2S KS 3D AD KC 7S TC 3C 5D +4C 2S AD QS 6C 9S QD TH QH 5C +8C AD QS 2D 2S KC JD KS 6C JC +8D 4D JS 2H 5D QD 7S 7D QH TS +6S 7H 3S 8C 8S 9D QS 8H 6C 9S +4S TC 2S 5C QD 4D QS 6D TH 6S +3S 5C 9D 6H 8D 4C 7D TC 7C TD +AH 6S AS 7H 5S KD 3H 5H AC 4C +8D 8S AH KS QS 2C AD 6H 7D 5D +6H 9H 9S 2H QS 8S 9C 5D 2D KD +TS QC 5S JH 7D 7S TH 9S 9H AC +7H 3H 6S KC 4D 6D 5C 4S QD TS +TD 2S 7C QD 3H JH 9D 4H 7S 7H +KS 3D 4H 5H TC 2S AS 2D 6D 7D +8H 3C 7H TD 3H AD KC TH 9C KH +TC 4C 2C 9S 9D 9C 5C 2H JD 3C +3H AC TS 5D AD 8D 6H QC 6S 8C +2S TS 3S JD 7H 8S QH 4C 5S 8D +AC 4S 6C 3C KH 3D 7C 2D 8S 2H +4H 6C 8S TH 2H 4S 8H 9S 3H 7S +7C 4C 9C 2C 5C AS 5D KD 4D QH +9H 4H TS AS 7D 8D 5D 9S 8C 2H +QC KD AC AD 2H 7S AS 3S 2D 9S +2H QC 8H TC 6D QD QS 5D KH 3C +TH JD QS 4C 2S 5S AD 7H 3S AS +7H JS 3D 6C 3S 6D AS 9S AC QS +9C TS AS 8C TC 8S 6H 9D 8D 6C +4D JD 9C KC 7C 6D KS 3S 8C AS +3H 6S TC 8D TS 3S KC 9S 7C AS +8C QC 4H 4S 8S 6C 3S TC AH AC +4D 7D 5C AS 2H 6S TS QC AD TC +QD QC 8S 4S TH 3D AH TS JH 4H +5C 2D 9S 2C 3H 3C 9D QD QH 7D +KC 9H 6C KD 7S 3C 4D AS TC 2D +3D JS 4D 9D KS 7D TH QC 3H 3C +8D 5S 2H 9D 3H 8C 4C 4H 3C TH +JC TH 4S 6S JD 2D 4D 6C 3D 4C +TS 3S 2D 4H AC 2C 6S 2H JH 6H +TD 8S AD TC AH AC JH 9S 6S 7S +6C KC 4S JD 8D 9H 5S 7H QH AH +KD 8D TS JH 5C 5H 3H AD AS JS +2D 4H 3D 6C 8C 7S AD 5D 5C 8S +TD 5D 7S 9C 4S 5H 6C 8C 4C 8S +JS QH 9C AS 5C QS JC 3D QC 7C +JC 9C KH JH QS QC 2C TS 3D AD +5D JH AC 5C 9S TS 4C JD 8C KS +KC AS 2D KH 9H 2C 5S 4D 3D 6H +TH AH 2D 8S JC 3D 8C QH 7S 3S +8H QD 4H JC AS KH KS 3C 9S 6D +9S QH 7D 9C 4S AC 7H KH 4D KD +AH AD TH 6D 9C 9S KD KS QH 4H +QD 6H 9C 7C QS 6D 6S 9D 5S JH +AH 8D 5H QD 2H JC KS 4H KH 5S +5C 2S JS 8D 9C 8C 3D AS KC AH +JD 9S 2H QS 8H 5S 8C TH 5C 4C +QC QS 8C 2S 2C 3S 9C 4C KS KH +2D 5D 8S AH AD TD 2C JS KS 8C +TC 5S 5H 8H QC 9H 6H JD 4H 9S +3C JH 4H 9H AH 4S 2H 4C 8D AC +8S TH 4D 7D 6D QD QS 7S TC 7C +KH 6D 2D JD 5H JS QD JH 4H 4S +9C 7S JH 4S 3S TS QC 8C TC 4H +QH 9D 4D JH QS 3S 2C 7C 6C 2D +4H 9S JD 5C 5H AH 9D TS 2D 4C +KS JH TS 5D 2D AH JS 7H AS 8D +JS AH 8C AD KS 5S 8H 2C 6C TH +2H 5D AD AC KS 3D 8H TS 6H QC +6D 4H TS 9C 5H JS JH 6S JD 4C +JH QH 4H 2C 6D 3C 5D 4C QS KC +6H 4H 6C 7H 6S 2S 8S KH QC 8C +3H 3D 5D KS 4H TD AD 3S 4D TS +5S 7C 8S 7D 2C KS 7S 6C 8C JS +5D 2H 3S 7C 5C QD 5H 6D 9C 9H +JS 2S KD 9S 8D TD TS AC 8C 9D +5H QD 2S AC 8C 9H KS 7C 4S 3C +KH AS 3H 8S 9C JS QS 4S AD 4D +AS 2S TD AD 4D 9H JC 4C 5H QS +5D 7C 4H TC 2D 6C JS 4S KC 3S +4C 2C 5D AC 9H 3D JD 8S QS QH +2C 8S 6H 3C QH 6D TC KD AC AH +QC 6C 3S QS 4S AC 8D 5C AD KH +5S 4C AC KH AS QC 2C 5C 8D 9C +8H JD 3C KH 8D 5C 9C QD QH 9D +7H TS 2C 8C 4S TD JC 9C 5H QH +JS 4S 2C 7C TH 6C AS KS 7S JD +JH 7C 9H 7H TC 5H 3D 6D 5D 4D +2C QD JH 2H 9D 5S 3D TD AD KS +JD QH 3S 4D TH 7D 6S QS KS 4H +TC KS 5S 8D 8H AD 2S 2D 4C JH +5S JH TC 3S 2D QS 9D 4C KD 9S +AC KH 3H AS 9D KC 9H QD 6C 6S +9H 7S 3D 5C 7D KC TD 8H 4H 6S +3C 7H 8H TC QD 4D 7S 6S QH 6C +6D AD 4C QD 6C 5D 7D 9D KS TS +JH 2H JD 9S 7S TS KH 8D 5D 8H +2D 9S 4C 7D 9D 5H QD 6D AC 6S +7S 6D JC QD JH 4C 6S QS 2H 7D +8C TD JH KD 2H 5C QS 2C JS 7S +TC 5H 4H JH QD 3S 5S 5D 8S KH +KS KH 7C 2C 5D JH 6S 9C 6D JC +5H AH JD 9C JS KC 2H 6H 4D 5S +AS 3C TH QC 6H 9C 8S 8C TD 7C +KC 2C QD 9C KH 4D 7S 3C TS 9H +9C QC 2S TS 8C TD 9S QD 3S 3C +4D 9D TH JH AH 6S 2S JD QH JS +QD 9H 6C KD 7D 7H 5D 6S 8H AH +8H 3C 4S 2H 5H QS QH 7S 4H AC +QS 3C 7S 9S 4H 3S AH KS 9D 7C +AD 5S 6S 2H 2D 5H TC 4S 3C 8C +QH TS 6S 4D JS KS JH AS 8S 6D +2C 8S 2S TD 5H AS TC TS 6C KC +KC TS 8H 2H 3H 7C 4C 5S TH TD +KD AD KH 7H 7S 5D 5H 5S 2D 9C +AD 9S 3D 7S 8C QC 7C 9C KD KS +3C QC 9S 8C 4D 5C AS QD 6C 2C +2H KC 8S JD 7S AC 8D 5C 2S 4D +9D QH 3D 2S TC 3S KS 3C 9H TD +KD 6S AC 2C 7H 5H 3S 6C 6H 8C +QH TC 8S 6S KH TH 4H 5D TS 4D +8C JS 4H 6H 2C 2H 7D AC QD 3D +QS KC 6S 2D 5S 4H TD 3H JH 4C +7S 5H 7H 8H KH 6H QS TH KD 7D +5H AD KD 7C KH 5S TD 6D 3C 6C +8C 9C 5H JD 7C KC KH 7H 2H 3S +7S 4H AD 4D 8S QS TH 3D 7H 5S +8D TC KS KD 9S 6D AD JD 5C 2S +7H 8H 6C QD 2H 6H 9D TC 9S 7C +8D 6D 4C 7C 6C 3C TH KH JS JH +5S 3S 8S JS 9H AS AD 8H 7S KD +JH 7C 2C KC 5H AS AD 9C 9S JS +AD AC 2C 6S QD 7C 3H TH KS KD +9D JD 4H 8H 4C KH 7S TS 8C KC +3S 5S 2H 7S 6H 7D KS 5C 6D AD +5S 8C 9H QS 7H 7S 2H 6C 7D TD +QS 5S TD AC 9D KC 3D TC 2D 4D +TD 2H 7D JD QD 4C 7H 5D KC 3D +4C 3H 8S KD QH 5S QC 9H TC 5H +9C QD TH 5H TS 5C 9H AH QH 2C +4D 6S 3C AC 6C 3D 2C 2H TD TH +AC 9C 5D QC 4D AD 8D 6D 8C KC +AD 3C 4H AC 8D 8H 7S 9S TD JC +4H 9H QH JS 2D TH TD TC KD KS +5S 6S 9S 8D TH AS KH 5H 5C 8S +JD 2S 9S 6S 5S 8S 5D 7S 7H 9D +5D 8C 4C 9D AD TS 2C 7D KD TC +8S QS 4D KC 5C 8D 4S KH JD KD +AS 5C AD QH 7D 2H 9S 7H 7C TC +2S 8S JD KH 7S 6C 6D AD 5D QC +9H 6H 3S 8C 8H AH TC 4H JS TD +2C TS 4D 7H 2D QC 9C 5D TH 7C +6C 8H QC 5D TS JH 5C 5H 9H 4S +2D QC 7H AS JS 8S 2H 4C 4H 8D +JS 6S AC KD 3D 3C 4S 7H TH KC +QH KH 6S QS 5S 4H 3C QD 3S 3H +7H AS KH 8C 4H 9C 5S 3D 6S TS +9C 7C 3H 5S QD 2C 3D AD AC 5H +JH TD 2D 4C TS 3H KH AD 3S 7S +AS 4C 5H 4D 6S KD JC 3C 6H 2D +3H 6S 8C 2D TH 4S AH QH AD 5H +7C 2S 9H 7H KC 5C 6D 5S 3H JC +3C TC 9C 4H QD TD JH 6D 9H 5S +7C 6S 5C 5D 6C 4S 7H 9H 6H AH +AD 2H 7D KC 2C 4C 2S 9S 7H 3S +TH 4C 8S 6S 3S AD KS AS JH TD +5C TD 4S 4D AD 6S 5D TC 9C 7D +8H 3S 4D 4S 5S 6H 5C AC 3H 3D +9H 3C AC 4S QS 8S 9D QH 5H 4D +JC 6C 5H TS AC 9C JD 8C 7C QD +8S 8H 9C JD 2D QC QH 6H 3C 8D +KS JS 2H 6H 5H QH QS 3H 7C 6D +TC 3H 4S 7H QC 2H 3S 8C JS KH +AH 8H 5S 4C 9H JD 3H 7S JC AC +3C 2D 4C 5S 6C 4S QS 3S JD 3D +5H 2D TC AH KS 6D 7H AD 8C 6H +6C 7S 3C JD 7C 8H KS KH AH 6D +AH 7D 3H 8H 8S 7H QS 5H 9D 2D +JD AC 4H 7S 8S 9S KS AS 9D QH +7S 2C 8S 5S JH QS JC AH KD 4C +AH 2S 9H 4H 8D TS TD 6H QH JD +4H JC 3H QS 6D 7S 9C 8S 9D 8D +5H TD 4S 9S 4C 8C 8D 7H 3H 3D +QS KH 3S 2C 2S 3C 7S TD 4S QD +7C TD 4D 5S KH AC AS 7H 4C 6C +2S 5H 6D JD 9H QS 8S 2C 2H TD +2S TS 6H 9H 7S 4H JC 4C 5D 5S +2C 5H 7D 4H 3S QH JC JS 6D 8H +4C QH 7C QD 3S AD TH 8S 5S TS +9H TC 2S TD JC 7D 3S 3D TH QH +7D 4C 8S 5C JH 8H 6S 3S KC 3H +JC 3H KH TC QH TH 6H 2C AC 5H +QS 2H 9D 2C AS 6S 6C 2S 8C 8S +9H 7D QC TH 4H KD QS AC 7S 3C +4D JH 6S 5S 8H KS 9S QC 3S AS +JD 2D 6S 7S TC 9H KC 3H 7D KD +2H KH 7C 4D 4S 3H JS QD 7D KC +4C JC AS 9D 3C JS 6C 8H QD 4D +AH JS 3S 6C 4C 3D JH 6D 9C 9H +9H 2D 8C 7H 5S KS 6H 9C 2S TC +6C 8C AD 7H 6H 3D KH AS 5D TH +KS 8C 3S TS 8S 4D 5S 9S 6C 4H +9H 4S 4H 5C 7D KC 2D 2H 9D JH +5C JS TC 9D 9H 5H 7S KH JC 6S +7C 9H 8H 4D JC KH JD 2H TD TC +8H 6C 2H 2C KH 6H 9D QS QH 5H +AC 7D 2S 3D QD JC 2D 8D JD JH +2H JC 2D 7H 2C 3C 8D KD TD 4H +3S 4H 6D 8D TS 3H TD 3D 6H TH +JH JC 3S AC QH 9H 7H 8S QC 2C +7H TD QS 4S 8S 9C 2S 5D 4D 2H +3D TS 3H 2S QC 8H 6H KC JC KS +5D JD 7D TC 8C 6C 9S 3D 8D AC +8H 6H JH 6C 5D 8D 8S 4H AD 2C +9D 4H 2D 2C 3S TS AS TC 3C 5D +4D TH 5H KS QS 6C 4S 2H 3D AD +5C KC 6H 2C 5S 3C 4D 2D 9H 9S +JD 4C 3H TH QH 9H 5S AH 8S AC +7D 9S 6S 2H TD 9C 4H 8H QS 4C +3C 6H 5D 4H 8C 9C KC 6S QD QS +3S 9H KD TC 2D JS 8C 6S 4H 4S +2S 4C 8S QS 6H KH 3H TH 8C 5D +2C KH 5S 3S 7S 7H 6C 9D QD 8D +8H KS AC 2D KH TS 6C JS KC 7H +9C KS 5C TD QC AH 6C 5H 9S 7C +5D 4D 3H 4H 6S 7C 7S AH QD TD +2H 7D QC 6S TC TS AH 7S 9D 3H +TH 5H QD 9S KS 7S 7C 6H 8C TD +TH 2D 4D QC 5C 7D JD AH 9C 4H +4H 3H AH 8D 6H QC QH 9H 2H 2C +2D AD 4C TS 6H 7S TH 4H QS TD +3C KD 2H 3H QS JD TC QC 5D 8H +KS JC QD TH 9S KD 8D 8C 2D 9C +3C QD KD 6D 4D 8D AH AD QC 8S +8H 3S 9D 2S 3H KS 6H 4C 7C KC +TH 9S 5C 3D 7D 6H AC 7S 4D 2C +5C 3D JD 4D 2D 6D 5H 9H 4C KH +AS 7H TD 6C 2H 3D QD KS 4C 4S +JC 3C AC 7C JD JS 8H 9S QC 5D +JD 6S 5S 2H AS 8C 7D 5H JH 3D +8D TC 5S 9S 8S 3H JC 5H 7S AS +5C TD 3D 7D 4H 8D 7H 4D 5D JS +QS 9C KS TD 2S 8S 5C 2H 4H AS +TH 7S 4H 7D 3H JD KD 5D 2S KC +JD 7H 4S 8H 4C JS 6H QH 5S 4H +2C QS 8C 5S 3H QC 2S 6C QD AD +8C 3D JD TC 4H 2H AD 5S AC 2S +5D 2C JS 2D AD 9D 3D 4C 4S JH +8D 5H 5D 6H 7S 4D KS 9D TD JD +3D 6D 9C 2S AS 7D 5S 5C 8H JD +7C 8S 3S 6S 5H JD TC AD 7H 7S +2S 9D TS 4D AC 8D 6C QD JD 3H +9S KH 2C 3C AC 3D 5H 6H 8D 5D +KS 3D 2D 6S AS 4C 2S 7C 7H KH +AC 2H 3S JC 5C QH 4D 2D 5H 7S +TS AS JD 8C 6H JC 8S 5S 2C 5D +7S QH 7H 6C QC 8H 2D 7C JD 2S +2C QD 2S 2H JC 9C 5D 2D JD JH +7C 5C 9C 8S 7D 6D 8D 6C 9S JH +2C AD 6S 5H 3S KS 7S 9D KH 4C +7H 6C 2C 5C TH 9D 8D 3S QC AH +5S KC 6H TC 5H 8S TH 6D 3C AH +9C KD 4H AD TD 9S 4S 7D 6H 5D +7H 5C 5H 6D AS 4C KD KH 4H 9D +3C 2S 5C 6C JD QS 2H 9D 7D 3H +AC 2S 6S 7S JS QD 5C QS 6H AD +5H TH QC 7H TC 3S 7C 6D KC 3D +4H 3D QC 9S 8H 2C 3S JC KS 5C +4S 6S 2C 6H 8S 3S 3D 9H 3H JS +4S 8C 4D 2D 8H 9H 7D 9D AH TS +9S 2C 9H 4C 8D AS 7D 3D 6D 5S +6S 4C 7H 8C 3H 5H JC AH 9D 9C +2S 7C 5S JD 8C 3S 3D 4D 7D 6S +3C KC 4S 5D 7D 3D JD 7H 3H 4H +9C 9H 4H 4D TH 6D QD 8S 9S 7S +2H AC 8S 4S AD 8C 2C AH 7D TC +TS 9H 3C AD KS TC 3D 8C 8H JD +QC 8D 2C 3C 7D 7C JD 9H 9C 6C +AH 6S JS JH 5D AS QC 2C JD TD +9H KD 2H 5D 2D 3S 7D TC AH TS +TD 8H AS 5D AH QC AC 6S TC 5H +KS 4S 7H 4D 8D 9C TC 2H 6H 3H +3H KD 4S QD QH 3D 8H 8C TD 7S +8S JD TC AH JS QS 2D KH KS 4D +3C AD JC KD JS KH 4S TH 9H 2C +QC 5S JS 9S KS AS 7C QD 2S JD +KC 5S QS 3S 2D AC 5D 9H 8H KS +6H 9C TC AD 2C 6D 5S JD 6C 7C +QS KH TD QD 2C 3H 8S 2S QC AH +9D 9H JH TC QH 3C 2S JS 5C 7H +6C 3S 3D 2S 4S QD 2D TH 5D 2C +2D 6H 6D 2S JC QH AS 7H 4H KH +5H 6S KS AD TC TS 7C AC 4S 4H +AD 3C 4H QS 8C 9D KS 2H 2D 4D +4S 9D 6C 6D 9C AC 8D 3H 7H KD +JC AH 6C TS JD 6D AD 3S 5D QD +JC JH JD 3S 7S 8S JS QC 3H 4S +JD TH 5C 2C AD JS 7H 9S 2H 7S +8D 3S JH 4D QC AS JD 2C KC 6H +2C AC 5H KD 5S 7H QD JH AH 2D +JC QH 8D 8S TC 5H 5C AH 8C 6C +3H JS 8S QD JH 3C 4H 6D 5C 3S +6D 4S 4C AH 5H 5S 3H JD 7C 8D +8H AH 2H 3H JS 3C 7D QC 4H KD +6S 2H KD 5H 8H 2D 3C 8S 7S QD +2S 7S KC QC AH TC QS 6D 4C 8D +5S 9H 2C 3S QD 7S 6C 2H 7C 9D +3C 6C 5C 5S JD JC KS 3S 5D TS +7C KS 6S 5S 2S 2D TC 2H 5H QS +AS 7H 6S TS 5H 9S 9D 3C KD 2H +4S JS QS 3S 4H 7C 2S AC 6S 9D +8C JH 2H 5H 7C 5D QH QS KH QC +3S TD 3H 7C KC 8D 5H 8S KH 8C +4H KH JD TS 3C 7H AS QC JS 5S +AH 9D 2C 8D 4D 2D 6H 6C KC 6S +2S 6H 9D 3S 7H 4D KH 8H KD 3D +9C TC AC JH KH 4D JD 5H TD 3S +7S 4H 9D AS 4C 7D QS 9S 2S KH +3S 8D 8S KS 8C JC 5C KH 2H 5D +8S QH 2C 4D KC JS QC 9D AC 6H +8S 8C 7C JS JD 6S 4C 9C AC 4S +QH 5D 2C 7D JC 8S 2D JS JH 4C +JS 4C 7S TS JH KC KH 5H QD 4S +QD 8C 8D 2D 6S TD 9D AC QH 5S +QH QC JS 3D 3C 5C 4H KH 8S 7H +7C 2C 5S JC 8S 3H QC 5D 2H KC +5S 8D KD 6H 4H QD QH 6D AH 3D +7S KS 6C 2S 4D AC QS 5H TS JD +7C 2D TC 5D QS AC JS QC 6C KC +2C KS 4D 3H TS 8S AD 4H 7S 9S +QD 9H QH 5H 4H 4D KH 3S JC AD +4D AC KC 8D 6D 4C 2D KH 2C JD +2C 9H 2D AH 3H 6D 9C 7D TC KS +8C 3H KD 7C 5C 2S 4S 5H AS AH +TH JD 4H KD 3H TC 5C 3S AC KH +6D 7H AH 7S QC 6H 2D TD JD AS +JH 5D 7H TC 9S 7D JC AS 5S KH +2H 8C AD TH 6H QD KD 9H 6S 6C +QH KC 9D 4D 3S JS JH 4H 2C 9H +TC 7H KH 4H JC 7D 9S 3H QS 7S +AD 7D JH 6C 7H 4H 3S 3H 4D QH +JD 2H 5C AS 6C QC 4D 3C TC JH +AC JD 3H 6H 4C JC AD 7D 7H 9H +4H TC TS 2C 8C 6S KS 2H JD 9S +4C 3H QS QC 9S 9H 6D KC 9D 9C +5C AD 8C 2C QH TH QD JC 8D 8H +QC 2C 2S QD 9C 4D 3S 8D JH QS +9D 3S 2C 7S 7C JC TD 3C TC 9H +3C TS 8H 5C 4C 2C 6S 8D 7C 4H +KS 7H 2H TC 4H 2C 3S AS AH QS +8C 2D 2H 2C 4S 4C 6S 7D 5S 3S +TH QC 5D TD 3C QS KD KC KS AS +4D AH KD 9H KS 5C 4C 6H JC 7S +KC 4H 5C QS TC 2H JC 9S AH QH +4S 9H 3H 5H 3C QD 2H QC JH 8H +5D AS 7H 2C 3D JH 6H 4C 6S 7D +9C JD 9H AH JS 8S QH 3H KS 8H +3S AC QC TS 4D AD 3D AH 8S 9H +7H 3H QS 9C 9S 5H JH JS AH AC +8D 3C JD 2H AC 9C 7H 5S 4D 8H +7C JH 9H 6C JS 9S 7H 8C 9D 4H +2D AS 9S 6H 4D JS JH 9H AD QD +6H 7S JH KH AH 7H TD 5S 6S 2C +8H JH 6S 5H 5S 9D TC 4C QC 9S +7D 2C KD 3H 5H AS QD 7H JS 4D +TS QH 6C 8H TH 5H 3C 3H 9C 9D +AD KH JS 5D 3H AS AC 9S 5C KC +2C KH 8C JC QS 6D AH 2D KC TC +9D 3H 2S 7C 4D 6D KH KS 8D 7D +9H 2S TC JH AC QC 3H 5S 3S 8H +3S AS KD 8H 4C 3H 7C JH QH TS +7S 6D 7H 9D JH 4C 3D 3S 6C AS +4S 2H 2C 4C 8S 5H KC 8C QC QD +3H 3S 6C QS QC 2D 6S 5D 2C 9D +2H 8D JH 2S 3H 2D 6C 5C 7S AD +9H JS 5D QH 8S TS 2H 7S 6S AD +6D QC 9S 7H 5H 5C 7D KC JD 4H +QC 5S 9H 9C 4D 6S KS 2S 4C 7C +9H 7C 4H 8D 3S 6H 5C 8H JS 7S +2D 6H JS TD 4H 4D JC TH 5H KC +AC 7C 8D TH 3H 9S 2D 4C KC 4D +KD QS 9C 7S 3D KS AD TS 4C 4H +QH 9C 8H 2S 7D KS 7H 5D KD 4C +9C 2S 2H JC 6S 6C TC QC JH 5C +7S AC 8H KC 8S 6H QS JC 3D 6S +JS 2D JH 8C 4S 6H 8H 6D 5D AD +6H 7D 2S 4H 9H 7C AS AC 8H 5S +3C JS 4S 6D 5H 2S QH 6S 9C 2C +3D 5S 6S 9S 4C QS 8D QD 8S TC +9C 3D AH 9H 5S 2C 7D AD JC 3S +7H TC AS 3C 6S 6D 7S KH KC 9H +3S TC 8H 6S 5H JH 8C 7D AC 2S +QD 9D 9C 3S JC 8C KS 8H 5D 4D +JS AH JD 6D 9D 8C 9H 9S 8H 3H +2D 6S 4C 4D 8S AD 4S TC AH 9H +TS AC QC TH KC 6D 4H 7S 8C 2H +3C QD JS 9D 5S JC AH 2H TS 9H +3H 4D QH 5D 9C 5H 7D 4S JC 3S +8S TH 3H 7C 2H JD JS TS AC 8D +9C 2H TD KC JD 2S 8C 5S AD 2C +3D KD 7C 5H 4D QH QD TC 6H 7D +7H 2C KC 5S KD 6H AH QC 7S QH +6H 5C AC 5H 2C 9C 2D 7C TD 2S +4D 9D AH 3D 7C JD 4H 8C 4C KS +TH 3C JS QH 8H 4C AS 3D QS QC +4D 7S 5H JH 6D 7D 6H JS KH 3C +QD 8S 7D 2H 2C 7C JC 2S 5H 8C +QH 8S 9D TC 2H AD 7C 8D QD 6S +3S 7C AD 9H 2H 9S JD TS 4C 2D +3S AS 4H QC 2C 8H 8S 7S TD TC +JH TH TD 3S 4D 4H 5S 5D QS 2C +8C QD QH TC 6D 4S 9S 9D 4H QC +8C JS 9D 6H JD 3H AD 6S TD QC +KC 8S 3D 7C TD 7D 8D 9H 4S 3S +6C 4S 3D 9D KD TC KC KS AC 5S +7C 6S QH 3D JS KD 6H 6D 2D 8C +JD 2S 5S 4H 8S AC 2D 6S TS 5C +5H 8C 5S 3C 4S 3D 7C 8D AS 3H +AS TS 7C 3H AD 7D JC QS 6C 6H +3S 9S 4C AC QH 5H 5D 9H TS 4H +6C 5C 7H 7S TD AD JD 5S 2H 2S +7D 6C KC 3S JD 8D 8S TS QS KH +8S QS 8D 6C TH AC AH 2C 8H 9S +7H TD KH QH 8S 3D 4D AH JD AS +TS 3D 2H JC 2S JH KH 6C QC JS +KC TH 2D 6H 7S 2S TC 8C 9D QS +3C 9D 6S KH 8H 6D 5D TH 2C 2H +6H TC 7D AD 4D 8S TS 9H TD 7S +JS 6D JD JC 2H AC 6C 3D KH 8D +KH JD 9S 5D 4H 4C 3H 7S QS 5C +4H JD 5D 3S 3C 4D KH QH QS 7S +JD TS 8S QD AH 4C 6H 3S 5S 2C +QS 3D JD AS 8D TH 7C 6S QC KS +7S 2H 8C QC 7H AC 6D 2D TH KH +5S 6C 7H KH 7D AH 8C 5C 7S 3D +3C KD AD 7D 6C 4D KS 2D 8C 4S +7C 8D 5S 2D 2S AH AD 2C 9D TD +3C AD 4S KS JH 7C 5C 8C 9C TH +AS TD 4D 7C JD 8C QH 3C 5H 9S +3H 9C 8S 9S 6S QD KS AH 5H JH +QC 9C 5S 4H 2H TD 7D AS 8C 9D +8C 2C 9D KD TC 7S 3D KH QC 3C +4D AS 4C QS 5S 9D 6S JD QH KS +6D AH 6C 4C 5H TS 9H 7D 3D 5S +QS JD 7C 8D 9C AC 3S 6S 6C KH +8H JH 5D 9S 6D AS 6S 3S QC 7H +QD AD 5C JH 2H AH 4H AS KC 2C +JH 9C 2C 6H 2D JS 5D 9H KC 6D +7D 9D KD TH 3H AS 6S QC 6H AD +JD 4H 7D KC 3H JS 3C TH 3D QS +4C 3H 8C QD 5H 6H AS 8H AD JD +TH 8S KD 5D QC 7D JS 5S 5H TS +7D KC 9D QS 3H 3C 6D TS 7S AH +7C 4H 7H AH QC AC 4D 5D 6D TH +3C 4H 2S KD 8H 5H JH TC 6C JD +4S 8C 3D 4H JS TD 7S JH QS KD +7C QC KD 4D 7H 6S AD TD TC KH +5H 9H KC 3H 4D 3D AD 6S QD 6H +TH 7C 6H TS QH 5S 2C KC TD 6S +7C 4D 5S JD JH 7D AC KD KH 4H +7D 6C 8D 8H 5C JH 8S QD TH JD +8D 7D 6C 7C 9D KD AS 5C QH JH +9S 2C 8C 3C 4C KS JH 2D 8D 4H +7S 6C JH KH 8H 3H 9D 2D AH 6D +4D TC 9C 8D 7H TD KS TH KD 3C +JD 9H 8D QD AS KD 9D 2C 2S 9C +8D 3H 5C 7H KS 5H QH 2D 8C 9H +2D TH 6D QD 6C KC 3H 3S AD 4C +4H 3H JS 9D 3C TC 5H QH QC JC +3D 5C 6H 3S 3C JC 5S 7S 2S QH +AC 5C 8C 4D 5D 4H 2S QD 3C 3H +2C TD AH 9C KD JS 6S QD 4C QC +QS 8C 3S 4H TC JS 3H 7C JC AD +5H 4D 9C KS JC TD 9S TS 8S 9H +QD TS 7D AS AC 2C TD 6H 8H AH +6S AD 8C 4S 9H 8D 9D KH 8S 3C +QS 4D 2D 7S KH JS JC AD 4C 3C +QS 9S 7H KC TD TH 5H JS AC JH +6D AC 2S QS 7C AS KS 6S KH 5S +6D 8H KH 3C QS 2H 5C 9C 9D 6C +JS 2C 4C 6H 7D JC AC QD TD 3H +4H QC 8H JD 4C KD KS 5C KC 7S +6D 2D 3H 2S QD 5S 7H AS TH 6S +AS 6D 8D 2C 8S TD 8H QD JC AH +9C 9H 2D TD QH 2H 5C TC 3D 8H +KC 8S 3D KH 2S TS TC 6S 4D JH +9H 9D QS AC KC 6H 5D 4D 8D AH +9S 5C QS 4H 7C 7D 2H 8S AD JS +3D AC 9S AS 2C 2D 2H 3H JC KH +7H QH KH JD TC KS 5S 8H 4C 8D +2H 7H 3S 2S 5H QS 3C AS 9H KD +AD 3D JD 6H 5S 9C 6D AC 9S 3S +3D 5D 9C 2D AC 4S 2S AD 6C 6S +QC 4C 2D 3H 6S KC QH QD 2H JH +QC 3C 8S 4D 9S 2H 5C 8H QS QD +6D KD 6S 7H 3S KH 2H 5C JC 6C +3S 9S TC 6S 8H 2D AD 7S 8S TS +3C 6H 9C 3H 5C JC 8H QH TD QD +3C JS QD 5D TD 2C KH 9H TH AS +9S TC JD 3D 5C 5H AD QH 9H KC +TC 7H 4H 8H 3H TD 6S AC 7C 2S +QS 9D 5D 3C JC KS 4D 6C JH 2S +9S 6S 3C 7H TS 4C KD 6D 3D 9C +2D 9H AH AC 7H 2S JH 3S 7C QC +QD 9H 3C 2H AC AS 8S KD 8C KH +2D 7S TD TH 6D JD 8D 4D 2H 5S +8S QH KD JD QS JH 4D KC 5H 3S +3C KH QC 6D 8H 3S AH 7D TD 2D +5S 9H QH 4S 6S 6C 6D TS TH 7S +6C 4C 6D QS JS 9C TS 3H 8D 8S +JS 5C 7S AS 2C AH 2H AD 5S TC +KD 6C 9C 9D TS 2S JC 4H 2C QD +QS 9H TC 3H KC KS 4H 3C AD TH +KH 9C 2H KD 9D TC 7S KC JH 2D +7C 3S KC AS 8C 5D 9C 9S QH 3H +2D 8C TD 4C 2H QC 5D TC 2C 7D +KS 4D 6C QH TD KH 5D 7C AD 8D +2S 9S 8S 4C 8C 3D 6H QD 7C 7H +6C 8S QH 5H TS 5C 3C 4S 2S 2H +8S 6S 2H JC 3S 3H 9D 8C 2S 7H +QC 2C 8H 9C AC JD 4C 4H 6S 3S +3H 3S 7D 4C 9S 5H 8H JC 3D TC +QH 2S 2D 9S KD QD 9H AD 6D 9C +8D 2D KS 9S JC 4C JD KC 4S TH +KH TS 6D 4D 5C KD 5H AS 9H AD +QD JS 7C 6D 5D 5C TH 5H QH QS +9D QH KH 5H JH 4C 4D TC TH 6C +KH AS TS 9D KD 9C 7S 4D 8H 5S +KH AS 2S 7D 9D 4C TS TH AH 7C +KS 4D AC 8S 9S 8D TH QH 9D 5C +5D 5C 8C QS TC 4C 3D 3S 2C 8D +9D KS 2D 3C KC 4S 8C KH 6C JC +8H AH 6H 7D 7S QD 3C 4C 6C KC +3H 2C QH 8H AS 7D 4C 8C 4H KC +QD 5S 4H 2C TD AH JH QH 4C 8S +3H QS 5S JS 8H 2S 9H 9C 3S 2C +6H TS 7S JC QD AC TD KC 5S 3H +QH AS QS 7D JC KC 2C 4C 5C 5S +QH 3D AS JS 4H 8D 7H JC 2S 9C +5D 4D 2S 4S 9D 9C 2D QS 8H 7H +6D 7H 3H JS TS AC 2D JH 7C 8S +JH 5H KC 3C TC 5S 9H 4C 8H 9D +8S KC 5H 9H AD KS 9D KH 8D AH +JC 2H 9H KS 6S 3H QC 5H AH 9C +5C KH 5S AD 6C JC 9H QC 9C TD +5S 5D JC QH 2D KS 8H QS 2H TS +JH 5H 5S AH 7H 3C 8S AS TD KH +6H 3D JD 2C 4C KC 7S AH 6C JH +4C KS 9D AD 7S KC 7D 8H 3S 9C +7H 5C 5H 3C 8H QC 3D KH 6D JC +2D 4H 5D 7D QC AD AH 9H QH 8H +KD 8C JS 9D 3S 3C 2H 5D 6D 2S +8S 6S TS 3C 6H 8D 5S 3H TD 6C +KS 3D JH 9C 7C 9S QS 5S 4H 6H +7S 6S TH 4S KC KD 3S JC JH KS +7C 3C 2S 6D QH 2C 7S 5H 8H AH +KC 8D QD 6D KH 5C 7H 9D 3D 9C +6H 2D 8S JS 9S 2S 6D KC 7C TC +KD 9C JH 7H KC 8S 2S 7S 3D 6H +4H 9H 2D 4C 8H 7H 5S 8S 2H 8D +AD 7C 3C 7S 5S 4D 9H 3D JC KH +5D AS 7D 6D 9C JC 4C QH QS KH +KD JD 7D 3D QS QC 8S 6D JS QD +6S 8C 5S QH TH 9H AS AC 2C JD +QC KS QH 7S 3C 4C 5C KC 5D AH +6C 4H 9D AH 2C 3H KD 3D TS 5C +TD 8S QS AS JS 3H KD AC 4H KS +7D 5D TS 9H 4H 4C 9C 2H 8C QC +2C 7D 9H 4D KS 4C QH AD KD JS +QD AD AH KH 9D JS 9H JC KD JD +8S 3C 4S TS 7S 4D 5C 2S 6H 7C +JS 7S 5C KD 6D QH 8S TD 2H 6S +QH 6C TC 6H TD 4C 9D 2H QC 8H +3D TS 4D 2H 6H 6S 2C 7H 8S 6C +9H 9D JD JH 3S AH 2C 6S 3H 8S +2C QS 8C 5S 3H 2S 7D 3C AD 4S +5C QC QH AS TS 4S 6S 4C 5H JS +JH 5C TD 4C 6H JS KD KH QS 4H +TC KH JC 4D 9H 9D 8D KC 3C 8H +2H TC 8S AD 9S 4H TS 7H 2C 5C +4H 2S 6C 5S KS AH 9C 7C 8H KD +TS QH TD QS 3C JH AH 2C 8D 7D +5D KC 3H 5S AC 4S 7H QS 4C 2H +3D 7D QC KH JH 6D 6C TD TH KD +5S 8D TH 6C 9D 7D KH 8C 9S 6D +JD QS 7S QC 2S QH JC 4S KS 8D +7S 5S 9S JD KD 9C JC AD 2D 7C +4S 5H AH JH 9C 5D TD 7C 2D 6S +KC 6C 7H 6S 9C QD 5S 4H KS TD +6S 8D KS 2D TH TD 9H JD TS 3S +KH JS 4H 5D 9D TC TD QC JD TS +QS QD AC AD 4C 6S 2D AS 3H KC +4C 7C 3C TD QS 9C KC AS 8D AD +KC 7H QC 6D 8H 6S 5S AH 7S 8C +3S AD 9H JC 6D JD AS KH 6S JH +AD 3D TS KS 7H JH 2D JS QD AC +9C JD 7C 6D TC 6H 6C JC 3D 3S +QC KC 3S JC KD 2C 8D AH QS TS +AS KD 3D JD 8H 7C 8C 5C QD 6C diff --git a/python/1.py b/python/1.py new file mode 100644 index 0000000..77820fd --- /dev/null +++ b/python/1.py @@ -0,0 +1,25 @@ +# coding=utf-8 +''' If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23. +Find the sum of all the multiples of 3 or 5 below 1000. ''' + + +def calc(n, a): + tmp = n / a + return (tmp + 1) * tmp * a / 2 + +x = 3 +y = 5 +maxx = 1000 + +out = calc(maxx, x) + calc(maxx, y) - calc(maxx, x * y) + +print out + + +''' +total = 0 +for i in range(1000): + if i % 3 == 0 or i % 5 == 0: # 条件为能被 3 或 5 整除 + total += i # 足条件的数字加入到 total 中 +print total +''' diff --git a/python/10.py b/python/10.py new file mode 100644 index 0000000..4f05955 --- /dev/null +++ b/python/10.py @@ -0,0 +1,42 @@ +''' The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. +Find the sum of all the primes below two million. ''' + +def makeP(x): + P = [3] + p = [3] + n = 5 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while p[-1] ** 2 < n: + p.append(P[len(p)]) + return P + + +maxx = 2000000 +maxxx = int(maxx ** 0.5) + +prime = makeP(maxxx) + +total = 2 + 3 + 5 + 7 + +for i in xrange(len(prime) - 1): + for x in xrange(prime[i] ** 2 + 2, prime[i + 1] ** 2, 2): + for p in prime[:i + 1]: + if x % p == 0: + break + else: + total += x + +for x in xrange(prime[-1] ** 2 + 2, maxx, 2): + for p in prime: + if x % p == 0: + break + else: + total += x + +print total diff --git a/python/100.py b/python/100.py new file mode 100644 index 0000000..ba33ccd --- /dev/null +++ b/python/100.py @@ -0,0 +1,6 @@ +a, b = 1, 1 +n = (a + 1) // 2 +while n < 10 ** 12: + a, b = 3 * a + 4 * b, 2 * a + 3 * b + n = (a + 1) // 2 +print (b + 1) // 2 diff --git a/python/101.py b/python/101.py new file mode 100644 index 0000000..1756ad9 --- /dev/null +++ b/python/101.py @@ -0,0 +1,30 @@ +def poly(x, coef): + out = 0 + for i in coef: + out = out * x + i + return out + + +un = (1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1) + +a = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] +for i in xrange(len(a)): + a[i] = poly(a[i], un) + +total = 0 +for length in xrange(2, len(a) + 1): + y = a[:length] + n = len(y) + L = 0 + for k in xrange(n): + l = 1 + for xi in xrange(n): + if xi != k: + l *= (n - xi) + for xi in xrange(n): + if xi != k: + l /= (k - xi) + L += (l * y[k]) + total += L + +print total + 1 diff --git a/python/102.py b/python/102.py new file mode 100644 index 0000000..6c3c5bb --- /dev/null +++ b/python/102.py @@ -0,0 +1,26 @@ +def pl(p1, p2): + return p1[0] * p2[1] - p1[1] * p2[0] + +def isit(lis): + if pl(lis[1], lis[0]) * pl(lis[2], lis[0]) > 0: + return False + if pl(lis[0], lis[1]) * pl(lis[2], lis[1]) > 0: + return False + if pl(lis[0], lis[2]) * pl(lis[1], lis[2]) > 0: + return False + return True + +def breaknum(lis): + return [[int(lis[0]), int(lis[1])], [int(lis[2]), int(lis[3])], [int(lis[4]), int(lis[5])]] + + +ff = open('../triangles.txt', 'r') +points = ff.readlines() +ff.close() + + +count = 0 +for i in points: + if isit(breaknum(i.split(','))): + count += 1 +print count diff --git a/python/104.py b/python/104.py new file mode 100644 index 0000000..b61cd65 --- /dev/null +++ b/python/104.py @@ -0,0 +1,48 @@ +unit = 1000000000 +bigunit = 1.0e+100 + +def musq(a, b): + bi = [] + while b != 0: + bi.append(b % 2) + b /= 2 + bi.reverse() + out = 1 + for p in bi: + out = out * out + if out > bigunit: + out /= bigunit + if p == 1: + out *= a + if out > bigunit: + out /= bigunit + return out + + +def fib(x): + sq5 = 5 ** 0.5 + oa = musq((1 + sq5) / 2, n) + return oa / sq5 + +n = 0 +a, b = 0, 1 + +while 1: + a, b = b, a + b + a %= unit + b %= unit + n += 1 + bit = set('#'.join(str(a)).split('#')) + if len(bit) == 9 and (not '0' in bit): + try: + pre = str(fib(n)) + if pre == 'inf': + break + except OverflowError: + print n + break + pre = pre[0] + pre[2:] + bitend = set('#'.join(pre[:9]).split('#')) + if len(bitend) == 9 and (not '0' in bitend): + print n, a, pre[:9] + break \ No newline at end of file diff --git a/python/107.py b/python/107.py new file mode 100644 index 0000000..1b3d110 --- /dev/null +++ b/python/107.py @@ -0,0 +1,45 @@ +ff = open('../network.txt', 'r') +nnn = ff.readlines() +ff.close() + +inf = 10 ** 10 + +def stolis(s): + mid = s.split(',') + out = [] + for i in mid: + if i.isdigit(): + out.append(int(i)) + else: + out.append(inf) + return out + +hole = 0 +net = [] +for i in nnn: + tmp = stolis(i.strip()) + for j in tmp: + if j < inf: + hole += j + net.append(tmp) + +#print net + +have = [0] +nothave = range(1, len(net)) + +total = 0 +while len(nothave) > 0: + choose = [inf, 0] + node = 0 + it = 0 + for node in nothave: + for it in have: + if net[node][it] < choose[0]: + choose = [net[node][it], node] + if choose[0] < inf: + have.append(choose[1]) + nothave.remove(choose[1]) + total += choose[0] + +print hole / 2 - total diff --git a/python/108.py b/python/108.py new file mode 100644 index 0000000..1e743da --- /dev/null +++ b/python/108.py @@ -0,0 +1,49 @@ +def mkp(n): + P = [2] + p = [2] + x = 3 + while len(P) < n: + for i in p: + if x % i == 0: + break + else: + P.append(x) + while x > p[-1]**2: + p.append(P[len(p)]) + x += 2 + return P + +primes = mkp(1000) + +def factor(x): + out = [] + for p in primes: + if p * p > x: + break + if x % p == 0: + count = 0 + while x % p == 0: + x /= p + count += 1 + out.append(count) + if x > 1: + out.append(1) + return out + + +def sum(x): + pre = factor(x) + out = 1 + for i in pre: + out *= i * 2 + 1 + return (out + 1) / 2 + + +def maxx(x): + n = 4 + while sum(n) < x: + n += 1 + return n + + +print maxx(1000) diff --git a/python/109.py b/python/109.py new file mode 100644 index 0000000..53c87e4 --- /dev/null +++ b/python/109.py @@ -0,0 +1,30 @@ +from sys import argv + + +limit = int(argv[1]) + +kind = range(1, 21) +kind.extend(range(2, 41, 2)) +kind.extend(range(3, 61, 3)) +kind.extend([25, 50]) + +doub = range(2, 41, 2) +doub.extend([50]) + +count = 0 + +for i in doub: + if i <= limit: + count += 1 + for j in kind: + if i + j <= limit: + count += 1 + +tmp = 0 +for i in doub: + for j in xrange(len(kind)): + for k in xrange(j, len(kind)): + if i + kind[j] + kind[k] <= limit: + tmp += 1 + +print count + tmp diff --git a/python/11.py b/python/11.py new file mode 100644 index 0000000..9dda197 --- /dev/null +++ b/python/11.py @@ -0,0 +1,45 @@ +a = [[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8], +[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0], +[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65], +[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91], +[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80], +[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50], +[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70], +[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21], +[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72], +[21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95], +[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92], +[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57], +[86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58], +[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40], +[04, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66], +[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69], +[4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36], +[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16], +[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54], +[1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48]] + + +def summ(x, y, flag): + vector = ((1, 0), (0, 1), (1, 1), (1, -1)) + total = 1 + for i in xrange(4): + total *= a[x][y] + x += vector[flag][0] + y += vector[flag][1] + return total + +maxx = [0,] + +for i in xrange(20 - 4): + for j in xrange(20 - 4): + for k in xrange(3): + tmp = summ(i, j, k) + if tmp > maxx[0]: + maxx = [tmp, i, j, k] + for j in xrange(3, 20): + tmp = summ(i, j, 3) + if tmp > maxx[0]: + maxx = [tmp, i, j, 3] + +print maxx diff --git a/python/110.py b/python/110.py new file mode 100644 index 0000000..86651d0 --- /dev/null +++ b/python/110.py @@ -0,0 +1,49 @@ +def mkp(n): + P = [2] + p = [2] + x = 3 + while len(P) < n: + for i in p: + if x % i == 0: + break + else: + P.append(x) + while x > p[-1]**2: + p.append(P[len(p)]) + x += 2 + return P + +primes = mkp(1000) + +def factor(x): + out = [] + for p in primes: + if p * p > x: + break + if x % p == 0: + count = 0 + while x % p == 0: + x /= p + count += 1 + out.append(count) + if x > 1: + out.append(1) + return out + + +def sum(x): + pre = factor(x) + out = 1 + for i in pre: + out *= i * 2 + 1 + return (out + 1) / 2 + + +def maxx(x): + n = 4 + while sum(n) < x: + n += 1 + return n + + +print maxx(100000) diff --git a/python/111.py b/python/111.py new file mode 100644 index 0000000..bbc0412 --- /dev/null +++ b/python/111.py @@ -0,0 +1,68 @@ +maxx = 10 + + +def mkp(x): + P = [2] + p = [2] + n = 3 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +prime = mkp(100000) + +def isp(x, lis = prime): + for i in lis: + if i ** 2 > x: + break + if x % i == 0: + return False + return True + +maxx = 10 + +total = 0 + +for i in xrange(1, 10): + for j in xrange(1, 10): + num = ['0'] * maxx + num[0] = str(i) + num[-1] = str(j) + tmp = int(''.join(num)) + if isp(tmp) and (tmp > 10 ** (maxx - 1)): + #print tmp + total += tmp + +for same in xrange(1, 10): + for new in xrange(10): + for local in xrange(maxx): + num = [str(same)] * maxx + num[local] = str(new) + tmp = int(''.join(num)) + if isp(tmp) and (tmp > 10 ** (maxx - 1)): + #print tmp + total += tmp + +sp = set([]) +no = set(range(10)) +for special in [2, 8]: + for new1 in no - set([special]): + for new2 in no - set([special]): + for local1 in xrange(maxx): + for local2 in xrange(maxx): + num = [str(special)] * maxx + num[local1] = str(new1) + num[local2] = str(new2) + tmp = int(''.join(num)) + if isp(tmp) and (tmp > 10 ** (maxx - 1)): + sp.add(tmp) + #print tmp + +print total + sum(list(sp)) diff --git a/python/112.py b/python/112.py new file mode 100644 index 0000000..f19af1d --- /dev/null +++ b/python/112.py @@ -0,0 +1,27 @@ +def ala(x): + out = [] + while x != 0: + out.append(x % 10) + x /= 10 + b = sorted(out) + if out == b: + return False + b.reverse() + if out == b: + return False + return True + + +nis = 0 +nnot = 100 +n = 100 + + +while nis != nnot * 99: + n += 1 + if ala(n): + nis += 1 + else: + nnot += 1 + +print n diff --git a/python/113.py b/python/113.py new file mode 100644 index 0000000..700404c --- /dev/null +++ b/python/113.py @@ -0,0 +1,24 @@ +n = 2 +maxx = 100 +path1 = range(1,10) +path_1 = range(1,11) +total = sum(path1) + sum(path_1) - 1 + +while n < maxx: + new1 = [] + new_1 = [] + tmp1 = 0 + tmp_1 = 0 + for i in xrange(9): + tmp1 += path1[i] + new1.append(tmp1) + path1 = new1 + for i in xrange(10): + tmp_1 += path_1[i] + new_1.append(tmp_1) + path_1 = new_1 +# print path1, path_1 + total += sum(path1) + sum(path_1) - 9 - 1 + n += 1 + +print total diff --git a/python/119.py b/python/119.py new file mode 100644 index 0000000..f44c12e --- /dev/null +++ b/python/119.py @@ -0,0 +1,29 @@ +def ala(x): + tmp = 0 + while x != 0: + tmp += x % 10 + x /= 10 + return tmp + +def ist(x, i): + if i == 1: + return False + if x < 10: + return False + while x != 1: + if x % i != 0: + return False + x /= i + return True + +n = 2 +count = [] +while n < 100: + for i in xrange(100): + tmp = n ** i + if ist(tmp, ala(tmp)): + if count.count(tmp) == 0: + count.append(tmp) + count.sort() + n += 1 +print count[29] diff --git a/python/12.py b/python/12.py new file mode 100644 index 0000000..7c436f1 --- /dev/null +++ b/python/12.py @@ -0,0 +1,30 @@ +''' The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be: +1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... +Let us list the factors of the first seven triangle numbers: + 1: 1 + 3: 1,3 + 6: 1,2,3,6 +10: 1,2,5,10 +15: 1,3,5,15 +21: 1,3,7,21 +28: 1,2,4,7,14,28 +We can see that 28 is the first triangle number to have over five divisors. +What is the value of the first triangle number to have over five hundred divisors? ''' + +def play(stop): + num = 3 + while 1: + num += 1 + n = num * (num + 1) / 2 + sqr = int(n ** 0.5) + count = 0 + if sqr * sqr == n: count = 1 + for tmp in xrange(2, sqr): + if n % tmp == 0: + count += 1 + if count >= stop // 2: + print n + return 1 + +if __name__ == '__main__': + play(500) diff --git a/python/13.py b/python/13.py new file mode 100644 index 0000000..0be6d88 --- /dev/null +++ b/python/13.py @@ -0,0 +1,108 @@ +num = [ +37107287533902102798797998220837590246510135740250, +46376937677490009712648124896970078050417018260538, +74324986199524741059474233309513058123726617309629, +91942213363574161572522430563301811072406154908250, +23067588207539346171171980310421047513778063246676, +89261670696623633820136378418383684178734361726757, +28112879812849979408065481931592621691275889832738, +44274228917432520321923589422876796487670272189318, +47451445736001306439091167216856844588711603153276, +70386486105843025439939619828917593665686757934951, +62176457141856560629502157223196586755079324193331, +64906352462741904929101432445813822663347944758178, +92575867718337217661963751590579239728245598838407, +58203565325359399008402633568948830189458628227828, +80181199384826282014278194139940567587151170094390, +35398664372827112653829987240784473053190104293586, +86515506006295864861532075273371959191420517255829, +71693888707715466499115593487603532921714970056938, +54370070576826684624621495650076471787294438377604, +53282654108756828443191190634694037855217779295145, +36123272525000296071075082563815656710885258350721, +45876576172410976447339110607218265236877223636045, +17423706905851860660448207621209813287860733969412, +81142660418086830619328460811191061556940512689692, +51934325451728388641918047049293215058642563049483, +62467221648435076201727918039944693004732956340691, +15732444386908125794514089057706229429197107928209, +55037687525678773091862540744969844508330393682126, +18336384825330154686196124348767681297534375946515, +80386287592878490201521685554828717201219257766954, +78182833757993103614740356856449095527097864797581, +16726320100436897842553539920931837441497806860984, +48403098129077791799088218795327364475675590848030, +87086987551392711854517078544161852424320693150332, +59959406895756536782107074926966537676326235447210, +69793950679652694742597709739166693763042633987085, +41052684708299085211399427365734116182760315001271, +65378607361501080857009149939512557028198746004375, +35829035317434717326932123578154982629742552737307, +94953759765105305946966067683156574377167401875275, +88902802571733229619176668713819931811048770190271, +25267680276078003013678680992525463401061632866526, +36270218540497705585629946580636237993140746255962, +24074486908231174977792365466257246923322810917141, +91430288197103288597806669760892938638285025333403, +34413065578016127815921815005561868836468420090470, +23053081172816430487623791969842487255036638784583, +11487696932154902810424020138335124462181441773470, +63783299490636259666498587618221225225512486764533, +67720186971698544312419572409913959008952310058822, +95548255300263520781532296796249481641953868218774, +76085327132285723110424803456124867697064507995236, +37774242535411291684276865538926205024910326572967, +23701913275725675285653248258265463092207058596522, +29798860272258331913126375147341994889534765745501, +18495701454879288984856827726077713721403798879715, +38298203783031473527721580348144513491373226651381, +34829543829199918180278916522431027392251122869539, +40957953066405232632538044100059654939159879593635, +29746152185502371307642255121183693803580388584903, +41698116222072977186158236678424689157993532961922, +62467957194401269043877107275048102390895523597457, +23189706772547915061505504953922979530901129967519, +86188088225875314529584099251203829009407770775672, +11306739708304724483816533873502340845647058077308, +82959174767140363198008187129011875491310547126581, +97623331044818386269515456334926366572897563400500, +42846280183517070527831839425882145521227251250327, +55121603546981200581762165212827652751691296897789, +32238195734329339946437501907836945765883352399886, +75506164965184775180738168837861091527357929701337, +62177842752192623401942399639168044983993173312731, +32924185707147349566916674687634660915035914677504, +99518671430235219628894890102423325116913619626622, +73267460800591547471830798392868535206946944540724, +76841822524674417161514036427982273348055556214818, +97142617910342598647204516893989422179826088076852, +87783646182799346313767754307809363333018982642090, +10848802521674670883215120185883543223812876952786, +71329612474782464538636993009049310363619763878039, +62184073572399794223406235393808339651327408011116, +66627891981488087797941876876144230030984490851411, +60661826293682836764744779239180335110989069790714, +85786944089552990653640447425576083659976645795096, +66024396409905389607120198219976047599490197230297, +64913982680032973156037120041377903785566085089252, +16730939319872750275468906903707539413042652315011, +94809377245048795150954100921645863754710598436791, +78639167021187492431995700641917969777599028300699, +15368713711936614952811305876380278410754449733078, +40789923115535562561142322423255033685442488917353, +44889911501440648020369068063960672322193204149535, +41503128880339536053299340368006977710650566631954, +81234880673210146739058568557934581403627822703280, +82616570773948327592232845941706525094512325230608, +22918802058777319719839450180888072429661980811197, +77158542502016545090413245809786882778948721859617, +72107838435069186155435662884062257473692284509516, +20849603980134001723930671666823555245252804609722, +53503534226472524250874054075591789781264330331690,] + +total = 0 +for i in num: + total += i +#print total + +print str(total)[:10] diff --git a/python/130.py b/python/130.py new file mode 100644 index 0000000..90168da --- /dev/null +++ b/python/130.py @@ -0,0 +1,32 @@ +def A(x): + if x % 2 == 0 or x % 5 == 0: + return -1 + n = 0 + num = 0 + while 1: + n = (n * 10 + 1) % x + num += 1 + if n == 0: + return num + + +P = [2] +p = [2] +n = 3 +out = [] +while len(out) < 25: + for i in p: + if n % i == 0: + tmp = A(n) + if tmp > 0: + if (n - 1) % A(n) == 0: + out.append(n) + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + +print sum(out) + diff --git a/python/132.py b/python/132.py new file mode 100644 index 0000000..3c30ab6 --- /dev/null +++ b/python/132.py @@ -0,0 +1,32 @@ +def A(x): + if x % 2 == 0 or x % 5 == 0: + return -1 + n = 0 + num = 0 + while 1: + n = (n * 10 + 1) % x + num += 1 + if n == 0: + return num + +maxx = 10 ** 9 + +P = [2] +p = [2] +n = 3 +out = [] +while len(out) < 40: + for i in p: + if n % i == 0: + break + else: + P.append(n) + tmp = A(n) + if tmp > 0: + if maxx % tmp == 0: + out.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + +print sum(out), out diff --git a/python/134.py b/python/134.py new file mode 100644 index 0000000..466af0c --- /dev/null +++ b/python/134.py @@ -0,0 +1,41 @@ +def mkp(x): + P = [2] + p = [2] + n = 3 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +def re(x, p): + za = [0, 1, 1] + zb = [1, 1, 0] + a = p + b = x + n = 3 + while b != 0: + n += 1 + q = a / b + za[n % 3] = za[(n - 2) % 3] - q * za[(n - 1) % 3] + zb[n % 3] = zb[(n - 2) % 3] - q * zb[(n - 1) % 3] + a, b = b, a % b + return (zb[(n - 1) % 3] + p) % p + + +def S(p1, p2): + tmp = 10 ** (len(str(p1))) + return (p2 - p1) * re(tmp, p2) % p2 + +p = mkp(1000004) +print p[-1] + +total = 0 +for i in xrange(3, len(p)): + total += int(str(S(p[i - 1], p[i])) + str(p[i - 1])) +print total diff --git a/python/138.py b/python/138.py new file mode 100644 index 0000000..c658905 --- /dev/null +++ b/python/138.py @@ -0,0 +1,25 @@ +k = 2 + 5 ** 0.5 + +out = [] +maxx = 12 +m = 4 +n = 1 + +def test(x, y): + b2 = 4 * x * y + h = x ** 2 - y ** 2 + if abs(h - b2) == 1: + #print b2, h, x, y + out.append(x ** 2 + y ** 2) + return True + return False + +while len(out) < maxx: + m = int(k * n) - 1 + for i in [0,1,2]: + if test(m + i, n): + #print out[-1] + n = m + n += 1 + +print sum(out) diff --git a/python/14.py b/python/14.py new file mode 100644 index 0000000..612f86e --- /dev/null +++ b/python/14.py @@ -0,0 +1,49 @@ +def sq(x): + out = 0 + while x != 1: + out += 1 + if x % 2 == 1: + x = x * 3 + 1 + else: + x /= 2 + return out + +maxx = [0, 0] +limit = 1000000 + +for i in xrange(1, limit + 1): + if i % 100000 == 0: + print i + tmp = sq(i) + if tmp > maxx[1]: + maxx[1] = tmp + maxx[0] = i + +print maxx + +''' +limit = 1000000 +num = {1:1} +maxx = [0, 0] +tmp = [] +for i in xrange(2, limit + 1): + x = i + while 1: + if num.has_key(x): + tmp.reverse() + bak = x + while len(tmp) > 0: + num.update({tmp[0]: num.get(bak) + 1}) + bak = tmp[0] + tmp.pop(0) + break + else: + tmp.append(x) + if x % 2 == 0: + x /= 2 + else: + x = 3 * x + 1 + if num.get(i) > maxx[1]: + maxx = [i, num.get(i)] +print maxx +''' diff --git a/python/15.py b/python/15.py new file mode 100644 index 0000000..766817d --- /dev/null +++ b/python/15.py @@ -0,0 +1,9 @@ +''' Starting in the top left corner of a 2*2 grid, there are 6 routes (without backtracking) to the bottom right corner. +How many routes are there through a 20*20 grid? ''' + +total = 1 +for i in xrange(40, 20, -1): + total *= i +for i in xrange(1, 21): + total /= i +print total diff --git a/python/16.py b/python/16.py new file mode 100644 index 0000000..920618b --- /dev/null +++ b/python/16.py @@ -0,0 +1,7 @@ +''' What is the sum of the digits of the number 2^1000 ? ''' + +stri = str(2 ** 1000) +total = 0 +for i in xrange(len(stri)): + total += ord(stri[i]) - ord('0') +print total diff --git a/python/162.py b/python/162.py new file mode 100644 index 0000000..c2bfbba --- /dev/null +++ b/python/162.py @@ -0,0 +1,25 @@ +def frag(x): + out = [] + for i in xrange(1, x - 1): + for j in xrange(1, x - i): + out.append((i, j, x - i - j)) + return out + +def C(n, m): + total = 1 + for i in xrange(n, n - m, -1): + total *= i + for i in xrange(m, 1, -1): + total /= i + return total + +total = 0 + +for length in xrange(3, 17): + for same in xrange(3, length + 1): + for (x,y,z) in frag(same): + total += C(length - 1, x) * C(length - x, y) * C(length + - x - y, z) * 13 ** (length - same) +print '%X' % total + + diff --git a/python/17.py b/python/17.py new file mode 100644 index 0000000..e50a70e --- /dev/null +++ b/python/17.py @@ -0,0 +1,66 @@ +dic = { +0:'', +1:'one', +2:'two', +3:'three', +4:'four', +5:'five', +6:'six', +7:'seven', +8:'eight', +9:'nine', +10:'ten', +11:'eleven', +12:'twelve', +13:'thirteen', +14:'fourteen', +15:'fifteen', +16:'sixteen', +17:'seventeen', +18:'eighteen', +19:'nineteen', +20:'twenty', +30:'thirty', +40:'forty', +50:'fifty', +60:'sixty', +70:'seventy', +80:'eighty', +90:'nithty', +100:'hundred', +1000:'thousand' +} + +def analyse(x, p = 0): + if p: print x, + if x == 1000: + if p: print dic.get(x) + return len(dic.get(x)) + out = 0 + tmp = x / 100 + if tmp: + out += len(dic.get(tmp)) + if p: print dic.get(tmp), + out += len(dic.get(100)) + if p: print dic.get(100), + if x % 100 == 0: + if p: print + return out + out += 3 + if p: print 'and', + tmp = x % 100 + if tmp < 20: + out += len(dic.get(tmp)) + if p: print dic.get(tmp) + return out + out += len(dic.get(tmp / 10 * 10)) + if p: print dic.get(tmp / 10 * 10), + out += len(dic.get(tmp % 10)) + if p: print dic.get(tmp % 10) + return out + + +total = 0 +for i in xrange(1, 1001): + total += analyse(i) +print total diff --git a/python/18.py b/python/18.py new file mode 100644 index 0000000..ad25676 --- /dev/null +++ b/python/18.py @@ -0,0 +1,50 @@ +a = [[75], +[95, 64], +[17, 47, 82], +[18, 35, 87, 10], +[20, 4, 82, 47, 65], +[19, 1, 23, 75, 3, 34], +[88, 2, 77, 73, 7, 63, 67], +[99, 65, 4, 28, 6, 16, 70, 92], +[41, 41, 26, 56, 83, 40, 80, 70, 33], +[41, 48, 72, 33, 47, 32, 37, 16, 94, 29], +[53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14], +[70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57], +[91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48], +[63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31], +[4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23]] + + +path = a[-1][:] +for i in xrange(len(a) - 2, 0, -1): + newpath = [] + for j in xrange(i + 1): + better = max(path[j], path[j + 1]) + newpath.append(a[i][j] + better) + path = newpath +print max(path) + a[0][0] + + +''' +path = [[a[0][0], [a[0][0]]]] +for i in xrange(1, len(a)): + newpath = [] + tmp = path[0][1][:] + tmp.append(a[i][0]) + newpath.append([path[0][0] + a[i][0], tmp]) + for j in xrange(1, i): + flag = (path[j - 1][0] > path[j][0]) and -1 or 0 + tmp = path[j + flag][1][:] + tmp.append(a[i][j]) + newpath.append([path[j + flag][0] + a[i][j], tmp]) + tmp = path[i - 1][1][:] + tmp.append(a[i][i]) + newpath.append([path[i - 1][0] + a[i][i], tmp]) + path = newpath + +maxx = [0, 0] +for i in path: + if i[0] > maxx[0]: + maxx = i +print maxx +''' \ No newline at end of file diff --git a/python/19.py b/python/19.py new file mode 100644 index 0000000..84a8e34 --- /dev/null +++ b/python/19.py @@ -0,0 +1,33 @@ +month = (0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31) + + +def testyear(x): + if x % 400 == 0: + return True + if x % 100 != 0 and x % 4 == 0: + return True + return False + + +pair = [[1900, 1], 1] + +def next(): + pair[1] += month[pair[0][1]] + if testyear(pair[0][0]) and pair[0][1] == 2: + pair[1] += 1 + pair[1] %= 7 + pair[0][1] += 1 + if pair[0][1] > 12: + pair[0][1] = 1 + pair[0][0] += 1 + +total = 0 +for i in xrange(12): + next() + +while pair[0][0] < 2001: + if pair[1] == 0: + total += 1 + next() + +print total diff --git a/python/2.py b/python/2.py new file mode 100644 index 0000000..05b3f91 --- /dev/null +++ b/python/2.py @@ -0,0 +1,24 @@ +# coding=utf-8 + +''' Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be: +1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... +By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms. ''' + +fib = [1, 1, 0] # 设置 fib 数列循环的数组 +i = 1 # fib 数列的项计数器 +total = 0 # 满足条件的数的和 +while fib[i] <= 4000000: # fib 数列小于要求值时不断循环 + if fib[i] % 2 == 0: + print fib[i] + total += fib[i] # 满足条件的项计入总和 + i = (i + 1) % 3 # 项计数器 + fib[i] = fib[(i + 1) % 3] + fib[(i + 2) % 3] # +print total # + +a, b = 2, 8 +total = 0 +while a < 4000000: + total += a + a, b = b, a + b * 4 +print total + diff --git a/python/20.py b/python/20.py new file mode 100644 index 0000000..ace675b --- /dev/null +++ b/python/20.py @@ -0,0 +1,13 @@ +''' n! means n * (n - 1) * ... * 3 * 2 * 1 +For example, 10! = 10 * 9 * ... * 3 * 2 * 1 = 3628800, +and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27. +Find the sum of the digits in the number 100! ''' + +a = 1 +sum = 0 +for i in xrange(1, 101): + a *= i +while a > 0: + sum += a % 10 + a /= 10 +print sum diff --git a/python/21.py b/python/21.py new file mode 100644 index 0000000..ea36192 --- /dev/null +++ b/python/21.py @@ -0,0 +1,19 @@ +''' Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). +If d(a) = b and d(b) = a, where a b, then a and b are an amicable pair and each of a and b are called amicable numbers. +For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; therefore d(220) = 284. The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220. +Evaluate the sum of all the amicable numbers under 10000. ''' + +import math + +def ami(x): + test = 1 + sqr = int(math.ceil(math.sqrt(x))) + if sqr * sqr == x: test += sqr + for i in xrange(2, sqr + 1): + if x % i == 0: test += i + x / i + return test + +for j in xrange(2, 10000): + tmp = ami(j) + if j == ami(tmp) and j != tmp: + print j, '\t', tmp diff --git a/python/22.py b/python/22.py new file mode 100644 index 0000000..92e59ab --- /dev/null +++ b/python/22.py @@ -0,0 +1,21 @@ +''' Using names.txt (right click and 'Save Link/Target As...'), a 46K text file containing over five-thousand first names, begin by sorting it into alphabetical order. Then working out the alphabetical value for each name, multiply this value by its alphabetical position in the list to obtain a name score. +For example, when the list is sorted into alphabetical order, COLIN, which is worth 3 + 15 + 12 + 9 + 14 = 53, is the 938th name in the list. So, COLIN would obtain a score of 938 * 53 = 49714. +What is the total of all the name scores in the file? ''' + +def namescore(nn): + mark = 0 + for i in nn: + mark += ord(i) - ord('A') + 1 + return mark + + +filein = open('names.txt', 'r') +names = filein.read().split(',') +names.sort() +test = names[:] + + +for xx in xrange(len(names)): + test[xx] = (xx + 1) * namescore(names[xx]) + +print sum(test) diff --git a/python/23.py b/python/23.py new file mode 100644 index 0000000..678f078 --- /dev/null +++ b/python/23.py @@ -0,0 +1,49 @@ +# coding=utf-8 +''' A perfect number is a number for which the sum of its proper divisors is exactly equal to the number. For example, the sum of the proper divisors of 28 would be 1 + 2 + 4 + 7 + 14 = 28, which means that 28 is a perfect number. +A number n is called deficient if the sum of its proper divisors is less than n and it is called abundant if this sum exceeds n. +As 12 is the smallest abundant number, 1 + 2 + 3 + 4 + 6 = 16, the smallest number that can be written as the sum of two abundant numbers is 24. By mathematical analysis, it can be shown that all integers greater than 28123 can be written as the sum of two abundant numbers. However, this upper limit cannot be reduced any further by analysis even though it is known that the greatest number that cannot be expressed as the sum of two abundant numbers is less than this limit. +Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers. ''' + +_limit = 20161 + +def factor(n): + ll = [1] + i = 2 + while i <= int(n ** 0.5): + if n % i == 0: + ll.append(i) + if n // i != i: + ll.append(n / i) + i += 1 + return ll + +def test(x): + sum = 0 + for i in factor(x): + sum += i + if sum > x: + return 1 + else: return 0 + +def ablist(max): + all = [] + for i in xrange(10, max + 1): + if test(i): + all.append(i) + return all + +abnum = ablist(_limit) + +if __name__ == '__main__': + num = range(_limit + 1) + for xx in abnum: + for yy in abnum: + tmp = xx + yy + if tmp < _limit: + num[tmp] = 0 + else: + break + sum = 0 + for i in num: + sum += i + print sum diff --git a/python/24.py b/python/24.py new file mode 100644 index 0000000..b9cb4ca --- /dev/null +++ b/python/24.py @@ -0,0 +1,25 @@ +_max = 10 +_end = 1000000 + +_last = 3628800 + +locale = _end - 1 + +num = [1, 1] +count = [1,1,1,1,1,1,1,1,1,1] +ch = '0123456789' +out = '' + +i = 2 +while len(num) < 10: + num.append(num[-1] * i) + i += 1 + +for i in xrange(_max - 1, 0, -1): + count[i] = locale / num[i] + locale %= num[i] + out += ch[count[i]] + ch = ch[:count[i]] + ch[count[i] + 1:] + + +print out + ch diff --git a/python/25.py b/python/25.py new file mode 100644 index 0000000..90057c1 --- /dev/null +++ b/python/25.py @@ -0,0 +1,7 @@ +fib = [1, 1, 0] +num = 2 +while 1: + fib[num % 2] = fib[(num + 1) % 2] + fib[(num + 2) % 2] + if len(str(fib[num % 2])) == 1000: break + num += 1 +print num + 1 diff --git a/python/26.py b/python/26.py new file mode 100644 index 0000000..45be7af --- /dev/null +++ b/python/26.py @@ -0,0 +1,39 @@ +# coding=utf-8 +def divnum(a): + mod = [] + div = 1 + while 1: + tmp = div % a + if tmp == 0: + return len(mod) + elif mod.count(tmp): break + else: + mod.append(tmp) + div *= 10 + return len(mod) - mod.index(tmp) + + +def divnum1(a): + while a % 2 == 0: + a /= 2 + while a % 5 == 0: + a /= 5 + j = 1 + while 1: + tmp = int('9' * j) + if tmp % a == 0: + return str(tmp / a) + j += 1 + + + +maxnum = [0, 0] +maxx = 1000 +for i in xrange(1, maxx + 1): + temp = divnum(i) + #temp = len(divnum1(i)) + if temp > maxnum[1]: + maxnum[0] = i + maxnum[1] = temp + +print maxnum diff --git a/python/27.py b/python/27.py new file mode 100644 index 0000000..d22e5d0 --- /dev/null +++ b/python/27.py @@ -0,0 +1,33 @@ +def isprime(x): + if x <= 0: + return False + if x == 2: + return True + temp = 3 + while temp <= int(x ** 0.5) + 1: + if x % temp == 0: return False + else: temp += 2 + return True + + +delta = lambda x, y: 2 * x + y + 1 + + +a = [0, 0, 0] +for j in xrange(1001): + if isprime(j): + for i in xrange(-1000, 1001): + n = 0 + tmp = j + while 1: + tmp += delta(n, i) + if isprime(tmp): + #print j, '\t', i, '\t', tmp + n += 1 + else: + break + if n > a[0]: + a[0] = n + a[1] = i + a[2] = j +print a[1] * a[2], '=', a[1], '*', a[2] diff --git a/python/28.py b/python/28.py new file mode 100644 index 0000000..e073603 --- /dev/null +++ b/python/28.py @@ -0,0 +1,8 @@ +total = 0 + +for i in xrange(1, 1002): + tmp = i * i + total += tmp + (1 - i % 2) + total += tmp + i + 1 + +print total - 1001 * 1002 - 1 diff --git a/python/29.py b/python/29.py new file mode 100644 index 0000000..707b838 --- /dev/null +++ b/python/29.py @@ -0,0 +1,8 @@ +lis = [] +for i in xrange(2, 101): + for j in xrange(2, 101): + tmp = i ** j + if lis.count(tmp) == 0: + lis.append(tmp) + +print len(lis) diff --git a/python/3.py b/python/3.py new file mode 100644 index 0000000..79fc8ba --- /dev/null +++ b/python/3.py @@ -0,0 +1,20 @@ +# coding=utf-8 +''' The prime factors of 13195 are 5, 7, 13 and 29. +What is the largest prime factor of the number 600851475143 ? ''' + +'''分解因数，如果是素数返回''' +def factor(x, min = 2): + temp = min + while temp <= int(x ** 0.5) + 1: #从最小值到上界开始尝试 + if x % temp == 0: return temp # 如果 a 能分解则返回最小因子 + else: temp += 1 + return 1 # 如果 a 是素数就返回 1，此处也可以设置为返回 x 本身 + +n = 600851475143 +i = 2 # 尝试循环分解 n 的因子 +while i <= int(math.sqrt(n)) + 1: + if n % i == 0 : # 如果满足 i 整除 n + if factor(n / i) == 1: break # 同时 n / i 是素数则返回 + else: n /= i # 如果 n / i 不为素数，就缩小 n 以减小运算量 + i += 1 +print n / i # 输出结果 diff --git a/python/30.py b/python/30.py new file mode 100644 index 0000000..dd4fec6 --- /dev/null +++ b/python/30.py @@ -0,0 +1,15 @@ +def ala(x, n = 5): + ss = 0 + while x != 0: + ss += (x % 10) ** n + x /= 10 + return ss + +total = 0 +for i in xrange(1000000): + if i == ala(i): + print i + total += i + + +print '\n\n', total - 1 diff --git a/python/31.py b/python/31.py new file mode 100644 index 0000000..e1e98f6 --- /dev/null +++ b/python/31.py @@ -0,0 +1,17 @@ +cash = (200, 100, 50, 20, 10, 5, 2, 1) +#cash = (5, 2, 1) +total = [] + +def im(lis, x, n, a = 0): + if a == len(cash) - 1: + x.append(n) + lis.append(x[:]) + x.pop() + return + for i in xrange(int(n / cash[a]) + 1): + x.append(i) + im(lis, x, n - i * cash[a], a + 1) + x.pop() + +im(total, [], 200) +print len(total) diff --git a/python/32.py b/python/32.py new file mode 100644 index 0000000..2db081a --- /dev/null +++ b/python/32.py @@ -0,0 +1,53 @@ +from math import log10 + +def pick(x, lis, out, a = 0): + if x == 0: + out.append([a, lis]) + return + a *= 10 + for i in xrange(len(lis)): + tmp = lis[:] + tmpa = a + lis[i] + tmp.pop(i) + pick(x - 1, tmp, out, tmpa) + + + +def test(x, n): + tmp = x[:] + while n > 0: + if tmp.count(n % 10): + tmp.remove(n % 10) + n /= 10 + else: + return False + if len(tmp) > 0: + return False + return True + +total = [] + +tt = [] +pick(1, [1,2,3,4,5,6,7,8,9], tt) +for i in tt: + yy = [] + pick(4, i[1], yy) + for j in yy: + if test(j[1], i[0] * j[0]): + tmp = i[0] * j[0] + if total.count(tmp) == 0: + total.append(tmp) + +tt = [] +pick(2, [1,2,3,4,5,6,7,8,9], tt) +for i in tt: + yy = [] + pick(3, i[1], yy) + for j in yy: + if test(j[1], i[0] * j[0]): + tmp = i[0] * j[0] + if total.count(tmp) == 0: + total.append(tmp) + + +print sum(total) diff --git a/python/33.py b/python/33.py new file mode 100644 index 0000000..66a7eb3 --- /dev/null +++ b/python/33.py @@ -0,0 +1,39 @@ +gcd = lambda x, y: y == 0 and x or gcd(y, x % y) + + +def common(x, y): + a = [] + b = [] + while x > 0: + a.append(x % 10) + x /= 10 + while y > 0: + b.append(y % 10) + y /= 10 + outa = 0 + outb = 0 + tmp = list(set(a) & set(b)) + if tmp.count(0) != 0: + tmp.remove(0) + if len(tmp) > 0: + for i in tmp: + a.remove(i) + b.remove(i) + if len(a) == 0 or len(b) == 0: + return (False, 0) + a.reverse() + for j in a: outa = outa * 10 + j + b.reverse() + for j in b: outb = outb * 10 + j + return (True, outa, outb) + else: + return (False, 0) + + +for i in xrange(11, 100): + for j in xrange(i + 1, 100): + tmp = common(i, j) + if tmp[0]: + if tmp[1] * j == tmp[2] * i: + print i, j + diff --git a/python/34.py b/python/34.py new file mode 100644 index 0000000..ffbbf49 --- /dev/null +++ b/python/34.py @@ -0,0 +1,25 @@ +def mul(x): + out = 1 + for i in xrange(2, x + 1): + out *= i + return out + +def ala(x): + tt = x + xx = 0 + while tt > 0: + xx += mul(tt % 10) + tt /= 10 + if xx == x: + return True + else: + return False + +total = 0 +i = 3 +while i < 100000: + if ala(i): + print i + total += i + i += 1 +print total diff --git a/python/35.py b/python/35.py new file mode 100644 index 0000000..1dd7f42 --- /dev/null +++ b/python/35.py @@ -0,0 +1,42 @@ +''' The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime. +There are thirteen such primes below 100: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, and 97. +How many circular primes are there below one million? ''' + +from math import log10 + +pp = [2] +for i in xrange(3, 1000, 2): + for x in pp: + if i % x == 0: + break + else: + pp.append(i) + +def isp(a): + for i in pp: + if a % i == 0: + if a == i: + return True + return False + return True + +def loop(x): + length = int(log10(x)) + return (x % 10) * 10 ** length + x / 10 + +def lote(n): + tt = n + while 1: + if not isp(tt): + return False + tt = loop(tt) + if tt == n: + return True + +out = [2] +for ii in xrange(3, 1000000, 2): + if lote(ii): + out.append(ii) + +print len(out) + diff --git a/python/36.py b/python/36.py new file mode 100644 index 0000000..936da43 --- /dev/null +++ b/python/36.py @@ -0,0 +1,45 @@ +def rev(x): + out = '' + for i in xrange(len(x)): + out += x[-1 - i] + return out + + + +def make(x): + if x == 1: + return [1,2,3,4,5,6,7,8,9] + lenn = 10 ** (x / 2) + out = [] + for i in xrange(lenn / 10, lenn): + a = str(i) + b = rev(a) + if x % 2: + for i in xrange(10): + out.append(int(a + str(i) + b)) + else: + out.append(int(a + b)) + return out + + + +def test(x): + bi = [] + while x > 0: + bi.append(x % 2) + x /= 2 + bb = bi[:] + bb.reverse() + if bi == bb: + #print bi, + return True + else: + return False + +total = 0 +for i in xrange(1, 7): + for j in make(i): + if test(j): + #print j + total += j +print total diff --git a/python/37.py b/python/37.py new file mode 100644 index 0000000..469e248 --- /dev/null +++ b/python/37.py @@ -0,0 +1,35 @@ +from math import sqrt, log10 + +def isp(x): + if x == 2: + return True + if x <= 1 or x & 1 == 0: + return False + for i in xrange(3, int(sqrt(x)) + 1, 2): + if x % i == 0: + return False + return True + + +def ananum(x): + if isp(x): + for i in xrange(1, int(log10(x)) + 1): + if isp(x / (10 ** i)) and isp(x % (10 ** i)): + continue + else: + return False + return True + return False + + +count = 0 +total = [] +n = 11 +while count < 11: + if ananum(n): + count += 1 + total.append(n) + n += 1 + +print count, sum(total) +print total diff --git a/python/38.py b/python/38.py new file mode 100644 index 0000000..1ba98ee --- /dev/null +++ b/python/38.py @@ -0,0 +1,31 @@ +def pick(x, lis, out, a = 0): + if x == 0: + out.append(a) + return + a *= 10 + for i in xrange(len(lis)): + tmp = lis[:] + tmpa = a + lis[i] + tmp.pop(i) + pick(x - 1, tmp, out, tmpa) + +def test(x): + mm = '932718654' + ss = '' + i = 0 + while len(ss) < 9: + i += 1 + ss += str(i * x) + tt = [] + for j in xrange(len(ss)): + tt.append(ss[j]) + if len(tt) == len(set(tt)) and ss >= mm: + if not tt.count('0'): + print ss + +num = [1,2,3,4,5,6,7,8,9] +tt = [] +pick(4, num, tt) + +for i in tt: + test(i) diff --git a/python/384/384.py b/python/384/384.py new file mode 100644 index 0000000..d7a8f13 --- /dev/null +++ b/python/384/384.py @@ -0,0 +1,98 @@ +from math import log +from sys import argv + + +fib = [1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657,46368,75025,121393,196418,317811,514229,832040,1346269,2178309,3524578,5702887,9227465,14930352,24157817,39088169,63245986,102334155,165580141,267914296,433494437,701408733,1134903170,1836311903] + + +def sqrs(x): + out = '' + while x > 0: + out += chr(ord('0') + x % 2) + x /= 2 + if len(out) <= 1: return 1 + outnum = 1 + for i in xrange(1, len(out)): + if out[i] == out[i - 1] == '1': + outnum *= -1 + return outnum + +''' +def trace(x, n): + bale = 0 + print '%12s' % bin(x)[2:], + for i in xrange(1, n + 1): + bale += sqrs(x + i) + if bale == 0: + print '%4d' % i, + break + + +for kk in xrange(10): + trace(2 ** kk + int(argv[1]), 1000) + print +''' +''' +a = 0 +for i in xrange(10000): + a += sqrs(i) + print a, +''' + +def listsr(x): + out = [1] + for i in xrange(x): + out.append(out[i] + sqrs(i + 1)) + return out + + +def sqs(lis): + dic = {} + for i in xrange(len(lis)): + tmp = lis[i] + if dic.keys().count(tmp) == 0: + dic.update({tmp: [i]}) + else: + dic.get(tmp).append(i) + return dic + + + + + +def log2(x): + return int(log(x)/log(2)) + + +def first(x): + if x == 0: + return 0 + minus = 0 + if x & 1 == 0: + tmp = 1 + while x & tmp == 0: + tmp *= 2 + else: + minus = ((4 ** log2(tmp) - 1) / 3 + 1) / 2 + x += 1 + length = log2(x) + value = 4 ** length / 2 + can = 2 ** length + 1 # 1000...0001 + for i in xrange(1, length): + bar = 2 ** i + if (bar & can) != (bar & x): + value += 4 ** i / 2 + return value - minus + + +lis = listsr(50000) +#print lis +a = sqs(lis) +a.pop(1) +for item in a.keys(): + tmp = a.get(item)[0] + for i in xrange(len(a.get(item))): + a.get(item)[i] -= tmp + #print item, '\t', '%8s' % bin(tmp)[2:], '\t', a.get(item) + print '%10s' % bin(item)[2:], '%6d' % first(item), '%7d' % a.get(item)[-1], '%8d' % ((first(item) + a.get(item)[-1]) / 2), a.get(item)[(item + 1) / 2] + diff --git a/python/384/p.tex b/python/384/p.tex new file mode 100644 index 0000000..33aa6ef --- /dev/null +++ b/python/384/p.tex @@ -0,0 +1,50 @@ +\documentclass[12pt,a4paper]{article} +\usepackage[top=2cm, bottom=2cm, left=2.5cm, right=2.5cm]{geometry} +\usepackage{indentfirst}%首行缩进 +\XeTeXlinebreaklocale "zh"%中文换行 +\XeTeXlinebreakskip = 0pt plus 1pt minus 0.1pt%放宽断行限制 + +\usepackage[cm-default, no-math, no-config]{fontspec}%字体包 +\setmainfont[BoldFont=WenQuanYi Micro Hei]{SimSun}%设置字体 + +\title{问题 384} +\author{Project Euler} + +\begin{document} +\maketitle + +定义数列 $a(n)$ 是 $n$ 的二进制数字中成对出现的$1$的对数。例如： +$$ +a(5)=a(101_2)=0,a(6)=a(110_2)=1,a(7)=a(111_2)=2 +$$ + +定义数列 $b(n)=(-1)^{a(n)}$。此数列被称为 Rudin-Shapiro 数列。\\ + + +考察数列 $b(n)$ 的前 $n$ 项和 $$s(n)=\sum^n_{i=0}b(i)$$ + + +此三个数列的前几项为 +\begin{center} +\begin{tabular}{lrrrrrrrr} + n & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ + a(n) & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 2 \\ + b(n) & 1 & 1 & 1 & -1 & 1 & 1 & -1 & 1 \\ + s(n) & 1 & 2 & 3 & 2 & 3 & 4 & 3 & 4 \\ +\end{tabular} +\end{center} + +数列 $s(n)$ 有如下性质，所有数字都为整数，且每个数字出现的次数与其本身数值相等。\\ + +定义 $g(t,c)$，其中 $1 \leq c \leq t$，表示 $t$ 第 $c$ 次出现时的下标 $n$。 + +例如 $g(3,3)=6, g(4,2)=7, g(54321, 12345)=1220847710$。\\ + +令 $F(n)$ 是 fibonacci 数列，其中 $F(0) = F(1) = 1$。\\ + +定义 $GF(t)=g(F(t),F(t-1))$，求 +$$ +\sum_{t=2}^{45}GF(t) +$$ + +\end{document} diff --git a/python/39.py b/python/39.py new file mode 100644 index 0000000..98406cd --- /dev/null +++ b/python/39.py @@ -0,0 +1,21 @@ +a = {} + +for i in xrange(1, 1000): + for j in xrange(i, 1000): + tmp = i * i + j * j + sqr = int(tmp ** 0.5) + if tmp == sqr * sqr and i + j + sqr <= 1000: + tt = i + j + sqr + if a.keys().count(tt): + a.update({tt: a.get(tt) + 1}) + else: + a.update({tt: 1}) + + +mm = [0, 0] +for i in a.keys(): + if a.get(i) > mm[1]: + mm[0] = i + mm[1] = a.get(i) + +print mm diff --git a/python/4.py b/python/4.py new file mode 100644 index 0000000..d76d2cc --- /dev/null +++ b/python/4.py @@ -0,0 +1,4 @@ +# coding=utf-8 +''' A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 * 99. +Find the largest palindrome made from the product of two 3-digit numbers.. ''' + diff --git a/python/40.py b/python/40.py new file mode 100644 index 0000000..7da937c --- /dev/null +++ b/python/40.py @@ -0,0 +1,32 @@ +''' An irrational decimal fraction is created by concatenating the positive +integers: +0.123456789101112131415161718192021... +It can be seen that the 12th digit of the fractional part is 1. +If dn represents the nth digit of the fractional part, find the value of the following expression. +d1 * d10 * d100 * d1000 * d10000 * d100000 * d1000000 ''' + +from math import log10 + +def num(x, i): + if i > int(log10(x)): + raise IOError + else: + i = int(log10(x)) - i + while i > 0: + x /= 10 + i -= 1 + return x % 10 + +def d(x): + elem = [0, 9, 189, 2889, 38889, 488889, 5888889, 68888889] + for i in xrange(len(elem)): + if elem[i] >= x: + break + x -= elem[i - 1] + 1 + return num(10 ** (i - 1) + x / i, x % i) + +multi = 1 +for i in xrange(7): + multi *= d(10 ** i) + #print d(10 ** i) +print multi diff --git a/python/41.py b/python/41.py new file mode 100644 index 0000000..64887bc --- /dev/null +++ b/python/41.py @@ -0,0 +1,33 @@ +def pick(x, lis, out, a = 0): + if x == 0: + out.append(a) + return + a *= 10 + for i in xrange(len(lis)): + tmp = lis[:] + tmpa = a + lis[i] + tmp.pop(i) + pick(x - 1, tmp, out, tmpa) + + +def isprime(x): + if x == 2: + return True + if x % 2 == 0: + return False + temp = 3 + while temp <= int(x ** 0.5) + 1: + if x % temp == 0: return False + else: temp += 2 + return True + + +a = [1,2,3,4,5,6,7] +tt = [] +pick(len(a), a, tt) +tt.reverse() +for i in tt: + if isprime(i): + print i + break + diff --git a/python/42.py b/python/42.py new file mode 100644 index 0000000..313f237 --- /dev/null +++ b/python/42.py @@ -0,0 +1,29 @@ +def trinum(x): + if x == 1: + return True + x *= 2 + sqr = int(x ** 0.5) + if x == sqr * (sqr + 1): + return True + else: + return False + +filein = open('words.txt', 'r') +names = filein.read().split(',') +for ii in xrange(len(names)): + names[ii] = names[ii][1:-1] + +def score(nn): + mark = 0 + for i in nn: + mark += ord(i) - ord('A') + 1 + return mark + + +count = 0 +for i in names: + if trinum(score(i)): + #print '%3d\t' % score(i), i + count += 1 + +print count diff --git a/python/43.py b/python/43.py new file mode 100644 index 0000000..70eb3aa --- /dev/null +++ b/python/43.py @@ -0,0 +1,31 @@ + +def picksort(x, lis, out, a = 0): + if x == 0: + out.append(a) + return + a *= 10 + for i in xrange(len(lis)): + tmp = lis[:] + tmpa = a + lis[i] + tmp.pop(i) + picksort(x - 1, tmp, out, tmpa) + + + + +a = [0,1,2,3,4,6,7,8,9] +tt = [] +picksort(len(a), a, tt) + + +total = 0 +for i in tt: + tttt = str(i) + if tttt[0] != '0' and int(tttt[3]) % 2 == 0: + if int(tttt[2:5]) % 3 == 0 and int(tttt[5:8]) % 13 == 0 and int(tttt[6:]) % 17 == 0: + tmp = i % 10000 + (i / 10000 * 10 + 5) * 10000 + if int(str(tmp)[4:7]) % 7 == 0 and int(str(tmp)[5:8]) % 11 == 0: + print tmp + total += tmp + +print total diff --git a/python/44.py b/python/44.py new file mode 100644 index 0000000..e7d10e5 --- /dev/null +++ b/python/44.py @@ -0,0 +1,21 @@ +def test(x): + sq = 12 * x + 1 + ss = int(sq ** 0.5) + if ss * ss != sq: + return False + if ss % 6 != 5: + return False + return True + +def main(): + max = 3000 + for n in xrange(4, max): + for m in xrange(n + 1, max): + a = 3 * (m * m + n * n) - m - n + b = (m - n) * (3 * (m + n) - 1) + if test(a) and test(b): + print a / 2, b / 2, m, n + return + + +main() diff --git a/python/45.py b/python/45.py new file mode 100644 index 0000000..3a510c5 --- /dev/null +++ b/python/45.py @@ -0,0 +1,8 @@ +m = 166 +while 1: + five = m * (3 * m - 1) + n = int(five ** 0.5) + if five == n * (n + 1) and n % 2 == 1: + break + m += 1 +print m * (3 * m - 1) / 2 diff --git a/python/46.py b/python/46.py new file mode 100644 index 0000000..6071926 --- /dev/null +++ b/python/46.py @@ -0,0 +1,31 @@ +from math import sqrt, log10 + +def isp(x): + if x == 2: + return True + if x <= 1 or x & 1 == 0: + return False + for i in xrange(3, int(sqrt(x)) + 1, 2): + if x % i == 0: + return False + return True + + +def test(x): + sqr = int(sqrt((x - 1) / 2)) + for i in xrange(1, sqr + 1): + tt = x - 2 * i * i + if isp(tt): + return True + return False + + +n = 9 +while 1: + if not isp(n): + if not test(n): + print n + break + n += 2 + +#kkkk = input('end') diff --git a/python/47.py b/python/47.py new file mode 100644 index 0000000..7034561 --- /dev/null +++ b/python/47.py @@ -0,0 +1,37 @@ +def factor(x): + out = [] + if x % 2 == 0: + out.append(2) + while x % 2 == 0: + x /= 2 + i = 3 + while 1: + if x % i == 0: + out.append(i) + while x % i == 0: + x /= i + i += 2 + if i ** 2 > x: + out.append(x) + break + while out.count(1): + out.remove(1) + return out + + +def main(same): + n = 6 + num = 0 + while num != same: + if len(factor(n)) == same: + num += 1 + else: + num = 0 + n += 1 + return n + + +maxx = 4 +a = main(maxx) +for i in xrange(1, maxx + 1): + print a - i, factor(a - i) diff --git a/python/48.py b/python/48.py new file mode 100644 index 0000000..10ebc35 --- /dev/null +++ b/python/48.py @@ -0,0 +1,6 @@ +total = 0 + +for i in xrange(1, 1001): + total += i ** i + +print total % (10 ** 10) diff --git a/python/49.py b/python/49.py new file mode 100644 index 0000000..752d2e5 --- /dev/null +++ b/python/49.py @@ -0,0 +1,48 @@ +def alanum(x): + lis = [] + while x != 0: + lis.append(x % 10) + x /= 10 + return lis + +def pick(x, lis, out, a = 0): + if x == 0: + out.append([a, lis]) + return + a *= 10 + for i in xrange(len(lis)): + tmp = lis[:] + tmpa = a + lis[i] + tmp.pop(i) + pick(x - 1, tmp, out, tmpa) + +def isp(x): + if x == 2: + return True + if x <= 1 or x & 1 == 0: + return False + for i in xrange(3, int(x ** 0.5) + 1, 2): + if x % i == 0: + return False + return True + +def main(): + n = 1489 + while 1: + if isp(n): + tmp = alanum(n) + ttmp = [] + pick(4, tmp, ttmp) + tt = [] + for ti in ttmp: + tt.append(ti[0]) + #print n, tmp, tt + while tt.count(n) > 0: + tt.remove(n) + for ii in tt: + jj = 2 * ii - n + if jj > 0 and isp(ii) and isp(jj) and tt.count(jj): + return str(n) + str(ii) + str(jj) #(n, ii, jj) + n += 1 + +print main() diff --git a/python/5.py b/python/5.py new file mode 100644 index 0000000..2e11693 --- /dev/null +++ b/python/5.py @@ -0,0 +1,36 @@ +# coding=utf-8 +''' 2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. +What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20? ''' + +from time import time + +gcd = lambda x, y: (y == 0) and x or gcd(y, x % y) + + +def p1(maxx = 20): + maxx += 1 + + num = [] + for i in range(maxx): num.append(i) + + for i in range(2, maxx): + if num[i] > 1: + for j in range(i + 1, maxx): + if num[j] % num[i] == 0: num[j] /= num[i] + + total = 1 + for i in num[1 : maxx]: total *= num[i] + #print num + print total + + +def p2(maxx = 20): + n = 2 + for i in xrange(3, maxx + 1): + if n % i != 0: + n = n * i / gcd(n, i) + return n + +#p1(20) + +print p2(50000) diff --git a/python/50.py b/python/50.py new file mode 100644 index 0000000..eb6139c --- /dev/null +++ b/python/50.py @@ -0,0 +1,34 @@ +# coding=utf8 + +prime = [] +total = 0 +n = 2 + +def factor(x): + x = int(x) + if x <= 1: return 0 + else: + for i in xrange(2, int(x ** 0.5) + 1): + if x % i == 0: break + else: return x + return i + +while total <= 1000000: + if factor(n) == n: + total += n + prime.append(n) + n += 1 + +def search(): + for length in xrange(len(prime) - 1, 2, -1): + for start in xrange(0, len(prime) - length + 1): + sump = 0 + for tmp in prime[start: start + length]: + sump += tmp + if factor(sump) == sump: + print sump + print prime[start: start + length] + return 0 + +if __name__ == '__main__': + search() diff --git a/python/51.py b/python/51.py new file mode 100644 index 0000000..ddb553a --- /dev/null +++ b/python/51.py @@ -0,0 +1,57 @@ +from string import maketrans, translate + +def numbreak(x): + out = [] + while x != 0: + out.append(x % 10) + x /= 10 + return set(out) + +def numloop(x, a, lis): + out = [] + for i in xrange(10 - a): + tt = maketrans(str(a), str(i + a)) + tmp = int(translate(str(x), tt)) + if isp(tmp, lis): + out.append(tmp) + return out + +def isp(x, lis): + for i in lis: + if x % i == 0: + return False + if x < i ** 2: + break + return True + +def makeP(x): + p = [2] + P = [2] + n = 3 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +prime = makeP(100000) + +def main(): + xx = 56003 + while 1: + ss = numbreak(xx) + for syn in xrange(3): + if syn in ss: + tmp = numloop(xx, syn, prime) + if len(tmp) >= 8: + print xx, tmp + return + xx += 2 + while not isp(xx, prime): xx += 2 + +main() diff --git a/python/52.py b/python/52.py new file mode 100644 index 0000000..214f279 --- /dev/null +++ b/python/52.py @@ -0,0 +1,24 @@ +def divnum(x): + out = [] + while x > 0: + out.append(x % 10) + x /= 10 + return out + + +def testnum(x, n): + a = divnum(x) + for i in xrange(2, n + 1): + b = divnum(x * i) + if set(a) != set(b): + return False + return True + + +n = 1 +while n < 1000000: + if testnum(n, 6): + break + n += 1 +for i in xrange(1, 7): + print n * i diff --git a/python/53.py b/python/53.py new file mode 100644 index 0000000..fc2dea6 --- /dev/null +++ b/python/53.py @@ -0,0 +1,26 @@ +def C(x, y): + if x * 2 > y: + return C(y - x, y) + out = 1 + for i in xrange(y, y - x, -1): + out *= i + for i in xrange(1, x + 1): + out /= i + return out + +total = [] +for i in xrange(1, 101): + j = 0 + tmp = 0 + for j in xrange(i + 1): + tmp = C(j, i) + if tmp < 1000000: + total.append((j, i, tmp)) + else: + break + if 2 * j < i: + for j in xrange(j - 1, -1, -1): + total.append((i - j, i)) + + +print 103 * 50 - len(total) diff --git a/python/54.py b/python/54.py new file mode 100644 index 0000000..d61e2ae --- /dev/null +++ b/python/54.py @@ -0,0 +1,61 @@ +#valuetab = ('High Card', 'One Pair', 'Two Pairs', 'Three of a Kind', 'Straight', 'Flush', 'Full House', 'Four of a Kind', 'Straight Flush', 'Royal Flush') + +trans = {'A':14, 'T':10, 'J':11, 'Q':12, 'K':13} + +def calc(x): + color = [] + num = [] + for i in x: + color.append(i[1]) + if '1' < i[0] <= '9': + num.append(ord(i[0]) - ord('0')) + else: + num.append(trans.get(i[0])) + num.sort() + num.append(0) + step = 1 + dic = {4:[], 3:[], 2:[], 1:[]} + same = 1 + for i in xrange(1, len(num)): + diff = num[i] - num[i - 1] + if diff == 0: + same += 1 + else: + dic.get(same).append(num[i - 1]) + same = 1 + if diff == 1: + step += 1 + if len(dic.get(4)): + return (7, dic.get(4)[0], dic.get(1)) + if len(dic.get(3)) == len(dic.get(2)) == 1: + return (6, dic.get(3)[0], dic.get(2)[0]) + flag = 0 + if len(set(color)) == 1: + if step == 5: + return (8, dic.get(1)[-2]) + flag = 5 + if step == 5: + return (flag, 4, num[-2]) + if len(dic.get(3)): + dic.get(1).reverse() + return (flag, 3, dic.get(3)[0], dic.get(1)) + if len(dic.get(2)) > 1: + dic.get(2).reverse() + return (flag, 2, dic.get(2), dic.get(1)) + dic.get(1).reverse() + if len(dic.get(2)): + return (flag, 1, dic.get(2)[0], dic.get(1)) + return (flag, 0, dic.get(1)) + +def main(): + ff = open('poker.txt', 'r') + out = 0 + for line in ff.readlines(): + strlis = line.split(' ') + if calc(strlis[0:5]) > calc(strlis[5:]): + out += 1 + ff.close() + return out + +#print calc(['7C','4C','4C','4C','7C']) +print main() diff --git a/python/55.py b/python/55.py new file mode 100644 index 0000000..2c3a0b4 --- /dev/null +++ b/python/55.py @@ -0,0 +1,39 @@ +def revnum(x): + out = 0 + while x != 0: + out *= 10 + out += x % 10 + x /= 10 + return out + +def isL(x_ori): + x = x_ori + x += revnum(x) + n = 0 + while n < 50: + x_ = revnum(x) + if x_ == x: + return False + x += x_ + n += 1 + return True + +def test(x): + n = 0 + while n < 50: + print x + x_ = revnum(x) + if x == x_: break + x += x_ + n += 1 + + +import time +a0 = time.clock() +be = [] +for i in xrange(1, 10001): + if isL(i): + be.append(i) +a1 = time.clock() +print be +print a1 - a0 diff --git a/python/56.py b/python/56.py new file mode 100644 index 0000000..71ec844 --- /dev/null +++ b/python/56.py @@ -0,0 +1,15 @@ +def numsum(x): + out = 0 + while x > 0: + out += x % 10 + x /= 10 + return out + + +mmax = [0, 0, 0] +for i in xrange(1, 101): + for j in xrange(1, 101): + tmp = numsum(i ** j) + if tmp > mmax[0]: + mmax = [tmp, i, j] +print mmax diff --git a/python/57.py b/python/57.py new file mode 100644 index 0000000..79e18c8 --- /dev/null +++ b/python/57.py @@ -0,0 +1,10 @@ +from math import log10 +sq2 = [(1, 1)] +count = 0 +for i in xrange(1, 1001): + last = sq2[len(sq2) - 1] + if int(log10(last[0])) > int(log10(last[1])): + print last + count += 1 + sq2.append((last[0] + 2 * last[1], last[0] + last[1])) +print count diff --git a/python/58.py b/python/58.py new file mode 100644 index 0000000..05ad685 --- /dev/null +++ b/python/58.py @@ -0,0 +1,28 @@ +laymax = lambda x: (2 * x + 1) ** 2 + +def isp(x): + if x == 2: + return True + if x <= 1 or x & 1 == 0: + return False + for i in xrange(3, int(x ** 0.5) + 1, 2): + if x % i == 0: + return False + return True + +be = 3 +non = 2 + +i = 2 +while 9 * be >= non: + tmp = laymax(i) + for j in xrange(4): + #print float(be) / (be + non) + if isp(tmp): + be += 1 + else: + non += 1 + tmp -= 2 * i + i += 1 + +print 2 * i - 1 diff --git a/python/59.py b/python/59.py new file mode 100644 index 0000000..2073494 --- /dev/null +++ b/python/59.py @@ -0,0 +1,18 @@ +from string import atoi + +fi = open('../lib/cipher1.txt', 'r') +st = fi.read() +li = st.split(',') +for i in xrange(len(li)): + li[i] = atoi(li[i]) + +'''['g', 'o', 'd']''' +de = [103, 111, 100] +count = 0 +string = '' +for i in xrange(len(li)): + count += li[i] ^ de[i % 3] + tmp = chr(li[i] ^ de[i % 3]) + string += tmp +print string +print count diff --git a/python/6.py b/python/6.py new file mode 100644 index 0000000..e46ee33 --- /dev/null +++ b/python/6.py @@ -0,0 +1,16 @@ +# coding=utf-8 +''' The sum of the squares of the first ten natural numbers is, +1^2 + 2^2 + ... + 10^2 = 385 +The square of the sum of the first ten natural numbers is, +(1 + 2 + ... + 10)^2 = 552 = 3025 +Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 385 = 2640. +Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum. ''' + +total = 0 +num = [] +for i in range(100): num.append(i + 1) +for i in range(100): + for j in range(i + 1, 100): + total += num[i] * num[j] +total *= 2 +print total diff --git a/python/60.py b/python/60.py new file mode 100644 index 0000000..c792400 --- /dev/null +++ b/python/60.py @@ -0,0 +1,76 @@ +def isp(x, lis): + for i in lis: + if x % i == 0: + return False + if x < i ** 2: + break + return True + +def makep(x): + p = [2] + P = [2] + n = 3 + while len(P) < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +maxx = 1500 +prime = makep(maxx) +prime.remove(2) +prime.remove(5) + +#print len(prime) + +dic = {} +for i in xrange(len(prime)): + if i % (maxx / 10) == 0: + print i + tmp = set([]) + for j in xrange(i + 1, len(prime)): + aa = int(str(prime[i]) + str(prime[j])) + bb = int(str(prime[j]) + str(prime[i])) + if isp(aa, prime) and isp(bb, prime): + tmp.add(prime[j]) + if len(tmp) > 0: + dic.update({prime[i]: tmp}) + #print tmp + #else: + #print + +print len(dic.keys()) + +out = [] + +for x1 in dic.keys(): + for x2 in dic.get(x1): + if not x2 in dic.keys(): + continue + both2 = dic.get(x1) & dic.get(x2) + if len(both2) == 0: + continue + else: + for x3 in both2: + if not x3 in dic.keys(): + continue + both3 = both2 & dic.get(x3) + if len(both3) == 0: + continue + else: + for x4 in both3: + if not x4 in dic.keys(): + continue + both4 = both3 & dic.get(x4) + if len(both4) == 0: + continue + else: + for x5 in both4: + out.append([x1, x2, x3, x4, x5]) + +print sum(sorted(out)) diff --git a/python/61.py b/python/61.py new file mode 100644 index 0000000..1937bba --- /dev/null +++ b/python/61.py @@ -0,0 +1,74 @@ +from math import sqrt, log10 + +formula = {3:((1,1,0),(2,1),2), + 5:((3,-1,0),(6,-1),2), + 6:((2,-1,0),(4,-1),1), + 7:((5,-3,0),(10,-3),2), + 8:((3,-2,0),(6,-2),1)} + + +def poly(x, coef): + out = 0 + for i in coef: + out = x * out + i + return out + + +def tt_ori(x, f, fd, flag): + tmp = int(sqrt(flag * x)) + tmp_ = 0 + while tmp_ != tmp: + #print '*', tmp + tmp_ = tmp + tmp -= (poly(tmp, f) - flag * x) / poly(tmp, fd) + while poly(tmp, f) - flag * x > 0: + tmp -= 1 + return tmp + 1 + +def tt(x, num): + return tt_ori(x, formula.get(num)[0], formula.get(num)[1], formula.get(num)[2]) + +def test(x, num): + return poly(x, formula.get(num)[0]) / formula.get(num)[2] + +def sumri(num, n): + out = [] + tmp = tt(num, n) + while test(tmp, n) < num + 100: + out.append(tmp) + tmp += 1 + return out + + +def iter(num, lis, end, trap): + for i in lis: + trynum = sumri(num, i) + for j in trynum: + tmp = test(j, i) + if str(tmp)[2] == '0': + continue + if len(lis) == 1 and str(tmp)[2:] == end: + trap.append((tmp,j,i)) + total = 0 + for i in trap: + total += i[0] + print total + print trap + quit() + lis_ = lis[:] + lis_.remove(i) + trap.append((tmp, j,i)) + iter(tmp % 100 * 100, lis_, end, trap) + trap.pop(-1) + +def main(): + for i in xrange(32, 100): + tmp = i ** 2 + if str(tmp)[2] == '0': + continue + ch = str(tmp)[0:2] + iter(tmp % 100 * 100, [3,5,6,7,8], ch, [(tmp,i,4)]) + + +main() + diff --git a/python/62.py b/python/62.py new file mode 100644 index 0000000..533b535 --- /dev/null +++ b/python/62.py @@ -0,0 +1,38 @@ +def cuberoot(x): + sqr = int(x ** 0.5) + return rootiter(x, sqr) + +def rootiter(x, pre): + cur = pre - float(pre ** 3 - x) / (3 * pre ** 2) + if abs(cur - pre) <= 0.001: + return int(cur) + else: + return rootiter(x, cur) + +def breaknum(x): + out = [] + while x != 0: + out.append(str(x % 10)) + x /= 10 + return out + +def main(): + dic = {} + i = 1 + while 1: + tmplis = breaknum(i ** 3) + tmplis.sort() + tmp = ''.join(tmplis) + if dic.has_key(tmp): + dic.get(tmp).append(i) + if len(dic.get(tmp)) == 5: + return dic.get(tmp) + else: + dic.update({tmp:[i]}) + i += 1 + + +xx = main() +print xx +for i in xx: + print i ** 3 diff --git a/python/63.py b/python/63.py new file mode 100644 index 0000000..1e75f93 --- /dev/null +++ b/python/63.py @@ -0,0 +1,9 @@ +from math import log10 +total = [1] +for i in xrange(2, 10): + n = 1 + tmp = log10(i) + while int(n * tmp) + 1 == n: + total.append(i ** n) + n += 1 +print total diff --git a/python/64.py b/python/64.py new file mode 100644 index 0000000..e7aab8c --- /dev/null +++ b/python/64.py @@ -0,0 +1,29 @@ +def div(sq, sub, quo): + return (sq ** 0.5 + sub) / quo + + +def cor(x): + a = 0 + b = 1 + v = 0 + out = [] + ab = [] + while 1: + v = int(div(x, a, b)) + tmp = b * v - a + b = (x - tmp ** 2) / b + a = tmp + ab.append((a,b)) + out.append(v) + num = ab.index((a,b)) + 1 + if num != len(ab): + return (out[:num], out[num:]) + + + +total = 0 +for i in xrange(2, 10001): + if int(i ** 0.5) ** 2 != i: + if len(cor(i)[1]) % 2: + total += 1 +print tota diff --git a/python/65.py b/python/65.py new file mode 100644 index 0000000..fcd97c3 --- /dev/null +++ b/python/65.py @@ -0,0 +1,25 @@ +maxx = 99 + +a = [1] * maxx +for i in xrange(1, maxx, 3): + a[i] = ((i - 1) / 3 + 1) * 2 + +a.reverse() + + +x = [0, 1] +n = 0 +for i in a: + x[n % 2] += i * x[(n + 1) % 2] + n += 1 + +x[n % 2] += 2 * x[(n + 1) % 2] + +def sum(x): + out = 0 + while x != 0: + out += x %10 + x /= 10 + return out + +print sum(x[n % 2]) diff --git a/python/66.py b/python/66.py new file mode 100644 index 0000000..307ed88 --- /dev/null +++ b/python/66.py @@ -0,0 +1,53 @@ +def issq(x): + sqr = int(x ** 0.5) + if sqr ** 2 == x: + return True + return False + +def div(sq, sub, quo): + return (sq ** 0.5 + sub) / quo + + +def cor(x): + a = 0 + b = 1 + v = 0 + out = [] + ab = [] + while 1: + v = int(div(x, a, b)) + tmp = b * v - a + b = (x - tmp ** 2) / b + a = tmp + ab.append((a,b)) + out.append(v) + num = ab.index((a,b)) + 1 + if num != len(ab): + return out + + +def pair(lis): + a = 1 + b = lis[0] + for i in lis[1:]: + a, b = b, b * i + a + return (a,b) + +def sol(x): + if issq(x): return (0, 0) + pp = pair(cor(x)[-2::-1]) + a = pp[0] + b = pp[1] + if b ** 2 - x * a ** 2 == 1: + return (a, b) + else: + return (2 * a * b, b ** 2 + x * a ** 2) + +maxx = [0, 0] + +for i in xrange(2,1001): + tmp = sol(i)[1] + if tmp > maxx[0]: + maxx = [tmp, i] + +print maxx diff --git a/python/67.py b/python/67.py new file mode 100644 index 0000000..7cc807b --- /dev/null +++ b/python/67.py @@ -0,0 +1,44 @@ +a = [] + +ff = open('triangle.txt', 'r') +for i in ff.readlines(): + tmp = i.split(' ') + for j in xrange(len(tmp)): + tmp[j] = int(tmp[j]) + a.append(tmp) +ff.close() + + +path = a[-1][:] +for i in xrange(len(a) - 2, 0, -1): + newpath = [] + for j in xrange(i + 1): + better = max(path[j], path[j + 1]) + newpath.append(a[i][j] + better) + path = newpath +print max(path) + a[0][0] + + +''' +path = [[a[0][0], [a[0][0]]]] +for i in xrange(1, len(a)): + newpath = [] + tmp = path[0][1][:] + tmp.append(a[i][0]) + newpath.append([path[0][0] + a[i][0], tmp]) + for j in xrange(1, i): + flag = (path[j - 1][0] > path[j][0]) and -1 or 0 + tmp = path[j + flag][1][:] + tmp.append(a[i][j]) + newpath.append([path[j + flag][0] + a[i][j], tmp]) + tmp = path[i - 1][1][:] + tmp.append(a[i][i]) + newpath.append([path[i - 1][0] + a[i][i], tmp]) + path = newpath + +maxx = [0, 0] +for i in path: + if i[0] > maxx[0]: + maxx = i +print maxx +''' \ No newline at end of file diff --git a/python/69.py b/python/69.py new file mode 100644 index 0000000..12b9a61 --- /dev/null +++ b/python/69.py @@ -0,0 +1,51 @@ +def makeP(x): + p = [2] + P = [2] + n = 3 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while p[-1] ** 2 < n: + p.append(P[len(p)]) + return P + +prime = makeP(1000) + +def factor(x): + dic = {} + for i in prime: + if i ** 2 > x: + break + if x % i == 0: + tmp = 0 + while x % i == 0: + tmp += 1 + x /= i + dic.update({i:tmp}) + if x != 1: + dic.update({x:1}) + return dic + + +def phi(x): + ff = factor(x) + out = 1 + for i in ff.keys(): + #print (i - 1) * i ** (ff.get(i) - 1) + out *= (i - 1) * i ** (ff.get(i) - 1) + return out + + + +maxx = [0, 0] +for i in xrange(2, 1000001): + if i % 100000 == 0: + print i + tmp = float(i) / phi(i) + if tmp > maxx[0]: + maxx = [tmp, i] +print maxx diff --git a/python/7.py b/python/7.py new file mode 100644 index 0000000..858bcce --- /dev/null +++ b/python/7.py @@ -0,0 +1,23 @@ +# coding=utf-8 +''' By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. +What is the 10 001st prime number? ''' + +import math + +def countp(count): + if count == 1: return 2 + prime = [2] + x = 1 + while 1: + for i in xrange(x ** 2 + (x + 1) % 2, (x + 1) ** 2, 2): + for p in prime: + if i % p == 0: break + else: count -= 1 + if count == 0: return i + x += 1 + for p in prime: + if x % p == 0: break + else: prime.append(x) + +if __name__ == '__main__': + print countp(10001) diff --git a/python/70.py b/python/70.py new file mode 100644 index 0000000..cc7bfa2 --- /dev/null +++ b/python/70.py @@ -0,0 +1,54 @@ +maxx = 10000000 + +def mkp(x): + P = [2] + p = [2] + n = 3 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +prime = mkp(2 * maxx ** 0.5) + +p = maxx ** 0.5 +pi = 0 +for i in xrange(len(prime)): + if prime[i] > p: + pi = i + break +q = maxx / p +qi = 0 + +nn, dndn = 0, 1 + +while pi > 1: + pi -= 1 + p = prime[pi] + q = maxx / p + for i in xrange(len(prime) - 1, pi, -1): + if prime[i] < q: + qi = i + 1 + break + while qi > pi: + qi -= 1 + q = prime[qi] + n = p * q + if n > maxx: + continue + dn = p + q - 1 + if n * dndn > nn * dn: + sn = str(n) + sdn = str(n - dn) + if sorted(sn) == sorted(sdn): + nn = n + dndn = dn + break + +print nn \ No newline at end of file diff --git a/python/71.py b/python/71.py new file mode 100644 index 0000000..cba94b9 --- /dev/null +++ b/python/71.py @@ -0,0 +1,15 @@ +f = lambda x: 3 * x / 7 +gcd = lambda x, y: (y == 0) and x or gcd(y, x % y) + +maxx = [1] * 3 + +for i in xrange(1, 1000001): + if i % 7 == 0: + continue + tmpi = f(i) + if gcd(i, tmpi) == 1: + tmp = 3.0 / 7 - float(tmpi) / i + if tmp < maxx[0]: + maxx = [tmp, tmpi, i] + +print maxx diff --git a/python/72.py b/python/72.py new file mode 100644 index 0000000..474fc59 --- /dev/null +++ b/python/72.py @@ -0,0 +1,35 @@ +def phi(x, lis): + out = 1 + for p in lis: + if x % p == 0: + k = 0 + while x % p == 0: + k += 1 + x /= p + out *= p ** (k - 1) * (p - 1) + if x <= p ** 2: + if x == 1: + return out + return out * (x - 1) + +def makep(x): + p = [2] + P = [2] + n = 3 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +prime = makep(1010) +total = 0 +for i in xrange(2, 1000001): + total += phi(i, prime) +print total + diff --git a/python/73.py b/python/73.py new file mode 100644 index 0000000..c125ddb --- /dev/null +++ b/python/73.py @@ -0,0 +1,10 @@ +gcd = lambda x, y: y == 0 and x or gcd(y, x % y) + + +total = 0 +for i in xrange(12001): + for j in xrange(i / 3 + 1, i / 2 + i % 2): + if gcd(i, j) == 1: + total += 1 + +print total diff --git a/python/74.py b/python/74.py new file mode 100644 index 0000000..5afe993 --- /dev/null +++ b/python/74.py @@ -0,0 +1,38 @@ +def mul(x): + out = 1 + while x != 1 and x != 0: + out *= x + x -= 1 + return out + +def next(x): + out = 0 + while x != 0: + out += mul(x % 10) + x /= 10 + return out + + +def make(x): + out = [x] + while 1: + tmp = next(out[-1]) + if out.count(tmp): + return out + out.append(tmp) + + +total = [] +bak = [] +for i in xrange(1, 2000):#1000001): + if bak.count(next(i)): + print i, bak + total.append([i, next(i)]) + continue + tmp = make(i) + if len(tmp) >= 60: + print i, tmp + total.append(tmp) + bak.append(tmp[1]) + +print total diff --git a/python/75.py b/python/75.py new file mode 100644 index 0000000..9a25b6c --- /dev/null +++ b/python/75.py @@ -0,0 +1,41 @@ +gcd_ori = lambda x, y: y == 0 and x or gcd_ori(y, x % y) + +def gcd(lis): + out = lis[0] + for i in lis: + out = gcd_ori(out, i) + return out + +def calc(i, j): + return (i ** 2 - j ** 2, 2 * i * j, i ** 2 + j ** 2) + +def make(x): + out = [] + for i in xrange(2, int(x ** 0.5)): + for j in xrange(1, i): + c = calc(i, j) + if gcd(c) == 1: + out.append(sum(c)) + return out + + +maxx = 1500000 +unit = make(maxx) +out = set([]) +delete = set([]) +for i in unit: + n = 1 + while 1: + tmp = i * n + if tmp > maxx: + break + if tmp in out: + out.remove(tmp) + delete.add(tmp) + else: + if not tmp in delete: + out.add(tmp) + n += 1 + + +print len(out) diff --git a/python/76.py b/python/76.py new file mode 100644 index 0000000..35d5de2 --- /dev/null +++ b/python/76.py @@ -0,0 +1,21 @@ +a = [0, 1, 2] +dic = {(2, 1): 1} +maxx = 100 + +from sys import argv +if len(argv) > 0: + maxx = int(argv[1]) + +def get(x, y): + if y >= x: + return a[x] + return dic.get((x, y)) + +for n in xrange(3, maxx + 1): + tmp = 0 + for i in xrange(1, n): + tmp += get(n - i, i) + dic.update({(n, i): tmp}) + a.append(tmp + 1) + +print a[-1] - 1 diff --git a/python/77.py b/python/77.py new file mode 100644 index 0000000..4a1c631 --- /dev/null +++ b/python/77.py @@ -0,0 +1,40 @@ +def mkp(x): + P = [2] + p = [2] + n = 3 + while n < x: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +def get(x, y): + if x <= y: + return a[x] + return dic.get((x, y)) + +maxx = 5000 + +prime = mkp(10000) + +a = [0, 0, 1, 1, 1, 2] +dic = {(4, 3):1, (4, 2):1, (5, 3):1, (5, 2):0} +n = 5 +while a[-1] <= maxx: + n += 1 + tmp = 0 + for i in prime: + if i > n: + break + tmp += get(n - i, i) + #print n - i, i, get(n - i, i) + dic.update({(n, i):tmp}) + if n in prime: + tmp += 1 + a.append(tmp) +print len(a) - 1 \ No newline at end of file diff --git a/python/78.py b/python/78.py new file mode 100644 index 0000000..935c085 --- /dev/null +++ b/python/78.py @@ -0,0 +1,19 @@ +a = [0, 1, 2] +dic = {(2, 1): 1} +maxx = 1000 + +def get(x, y): + if y >= x: + return a[x] + return dic.get((x, y)) + +for n in xrange(3, maxx + 1): + tmp = 0 + for i in xrange(1, n): + tmp += get(n - i, i) + dic.update({(n, i): tmp}) + a.append(tmp + 1) + +for i in xrange(len(a)): + if a[i] % 10 == 0: + print i, a[i] \ No newline at end of file diff --git a/python/8.py b/python/8.py new file mode 100644 index 0000000..c7d0ac4 --- /dev/null +++ b/python/8.py @@ -0,0 +1,19 @@ +# coding=utf-8 +''' Discover the largest product of five consecutive digits in the 1000-digit number. ''' + +def va(string): + x = 1 + for i in range(len(string)): + x *= ord(string[i]) - ord('0') + return x + +ch = '731671765313306249192251196744265747423553491949349698352031277450632623957831801698480186947885184385861560789112949495459501737958331952853208805511125406987471585238630507156932909632952274430435576689664895044524452316173185640309871112172238311362229893423380308135336276614282806444486645238749303589072962904915604407723907138105158593079608667017242712188399879790879227492190169972088809377665727333001053367881220235421809751254540594752243258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450' +max = [0, 0, ''] +for i in range(len(ch) - 5): + temp = va(ch[i : i + 5]) + if temp > max[1]: + max[0] = i + max[1] = temp + max[2] = ch[i : i + 5] + +print max diff --git a/python/80.py b/python/80.py new file mode 100644 index 0000000..3de185d --- /dev/null +++ b/python/80.py @@ -0,0 +1,37 @@ +from math import sqrt, log10 + + +def newton(a, n = 2): + x = 0 + x_ = int(sqrt(a)) + if x_ ** n == a: + return x_ + while abs(x - x_) > 1: + x = x_ + tmp = x ** (n - 1) + x_ = x - (tmp * x - a) / tmp / n + x_ = int(x_) + while x ** n > a: + x -= 1 + return x + + +def numsum(x): + total = 0 + while x != 0: + total += x % 10 + x /= 10 + return total + + +def main(maxx): + ss = 0 + for i in xrange(maxx + 1): + if int(sqrt(i)) ** 2 == i: + continue + tmp = newton(i * 100 ** 99) + ss += numsum(tmp) + print ss + + + diff --git a/python/81.py b/python/81.py new file mode 100644 index 0000000..acef8ba --- /dev/null +++ b/python/81.py @@ -0,0 +1,43 @@ +a = [] +ff = open('matrix.txt.', 'r') +for i in ff.readlines(): + tmp = i.split(',') + for j in xrange(len(tmp)): + tmp[j] = int(tmp[j]) + a.append(tmp) +ff.close() + +path = [[a[0][0], [a[0][0]]]] +n = len(a) + +for k in xrange(1, n): + pathtmp = [] + tmp = [a[k][0] + path[0][0], path[0][1][:]] + tmp[1].append(a[k][0]) + pathtmp.append(tmp) + for i in xrange(1, k): + if path[i - 1][0] < path[i][0]: + flag = i - 1 + else: + flag = i + tmp = [path[flag][0] + a[k - i][i], path[flag][1][:]] + tmp[1].append(a[k - i][i]) + pathtmp.append(tmp) + tmp = [a[0][k] + path[k - 1][0], path[k - 1][1][:]] + tmp[1].append(a[0][k]) + pathtmp.append(tmp) + path = pathtmp + +for k in xrange(n, 2 * n - 1): + pathtmp = [] + for i in xrange(2 * n - 1 - k): + if path[i][0] < path[i + 1][0]: + flag = i + else: + flag = i + 1 + tmp = [path[flag][0] + a[n - 1 - i][k + i + 1 - n], path[flag][1][:]] + tmp[1].append(a[n - 1 - i][k + i + 1 - n]) + pathtmp.append(tmp) + path = pathtmp + +print path diff --git a/python/82.py b/python/82.py new file mode 100644 index 0000000..9bf204c --- /dev/null +++ b/python/82.py @@ -0,0 +1,88 @@ +a = [] +ff = open('../matrix.txt', 'r') +for i in ff.readlines(): + tmp = i.split(',') + for j in xrange(len(tmp)): + tmp[j] = int(tmp[j]) + a.append(tmp) +ff.close() + +n = len(a) + +path = [] +for i in xrange(n): + path.append([a[i][-1] + a[i][-2], []]) + +for j in xrange(n - 3, -1, -1): + #newpath = [a[0][j] + min(path[0][0], a[1][j] + path[1][0])] + if path[0][0] <= a[1][j] + path[1][0]: + tmp = path[0][1] + [(0, j)] + newpath.append([path[0][0] + a[0][j], tmp]) + else: + tmp = path[1][1] + [(1, j), (0, j)] + newpath.append([path[1][0] + a[1][j] + a[0][j], tmp]) + for i in xrange(1, n - 1): + better = min(a[i - 1][j] + path[i - 1][0], path[i][0], a[i + 1][j] + path[i + 1][0]) + #newpath.append(a[i][j] + better) + if better == path[i][0]: + tmp = path[i][1] + [(i, j)] + newpath.append([path[i][0] + a[i][j], tmp]) + elif better == a[i - 1][j] + path[i - 1][0]: + tmp = path[i - 1][1] + [(i - 1, j), (i, j)] + newpath.append([]) + #newpath.append(a[-1][j] + min(path[-1], a[-2][j] + path[-2])) + if path[-1][0] <= a[-2][j] + path[-2][0]: + tmp = path[-1][1] + [(n - 1, j)] + newpath.append([a[-1][j] + path[-1][0], tmp]) + else: + tmp = path[-1][1] + [(n - 2, j), (n - 1, j)] + newpath.append([a[-1][j] + a[-2][j] + path[-2][0], tmp]) + path = newpath + + +print sorted(path) + +''' + +path = [] +for i in xrange(n): + path.append([a[i][0], [[i, 0]]]) + + +for y in xrange(1, n): + pathtmp = [] + for x in xrange(n): + tmp = [[0, 0]] + #papapa = 0 + if x - 1 >= 0: + if a[x - 1][y] < a[x][y - 1]: + tmp.append([a[x - 1][y], -1, [x - 1, y]]) + path[x] = + else: + if not [x, y - 1] in path[x - 1][1]: + tmp.append([a[x][y - 1], -1, [x, y - 1]]) + #else: + #papapa += 1 + if x + 1 < n: + if a[x + 1][y] < a[x][y - 1]: + tmp.append([a[x + 1][y], 1, [x + 1, y]]) + else: + if not [x, y - 1] in path[x + 1][1]: + tmp.append([a[x][y - 1], 1, [x, y - 1]]) + #else: + #papapa += 2 + for item in tmp: + item[0] += path[x + item[1]][0] + tmp.sort() + #if papapa != 0: + #print papapa, "**", tmp + if len(tmp[0]) > 2: + last = [tmp[0][-1], [x, y]] + else: + last = [[x, y]] + pathtmp.append([tmp[0][0] + a[x][y], path[x + tmp[0][1]][1] + last]) + path = pathtmp + +path.sort() +print path[0] +''' diff --git a/python/85.py b/python/85.py new file mode 100644 index 0000000..583fbe7 --- /dev/null +++ b/python/85.py @@ -0,0 +1,24 @@ +def sum(m, n): + return m * n * (m + 1) * (n + 1) / 4 + +maxx = 2000000 +x = int((8 * maxx + 1) ** 0.5 / 2) +while sum(x, 1) < maxx: x += 1 + +orisub = abs(sum(x, 1) - maxx) +near = [orisub] +y = 1 + +while x > y: + tmp = maxx + y_lst = y + while tmp > maxx - orisub and y > 0: + tmp = sum(x, y) + if abs(tmp - maxx) < near[0]: + near = [abs(tmp - maxx), x, y] + y -= 1 + x -= 1 + y = y_lst + while sum(x, y) < maxx: y += 1 + +print near[1] * near[2] diff --git a/python/86.py b/python/86.py new file mode 100644 index 0000000..b639930 --- /dev/null +++ b/python/86.py @@ -0,0 +1,31 @@ +def test_ori(a, b): + tmp = a ** 2 + b ** 2 + sqr = int(tmp ** 0.5) + if tmp == sqr ** 2: return True + return False + +def test(a, b, c): + if test_ori(b + c, a): return 1 + return 0 + +def test1(a, b): + if test_ori(b + b, a): return 1 + return 0 + +total = 1975 +n = 100 +while 1: + tmp = 0 + for i in xrange(2, 2 * n + 1): + if test_ori(n, i): + #print i + tmp += i / 2 + if i > n: + tmp -= i - n - 1 + total += tmp + if total > 1000000: + break + #print n, tmp, total + n += 1 + +print n diff --git a/python/87.py b/python/87.py new file mode 100644 index 0000000..a9cd526 --- /dev/null +++ b/python/87.py @@ -0,0 +1,36 @@ +def makep(x): + P = [2] + p = [2] + n = 3 + while x > n: + for i in p: + if n % i == 0: + break + else: + P.append(n) + n += 2 + while n > p[-1] ** 2: + p.append(P[len(p)]) + return P + +maxx = 50000000 + +prime = makep(int(maxx ** 0.5)) + +def make(x, y, z): + return x ** 2 + y ** 3 + z ** 4 + +out = set([]) + +for i in prime: + for j in prime: + for k in prime: + tmp = make(i, j, k) + if tmp > maxx: + break + out.add(tmp) + if make(i, j, 2) > maxx: + break + if make(i, 2, 2) > maxx: + break +print len(out) diff --git a/python/88.py b/python/88.py new file mode 100644 index 0000000..be12ef0 --- /dev/null +++ b/python/88.py @@ -0,0 +1,16 @@ +def log2(x): + out = 0 + while x > 0: + x /= 2 + out += 1 + return out - 1 + +def break(x): + x -= 1 + n = int(x ** 0.5) + while x % n != 0: + n -= 1 + return (n, x / n) + +def A(k): + dd diff --git a/python/89.py b/python/89.py new file mode 100644 index 0000000..389bd79 --- /dev/null +++ b/python/89.py @@ -0,0 +1,42 @@ +dic = {'I':1, 'V':5, 'X':10, 'L':50, 'C':100, 'D':500, 'M':1000} +rdic = {1:'I', 2:'II', 3:'III', 4:'IV', 5:'V', 6:'VI', 7:'VII', 8:'VIII', 9:'IX', + 10:'X', 20:'XX', 30:'XXX', 40:'XL', 50:'L', 60:'LX', 70:'LXX', 80:'LXXX', + 90:'XC', 100:'C', 200:'CC', 300:'CCC', 400:'CD', 500:'D', 600:'DC', + 700:'DCC', 800:'DCCC', 900:'CM', 1000:'M'} + +def rtoi(ss): + out = dic.get(ss[-1]) + for i in xrange(len(ss) - 1): + if dic.get(ss[i]) < dic.get(ss[i + 1]): + out -= dic.get(ss[i]) + else: + out += dic.get(ss[i]) + return out + +def itor(num): + out = '' + thousand = num - num % 1000 + if num > 0: + out += rdic.get(1000) * (thousand / 1000) + num %= 1000 + hundred = num - num % 100 + if hundred > 0: + out += rdic.get(hundred) + num %= 100 + teen = num - num % 10 + if teen > 0: + out += rdic.get(teen) + num %= 10 + if num > 0: + out += rdic.get(num) + return out + +ff = open('../roman.txt', 'r') +lis = ff.readlines() +ff.close() + +count = 0 +for i in lis: + new = itor(rtoi(i.rstrip())) + count += abs(len(new) - len(i.rstrip())) +print count diff --git a/python/9.py b/python/9.py new file mode 100644 index 0000000..bf1284d --- /dev/null +++ b/python/9.py @@ -0,0 +1,8 @@ +# coding=utf-8 +''' A Pythagorean triplet is a set of three natural numbers, a b c, for which, +a^2 + b^2 = c^2 +For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2. +There exists exactly one Pythagorean triplet for which a + b + c = 1000. +Find the product abc. ''' + +import math diff --git a/python/91.py b/python/91.py new file mode 100644 index 0000000..c111985 --- /dev/null +++ b/python/91.py @@ -0,0 +1,25 @@ +from sys import argv + +n = int(argv[1]) +total = 3 * n ** 2 + +if n % 2 == 0: + total += n + +total += (n - 1) / 2 * n + +def gcd(x, y): + if y == 0: + return x + return gcd(y, x % y) + +for i in xrange(1, n - 1): + for j in xrange(i + 1, n + 1): + d = gcd(i, j) + i_ = i / d + j_ = j / d + total += min((n - i) / j_, j / i_) * 2 + total += min((n - j) / i_, i / j_) * 2 + + +print total diff --git a/python/92.py b/python/92.py new file mode 100644 index 0000000..e556835 --- /dev/null +++ b/python/92.py @@ -0,0 +1,58 @@ +maxx = 7 + +def make_iter(x, a, l, lis): + for i in xrange(a % 10, 10): + if l == x - 1: + lis.append(a * 10 + i) + else: + make_iter(x, a * 10 + i, l + 1, lis) + +def make(x): + if x == 1: + return [1,2,3,4,5,6,7,8,9] + out = [] + for i in xrange(1, 10): + make_iter(x - 1, i, 0, out) + return out + +#print make(5) + +def calc(x): + while 1: + a = 0 + while x != 0: + a += (x % 10) ** 2 + x /= 10 + if a == 1 or a == 89: + return a + else: + x = a + +#print calc(44) + +def fac(x): + out = 1 + for i in xrange(2, x + 1): + out *= i + return out + +def alanum(x): + x = str(x) + out = 1 + for i in xrange(maxx, maxx - len(x), -1): + out *= i + for i in set('.'.join(x).split('.')): + tmp = x.count(i) + if tmp > 1: + out /= fac(tmp) + return out + +#print alanum(113) + +count = 0 +for length in xrange(1, maxx + 1): + tmp = make(length) + for xx in tmp: + if calc(xx) == 89: + count += alanum(xx) +print count diff --git a/python/93.py b/python/93.py new file mode 100644 index 0000000..a554ca3 --- /dev/null +++ b/python/93.py @@ -0,0 +1,60 @@ +def two(a, b): + out = set([]) + out.add(a + b) + out.add(a * b) + '''if a != b: + out.add(abs(a - b))''' + out.add(a - b) + out.add(b - a) + if a != 0: + out.add(b / float(a)) + if b != 0: + out.add(a / float(b)) + return out + +def three(a, b, c): + out = set([]) + for i in two(a, b): + out |= two(i, c) + for i in two(a, c): + out |= two(i, b) + for i in two(b, c): + out |= two(i, a) + return out + +def four(a, b, c, d): + first = two(a, b) + second = two(c, d) + out = set([]) + for i in first: + out |= three(i, c, d) + for j in second: + out |= two(i, j) + for j in second: + out |= three(j, a, b) + return out + +def calc(a, b, c, d): + tmp = set([]) + tmp |= four(a, b, c, d) + tmp |= four(a, c, b, d) + tmp |= four(a, d, b, c) + out = [] + for i in tmp: + if i == int(i) > 0: + out.append(int(i)) + return sorted(out) + + +maxx = [0, 0] +for m in xrange(1, 10): + for n in xrange(m + 1, 10): + for s in xrange(n + 1, 10): + for t in xrange(s + 1, 10): + tmp = calc(m, n, s, t) + for i in xrange(len(tmp)): + if i + 1 != tmp[i]: + break + if i > maxx[0]: + maxx = [i, (m, n, s, t)] +print maxx diff --git a/python/94.py b/python/94.py new file mode 100644 index 0000000..71baa72 --- /dev/null +++ b/python/94.py @@ -0,0 +1,31 @@ +maxx = 1000000000 + +mul = 3 ** 0.5 +n = 0 +C = 0 +total = 0 +while 1: + n += 1 + m = int((mul + 2) * n) + m += 1 - (m + n) % 2 + C = 2 * (m + n) ** 2 + if C > maxx: break + if abs((m - n) ** 2 - 2 * m * n) == 1: + print 4 * m * n, m ** 2 + n ** 2 + total += C + +n = 0 +C = 0 +while 1: + n += 1 + m = int(mul * n) + m += 1 - (m + n) % 2 + xx = m ** 2 + yy = n ** 2 + C = 4 * xx + if C > maxx: break + if abs(xx - 3 * yy) == 1: + print 2 * (xx - yy), xx + yy + total += C + +print total diff --git a/python/96.py b/python/96.py new file mode 100644 index 0000000..62b651c --- /dev/null +++ b/python/96.py @@ -0,0 +1,201 @@ +from copy import deepcopy + +n = 3 +maxx = n ** 2 +allc = list(xrange(1, maxx + 1)) +for i in xrange(len(allc)): + allc[i] = str(allc[i]) + +area = [] +for x in xrange(maxx): + area.append([(x, i) for i in xrange(maxx)]) +for y in xrange(maxx): + area.append([(i, y) for i in xrange(maxx)]) +for i in xrange(n): + for j in xrange(n): + area.append([(x, y) for x in xrange(n * i, n * i + n) for y in xrange(n * j, n * j + n)]) + + + +def psh(x): + return [(x, i) for i in xrange(maxx)] + +def psv(y): + return [(i, y) for i in xrange(maxx)] + +def psb(x, y): + x0 = x // n * n + y0 = y // n * n + return [(i, j) for i in xrange(x0, x0 + n) for j in xrange(y0, y0 + n)] + +def unit(x, y, flag = 4): + out = set([]) + if flag == 1 or flag > 3: + for i in xrange(maxx): + out.add((x, i)) + if flag == 2 or flag > 3: + for i in xrange(maxx): + out.add((i, y)) + if flag == 3 or flag > 3: + x0 = x // n * n + y0 = y // n * n + for i in xrange(x0, x0 + n): + for j in xrange(y0, y0 + n): + out.add((i, j)) + return list(out) + + +def psudo(matrix): + for i in xrange(maxx): + for j in xrange(maxx): + if j % n == 0: + #print(' ', end='') + print '', + print matrix[i][j] + ' ',# end='') + print('') + if i % n == n - 1: + print('') + + + +def get(point, matrix): + out = set([]) + for i in point: + out.add(matrix[i[0]][i[1]]) + out.discard('0') + return out + + +def init(matrix): + out = {} + haveh = [get(psh(i), matrix) for i in xrange(maxx)] + havev = [get(psv(i), matrix) for i in xrange(maxx)] + haveb = [[get(psb(i * n, j * n), matrix) for j in xrange(n)] for i in xrange(n)] + for i in xrange(maxx): + for j in xrange(maxx): + if matrix[i][j] == '0': + tmp = set(allc) + tmp -= haveh[i] + tmp -= havev[j] + tmp -= haveb[i // n][j // n] + out.update({(i, j): tmp}) + return out + + +def rmkey(k, dic, matrix, value = ''): + tmp = list(dic[k])[0] + if len(value) == 1: + tmp = value + dic.pop(k) + matrix[k[0]][k[1]] = tmp + for p in unit(k[0], k[1]): + if p in dic.keys(): + dic[p].discard(tmp) + + +def one(dic, matrix): + while 1: + for k in dic.keys(): + if len(dic[k]) == 1: + rmkey(k, dic, matrix) + break + else: + return + + +def getd(dic): + for i in sorted(dic): + print i, dic[i] + + + +def diff(dic, matrix): + if len(dic.keys()) < 2: + return + for parea in area: + pnow = parea[:] + tt = [] + have = set([]) + for pp in parea: + if pp in dic.keys(): + tt.extend(list(dic[pp])) + have |= dic[pp] + else: + pnow.remove(pp) + for i in have: + if tt.count(i) == 1: + for thek in pnow: + try: + if i in dic[thek]: + rmkey(thek, dic, matrix, i) + except: + pass + #print thek + #getd(dic) + #psudo(matrix) + #continue + + +def esay(dic, matrix, trytime = 20): + limit = 0 + #out = ''.join(matrix[0][:n]) + while limit < trytime: #'0' in out and + one(dic, matrix) + diff(dic, matrix) + #out = ''.join(matrix[0][:n]) + limit += 1 + #psudo(matrix) + if limit < trytime: + return True + else: + for test in dic.values(): + if len(test) < 1: + return False + return True + + +def solve(matrix, trytime = 10): + dicc = init(matrix) + out = ''.join(matrix[0][:n]) + limit = 0 + while '0' in out: + limit += 1 + if limit > trytime: + for p in dicc.keys(): + if len(dicc[p]) == 2: + matrix_ = deepcopy(matrix) + dicc_ = deepcopy(dicc) + rmkey(p, dicc_, matrix_, list(dicc[p])[0]) + if esay(dicc_, matrix_): + dicc = dicc_ + matrix = matrix_ + else: + rmkey(p, dicc, matrix, list(dicc[p])[1]) + limit = 0 + break + else: + break + if esay(dicc, matrix): + out = ''.join(matrix[0][:n]) + limit += 1 + return int(out) + + +def main(): + ff = open('sudoku.txt', 'r') + nums = 0 + total = 0 + while nums < 50: + ff.readline() + aa = [] + nums += 1 + for i in xrange(maxx): + aa.append('.'.join(ff.readline().strip()).split('.')) + + tmp = solve(aa) + print tmp + total += tmp + + print '***', total + +main() diff --git a/python/97.py b/python/97.py new file mode 100644 index 0000000..c0567d3 --- /dev/null +++ b/python/97.py @@ -0,0 +1,19 @@ +def powmod(x, y, z): + ybi = [] + while y != 0: + ybi.append(y % 2) + y /= 2 + out = 1 + ybi.reverse() + for i in ybi: + out = out * out % z + if i == 1: + out = out * x % z + return out + + +a = powmod(2, 7830457, 100000000000) +b = a * 28433 + 1 +b %= 10000000000 + +print b diff --git a/python/98.py b/python/98.py new file mode 100644 index 0000000..4262062 --- /dev/null +++ b/python/98.py @@ -0,0 +1,115 @@ +ff = open('../words.txt', 'r') +ww = ff.readline() +ff.close() + +longest = 0 +dic = {} +lisw = ww.split(',') +for i in lisw: + i = i[1:-1] + if len(i) > 2: + tmp = '.'.join(i).split('.') + tmp = ''.join(sorted(tmp)) + if tmp in dic.keys(): + dic.get(tmp).append(i) + else: + dic.update({tmp:[i]}) + + +move = [] + +dicmove = {} + +def howtomove(a, b): + tmp = '' + for i in a: + tmp += str(b.index(i)) + if dicmove.has_key(tmp): + dicmove.get(tmp).append([a, b]) + else: + dicmove.update({tmp:[[a, b]]}) + return tmp + +def howtolis(lis): + out = set([]) + for i in lis: + for j in lis: + if i != j: + tmp = howtomove(i, j) + out.add(tmp) + return list(out) + +words = [] + + +for i in dic.keys(): + if len(dic.get(i)) > 1: + wordlen = len(i) + while len(move) - 1 < wordlen: + move.append([]) + words.append([]) + move[wordlen].extend(howtolis(dic.get(i))) + words[wordlen].extend(dic.get(i)) + +#print words +#print move + +def movenum(num, mm): + out = '' + num = str(num) + for i in xrange(len(mm)): + try: + out += num[int(mm[i])] + except IndexError: + return 3 + return int(out) + + +def issq(x): + tmp = int(x ** 0.5) + if tmp ** 2 == x: + return True + return False + +result = [] +length = len(move[-1][0]) +#print length +n = int((10 ** length) ** 0.5) +while length > 1 and n > 0: + sq = n ** 2 + length = len(str(sq)) + while len(move[length]) <= 0: + length -= 1 + n = int((10 ** length) ** 0.5) + for moveit in move[length]: + newsq = movenum(sq, moveit) + if len(str(sq)) == len(str(newsq)): + if issq(newsq): + #print sq, newsq + result.append([sq, dicmove.get(moveit)[0][0]]) + #if len(str(result[-1])) != len(str(result[0])): + #break + n -= 1 + +#print result + +for item in result: + nums = str(item[0]) + dicju1 = {} + dicju2 = {} + for i in xrange(len(item[1])): + numm = nums[i] + chh = item[1][i] + if numm in dicju1.keys(): + if chh != dicju1.get(numm): + break + else: + dicju1.update({numm:chh}) + if chh in dicju2.keys(): + if numm != dicju2.get(numm): + break + else: + dicju2.update({chh:numm}) + else: + print nums + quit() \ No newline at end of file diff --git a/python/99.py b/python/99.py new file mode 100644 index 0000000..5b04e39 --- /dev/null +++ b/python/99.py @@ -0,0 +1,16 @@ +ff = open('../base_exp.txt', 'r') +lis = ff.readlines() +ff.close() + +from math import log10 + +maxx = [0, 0] +for i in xrange(len(lis)): + tmp = lis[i].split(',') + base = int(tmp[0]) + power = int(tmp[1]) + loga = power * log10(base) + if loga > maxx[0]: + maxx = [loga, i + 1] + +print maxx diff --git a/roman.txt b/roman.txt new file mode 100644 index 0000000..50651c3 --- /dev/null +++ b/roman.txt @@ -0,0 +1,1000 @@ +MMMMDCLXXII +MMDCCCLXXXIII +MMMDLXVIIII +MMMMDXCV +DCCCLXXII +MMCCCVI +MMMCDLXXXVII +MMMMCCXXI +MMMCCXX +MMMMDCCCLXXIII +MMMCCXXXVII +MMCCCLXXXXIX +MDCCCXXIIII +MMCXCVI +CCXCVIII +MMMCCCXXXII +MDCCXXX +MMMDCCCL +MMMMCCLXXXVI +MMDCCCXCVI +MMMDCII +MMMCCXII +MMMMDCCCCI +MMDCCCXCII +MDCXX +CMLXXXVII +MMMXXI +MMMMCCCXIV +MLXXII +MCCLXXVIIII +MMMMCCXXXXI +MMDCCCLXXII +MMMMXXXI +MMMDCCLXXX +MMDCCCLXXIX +MMMMLXXXV +MCXXI +MDCCCXXXVII +MMCCCLXVII +MCDXXXV +CCXXXIII +CMXX +MMMCLXIV +MCCCLXXXVI +DCCCXCVIII +MMMDCCCCXXXIV +CDXVIIII +MMCCXXXV +MDCCCXXXII +MMMMD +MMDCCLXIX +MMMMCCCLXXXXVI +MMDCCXLII +MMMDCCCVIIII +DCCLXXXIIII +MDCCCCXXXII +MMCXXVII +DCCCXXX +CCLXIX +MMMXI +MMMMCMLXXXXVIII +MMMMDLXXXVII +MMMMDCCCLX +MMCCLIV +CMIX +MMDCCCLXXXIIII +CLXXXII +MMCCCCXXXXV +MMMMDLXXXVIIII +MMMDCCCXXI +MMDCCCCLXXVI +MCCCCLXX +MMCDLVIIII +MMMDCCCLIX +MMMMCCCCXIX +MMMDCCCLXXV +XXXI +CDLXXXIII +MMMCXV +MMDCCLXIII +MMDXXX +MMMMCCCLVII +MMMDCI +MMMMCDLXXXIIII +MMMMCCCXVI +CCCLXXXVIII +MMMMCML +MMMMXXIV +MMMCCCCXXX +DCCX +MMMCCLX +MMDXXXIII +CCCLXIII +MMDCCXIII +MMMCCCXLIV +CLXXXXI +CXVI +MMMMCXXXIII +CLXX +DCCCXVIII +MLXVII +DLXXXX +MMDXXI +MMMMDLXXXXVIII +MXXII +LXI +DCCCCXLIII +MMMMDV +MMMMXXXIV +MDCCCLVIII +MMMCCLXXII +MMMMDCCXXXVI +MMMMLXXXIX +MDCCCLXXXI +MMMMDCCCXV +MMMMCCCCXI +MMMMCCCLIII +MDCCCLXXI +MMCCCCXI +MLXV +MMCDLXII +MMMMDXXXXII +MMMMDCCCXL +MMMMCMLVI +CCLXXXIV +MMMDCCLXXXVI +MMCLII +MMMCCCCXV +MMLXXXIII +MMMV +MMMV +DCCLXII +MMDCCCCXVI +MMDCXLVIII +CCLIIII +CCCXXV +MMDCCLXXXVIIII +MMMMDCLXXVIII +MMMMDCCCXCI +MMMMCCCXX +MMCCXLV +MMMDCCCLXIX +MMCCLXIIII +MMMDCCCXLIX +MMMMCCCLXIX +CMLXXXXI +MCMLXXXIX +MMCDLXI +MMDCLXXVIII +MMMMDCCLXI +MCDXXV +DL +CCCLXXII +MXVIIII +MCCCCLXVIII +CIII +MMMDCCLXXIIII +MMMDVIII +MMMMCCCLXXXXVII +MMDXXVII +MMDCCLXXXXV +MMMMCXLVI +MMMDCCLXXXII +MMMDXXXVI +MCXXII +CLI +DCLXXXIX +MMMCLI +MDCLXIII +MMMMDCCXCVII +MMCCCLXXXV +MMMDCXXVIII +MMMCDLX +MMMCMLII +MMMIV +MMMMDCCCLVIII +MMMDLXXXVIII +MCXXIV +MMMMLXXVI +CLXXIX +MMMCCCCXXVIIII +DCCLXXXV +MMMDCCCVI +LI +CLXXXVI +MMMMCCCLXXVI +MCCCLXVI +CCXXXIX +MMDXXXXI +MMDCCCXLI +DCCCLXXXVIII +MMMMDCCCIV +MDCCCCXV +MMCMVI +MMMMCMLXXXXV +MMDCCLVI +MMMMCCXLVIII +DCCCCIIII +MMCCCCIII +MMMDCCLXXXVIIII +MDCCCLXXXXV +DVII +MMMV +DCXXV +MMDCCCXCV +DCVIII +MMCDLXVI +MCXXVIII +MDCCXCVIII +MMDCLX +MMMDCCLXIV +MMCDLXXVII +MMDLXXXIIII +MMMMCCCXXII +MMMDCCCXLIIII +DCCCCLXVII +MMMCLXXXXIII +MCCXV +MMMMDCXI +MMMMDCLXXXXV +MMMCCCLII +MMCMIX +MMDCCXXV +MMDLXXXVI +MMMMDCXXVIIII +DCCCCXXXVIIII +MMCCXXXIIII +MMDCCLXXVIII +MDCCLXVIIII +MMCCLXXXV +MMMMDCCCLXXXVIII +MMCMXCI +MDXLII +MMMMDCCXIV +MMMMLI +DXXXXIII +MMDCCXI +MMMMCCLXXXIII +MMMDCCCLXXIII +MDCLVII +MMCD +MCCCXXVII +MMMMDCCIIII +MMMDCCXLVI +MMMCLXXXVII +MMMCCVIIII +MCCCCLXXIX +DL +DCCCLXXVI +MMDXCI +MMMMDCCCCXXXVI +MMCII +MMMDCCCXXXXV +MMMCDXLV +MMDCXXXXIV +MMD +MDCCCLXXXX +MMDCXLIII +MMCCXXXII +MMDCXXXXVIIII +DCCCLXXI +MDXCVIIII +MMMMCCLXXVIII +MDCLVIIII +MMMCCCLXXXIX +MDCLXXXV +MDLVIII +MMMMCCVII +MMMMDCXIV +MMMCCCLXIIII +MMIIII +MMMMCCCLXXIII +CCIII +MMMCCLV +MMMDXIII +MMMCCCXC +MMMDCCCXXI +MMMMCCCCXXXII +CCCLVI +MMMCCCLXXXVI +MXVIIII +MMMCCCCXIIII +CLXVII +MMMCCLXX +CCCCLXIV +MMXXXXII +MMMMCCLXXXX +MXL +CCXVI +CCCCLVIIII +MMCCCII +MCCCLVIII +MMMMCCCX +MCDLXXXXIV +MDCCCXIII +MMDCCCXL +MMMMCCCXXIII +DXXXIV +CVI +MMMMDCLXXX +DCCCVII +MMCMLXIIII +MMMDCCCXXXIII +DCCC +MDIII +MMCCCLXVI +MMMCCCCLXXI +MMDCCCCXVIII +CCXXXVII +CCCXXV 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+MCCCCLXXXVIIII +CDLVIII +DCCLVI +MMMMDCXXXVIII +MMCCCLXXXIII +MMMMDCCLXXV +MMMXXXVI +CCCLXXXXIX +CV +CCCCXIII +CCCCXVI +MDCCCLXXXIIII +MMDCCLXXXII +MMMMCCCCLXXXI +MXXV +MMCCCLXXVIIII +MMMCCXII +MMMMCCXXXIII +MMCCCLXXXVI +MMMDCCCLVIIII +MCCXXXVII +MDCLXXV +XXXV +MMDLI +MMMCCXXX +MMMMCXXXXV +CCCCLIX +MMMMDCCCLXXIII +MMCCCXVII +DCCCXVI +MMMCCCXXXXV +MDCCCCXCV +CLXXXI +MMMMDCCLXX +MMMDCCCIII +MMCLXXVII +MMMDCCXXIX +MMDCCCXCIIII +MMMCDXXIIII +MMMMXXVIII +MMMMDCCCCLXVIII +MDCCCXX +MMMMCDXXI +MMMMDLXXXIX +CCXVI +MDVIII +MMCCLXXI +MMMDCCCLXXI +MMMCCCLXXVI +MMCCLXI +MMMMDCCCXXXIV +DLXXXVI +MMMMDXXXII +MMMXXIIII +MMMMCDIV +MMMMCCCXLVIII +MMMMCXXXVIII +MMMCCCLXVI +MDCCXVIII +MMCXX +CCCLIX +MMMMDCCLXXII +MDCCCLXXV +MMMMDCCCXXIV +DCCCXXXXVIII +MMMDCCCCXXXVIIII +MMMMCCXXXV +MDCLXXXIII +MMCCLXXXIV +MCLXXXXIIII +DXXXXIII +MCCCXXXXVIII +MMCLXXIX +MMMMCCLXIV +MXXII +MMMCXIX +MDCXXXVII +MMDCCVI +MCLXXXXVIII +MMMCXVI +MCCCLX +MMMCDX +CCLXVIIII +MMMCCLX +MCXXVIII +LXXXII +MCCCCLXXXI +MMMI +MMMCCCLXIV +MMMCCCXXVIIII +CXXXVIII +MMCCCXX +MMMCCXXVIIII +MCCLXVI +MMMCCCCXXXXVI +MMDCCXCIX +MCMLXXI +MMCCLXVIII +CDLXXXXIII +MMMMDCCXXII +MMMMDCCLXXXVII +MMMDCCLIV +MMCCLXIII +MDXXXVII +DCCXXXIIII +MCII +MMMDCCCLXXI +MMMLXXIII +MDCCCLIII +MMXXXVIII +MDCCXVIIII +MDCCCCXXXVII +MMCCCXVI +MCMXXII +MMMCCCLVIII +MMMMDCCCXX +MCXXIII +MMMDLXI +MMMMDXXII +MDCCCX +MMDXCVIIII +MMMDCCCCVIII +MMMMDCCCCXXXXVI +MMDCCCXXXV +MMCXCIV +MCMLXXXXIII +MMMCCCLXXVI +MMMMDCLXXXV +CMLXIX +DCXCII +MMXXVIII +MMMMCCCXXX +XXXXVIIII \ No newline at end of file diff --git a/scheme/5.scm b/scheme/5.scm new file mode 100644 index 0000000..ad2d7df --- /dev/null +++ b/scheme/5.scm @@ -0,0 +1,22 @@ +(define (gcd x y) + (if (= y 0) x + (gcd y (modulo x y)))) + +(define (lcm x y) + (/ (* x y) (gcd x y))) + +(define (lcmlis lis) + (define (lcm-iter lis a) + (if (= (length lis) 1) (lcm (car lis) a) + (lcm-iter (cdr lis) (lcm a (car lis))))) + (lcm-iter (cdr lis) (car lis))) + +(define (makelis x) + (define (makelis-iter x lis) + (if (zero? x) lis + (makelis-iter (- x 1) (append (list x) lis)))) + (makelis-iter x '())) + + +(display (lcmlis (makelis 100))) +(newline) diff --git a/scheme/55.scm b/scheme/55.scm new file mode 100644 index 0000000..c733a55 --- /dev/null +++ b/scheme/55.scm @@ -0,0 +1,40 @@ +(use-modules (ice-9 time)) + +(define (revnum x) + (string->number + (list->string + (reverse + (string->list + (number->string x)))))) + +(define (testL x n) + (define x_ (revnum x)) + (if (> n 50) #t + (if (equal? x x_) #f + (testL (+ x x_) (+ n 1))))) + +(define (test x n lis) + (define x_ (revnum x)) + (if (> n 50) lis + (if (equal? x x_) (append lis (list x)) + (test (+ x x_) (+ n 1) (append lis (list x)))))) + +(define (isL x) + (set! x (+ x (revnum x))) + (testL x 1)) + +(define (main x n lis) + (if (> x n) lis + (main (+ x 1) + n + (if (isL x) (append lis (list x)) + lis)))) + +(define (showlist x) + (display (car x)) + (newline) + (if (> (length x) 1) + (showlist (cdr x)) + "end")) + +(main 1 10000 ()) diff --git a/scheme/80.scm b/scheme/80.scm new file mode 100644 index 0000000..0e259b1 --- /dev/null +++ b/scheme/80.scm @@ -0,0 +1,37 @@ +(define (int x) + (inexact->exact (floor x))) + +(define (newton a n) + (define (newton-iter a n x x-) + (if (<= (abs (- x x-)) 1) + (if (> (expt x n) a) (- x 1) x) + (let ((tmp (expt x- (- n 1)))) + (newton-iter a n x- (- x- (int (/ (- (* tmp x-) a) (* tmp n)))))))) + (newton-iter a n 0 (int (sqrt a)))) + +(define (numsum x) + (define (numsum-iter x a) + (if (= x 0) a + (numsum-iter (int (/ x 10)) (+ a (modulo x 10))))) + (numsum-iter x 0)) + +(define (main end) + (define (main-iter i end value) + (if (> i end) value + (if (= (expt (int (sqrt i)) 2) i) (main-iter (+ i 1) end value) + (main-iter (+ i 1) end + (+ value (numsum (newton (* i (expt 100 99)) 2))))))) + (define (main-tt i end a) + (display (list (- i 1) a)) + (newline) + (if (> i end) '() + (main-tt (+ i 1) end (main-iter 1 i 0)))) + (main-iter 2 end 0)) + + +(display (main 10)) +(newline) + + + + diff --git a/sudoku.txt b/sudoku.txt new file mode 100644 index 0000000..c82a83c --- /dev/null +++ b/sudoku.txt @@ -0,0 +1,500 @@ +Grid 01 +003020600 +900305001 +001806400 +008102900 +700000008 +006708200 +002609500 +800203009 +005010300 +Grid 02 +200080300 +060070084 +030500209 +000105408 +000000000 +402706000 +301007040 +720040060 +004010003 +Grid 03 +000000907 +000420180 +000705026 +100904000 +050000040 +000507009 +920108000 +034059000 +507000000 +Grid 04 +030050040 +008010500 +460000012 +070502080 +000603000 +040109030 +250000098 +001020600 +080060020 +Grid 05 +020810740 +700003100 +090002805 +009040087 +400208003 +160030200 +302700060 +005600008 +076051090 +Grid 06 +100920000 +524010000 +000000070 +050008102 +000000000 +402700090 +060000000 +000030945 +000071006 +Grid 07 +043080250 +600000000 +000001094 +900004070 +000608000 +010200003 +820500000 +000000005 +034090710 +Grid 08 +480006902 +002008001 +900370060 +840010200 +003704100 +001060049 +020085007 +700900600 +609200018 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