By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is 23.
That is, 3 + 7 + 4 + 9 = 23.
Find the maximum total from top to bottom in triangle.txt (right click and ‘Save Link/Target As…’), a 15K text file containing a triangle with one-hundred rows.
NOTE: This is a much more difficult version of this. It is not possible to try every route to solve this problem, as there are 2^99 altogether! If you could check one trillion (10^12) routes every second it would take over twenty billion years to check them all. There is an efficient algorithm to solve it. ;o)
cevap : 7273
cozum icin ipucu burada
Derleme ortami Visual studio community c++
// project euler problem 67
// yasin tasan --> oct 2016
#include "stdafx.h"
int main()
{
unsigned int array[100][100] = {
{ 59, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 73, 41, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 52, 40, 9, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 26, 53, 06, 34, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 10, 51, 87, 86, 81, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 61, 95, 66, 57, 25, 68, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 90, 81, 80, 38, 92, 67, 73, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 30, 28, 51, 76, 81, 18, 75, 44, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 84, 14, 95, 87, 62, 81, 17, 78, 58, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 21, 46, 71, 58, 02, 79, 62, 39, 31, 9, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 56, 34, 35, 53, 78, 31, 81, 18, 90, 93, 15, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 78, 53, 04, 21, 84, 93, 32, 13, 97, 11, 37, 51, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 45, 03, 81, 79, 05, 18, 78, 86, 13, 30, 63, 99, 95, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 39, 87, 96, 28, 03, 38, 42, 17, 82, 87, 58, 07, 22, 57, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 06, 17, 51, 17, 07, 93, 9, 07, 75, 97, 95, 78, 87, 8, 53, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 67, 66, 59, 60, 88, 99, 94, 65, 55, 77, 55, 34, 27, 53, 78, 28, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 76, 40, 41, 04, 87, 16, 9, 42, 75, 69, 23, 97, 30, 60, 10, 79, 87, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 12, 10, 44, 26, 21, 36, 32, 84, 98, 60, 13, 12, 36, 16, 63, 31, 91, 35, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 70, 39, 06, 05, 55, 27, 38, 48, 28, 22, 34, 35, 62, 62, 15, 14, 94, 89, 86, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 66, 56, 68, 84, 96, 21, 34, 34, 34, 81, 62, 40, 65, 54, 62, 05, 98, 03, 02, 60, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 38, 89, 46, 37, 99, 54, 34, 53, 36, 14, 70, 26, 02, 90, 45, 13, 31, 61, 83, 73, 47, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 36, 10, 63, 96, 60, 49, 41, 05, 37, 42, 14, 58, 84, 93, 96, 17, 9, 43, 05, 43, 06, 59, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 66, 57, 87, 57, 61, 28, 37, 51, 84, 73, 79, 15, 39, 95, 88, 87, 43, 39, 11, 86, 77, 74, 18, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 54, 42, 05, 79, 30, 49, 99, 73, 46, 37, 50, 02, 45, 9, 54, 52, 27, 95, 27, 65, 19, 45, 26, 45, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 71, 39, 17, 78, 76, 29, 52, 90, 18, 99, 78, 19, 35, 62, 71, 19, 23, 65, 93, 85, 49, 33, 75, 9, 02, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 33, 24, 47, 61, 60, 55, 32, 88, 57, 55, 91, 54, 46, 57, 07, 77, 98, 52, 80, 99, 24, 25, 46, 78, 79, 05, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 92, 9, 13, 55, 10, 67, 26, 78, 76, 82, 63, 49, 51, 31, 24, 68, 05, 57, 07, 54, 69, 21, 67, 43, 17, 63, 12, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 24, 59, 06, 8, 98, 74, 66, 26, 61, 60, 13, 03, 9, 9, 24, 30, 71, 8, 88, 70, 72, 70, 29, 90, 11, 82, 41, 34, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 66, 82, 67, 04, 36, 60, 92, 77, 91, 85, 62, 49, 59, 61, 30, 90, 29, 94, 26, 41, 89, 04, 53, 22, 83, 41, 9, 74, 90, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 48, 28, 26, 37, 28, 52, 77, 26, 51, 32, 18, 98, 79, 36, 62, 13, 17, 8, 19, 54, 89, 29, 73, 68, 42, 14, 8, 16, 70, 37, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 37, 60, 69, 70, 72, 71, 9, 59, 13, 60, 38, 13, 57, 36, 9, 30, 43, 89, 30, 39, 15, 02, 44, 73, 05, 73, 26, 63, 56, 86, 12, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 55, 55, 85, 50, 62, 99, 84, 77, 28, 85, 03, 21, 27, 22, 19, 26, 82, 69, 54, 04, 13, 07, 85, 14, 01, 15, 70, 59, 89, 95, 10, 19, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 04, 9, 31, 92, 91, 38, 92, 86, 98, 75, 21, 05, 64, 42, 62, 84, 36, 20, 73, 42, 21, 23, 22, 51, 51, 79, 25, 45, 85, 53, 03, 43, 22, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 75, 63, 02, 49, 14, 12, 89, 14, 60, 78, 92, 16, 44, 82, 38, 30, 72, 11, 46, 52, 90, 27, 8, 65, 78, 03, 85, 41, 57, 79, 39, 52, 33, 48, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 78, 27, 56, 56, 39, 13, 19, 43, 86, 72, 58, 95, 39, 07, 04, 34, 21, 98, 39, 15, 39, 84, 89, 69, 84, 46, 37, 57, 59, 35, 59, 50, 26, 15, 93, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 42, 89, 36, 27, 78, 91, 24, 11, 17, 41, 05, 94, 07, 69, 51, 96, 03, 96, 47, 90, 90, 45, 91, 20, 50, 56, 10, 32, 36, 49, 04, 53, 85, 92, 25, 65, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 52, 9, 61, 30, 61, 97, 66, 21, 96, 92, 98, 90, 06, 34, 96, 60, 32, 69, 68, 33, 75, 84, 18, 31, 71, 50, 84, 63, 03, 03, 19, 11, 28, 42, 75, 45, 45, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 61, 31, 61, 68, 96, 34, 49, 39, 05, 71, 76, 59, 62, 67, 06, 47, 96, 99, 34, 21, 32, 47, 52, 07, 71, 60, 42, 72, 94, 56, 82, 83, 84, 40, 94, 87, 82, 46, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 01, 20, 60, 14, 17, 38, 26, 78, 66, 81, 45, 95, 18, 51, 98, 81, 48, 16, 53, 88, 37, 52, 69, 95, 72, 93, 22, 34, 98, 20, 54, 27, 73, 61, 56, 63, 60, 34, 63, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
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{ 96, 80, 82, 07, 59, 71, 92, 53, 19, 20, 88, 66, 03, 26, 26, 10, 24, 27, 50, 82, 94, 73, 63, 8, 51, 33, 22, 45, 19, 13, 58, 33, 90, 15, 22, 50, 36, 13, 55, 06, 35, 47, 82, 52, 33, 61, 36, 27, 28, 46, 98, 14, 73, 20, 73, 32, 16, 26, 80, 53, 47, 66, 76, 38, 94, 45, 02, 01, 22, 52, 47, 96, 64, 58, 52, 39, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 88, 46, 23, 39, 74, 63, 81, 64, 20, 90, 33, 33, 76, 55, 58, 26, 10, 46, 42, 26, 74, 74, 12, 83, 32, 43, 9, 02, 73, 55, 86, 54, 85, 34, 28, 23, 29, 79, 91, 62, 47, 41, 82, 87, 99, 22, 48, 90, 20, 05, 96, 75, 95, 04, 43, 28, 81, 39, 81, 01, 28, 42, 78, 25, 39, 77, 90, 57, 58, 98, 17, 36, 73, 22, 63, 74, 51, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 29, 39, 74, 94, 95, 78, 64, 24, 38, 86, 63, 87, 93, 06, 70, 92, 22, 16, 80, 64, 29, 52, 20, 27, 23, 50, 14, 13, 87, 15, 72, 96, 81, 22, 8, 49, 72, 30, 70, 24, 79, 31, 16, 64, 59, 21, 89, 34, 96, 91, 48, 76, 43, 53, 88, 01, 57, 80, 23, 81, 90, 79, 58, 01, 80, 87, 17, 99, 86, 90, 72, 63, 32, 69, 14, 28, 88, 69, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 37, 17, 71, 95, 56, 93, 71, 35, 43, 45, 04, 98, 92, 94, 84, 96, 11, 30, 31, 27, 31, 60, 92, 03, 48, 05, 98, 91, 86, 94, 35, 90, 90, 8, 48, 19, 33, 28, 68, 37, 59, 26, 65, 96, 50, 68, 22, 07, 9, 49, 34, 31, 77, 49, 43, 06, 75, 17, 81, 87, 61, 79, 52, 26, 27, 72, 29, 50, 07, 98, 86, 01, 17, 10, 46, 64, 24, 18, 56, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 51, 30, 25, 94, 88, 85, 79, 91, 40, 33, 63, 84, 49, 67, 98, 92, 15, 26, 75, 19, 82, 05, 18, 78, 65, 93, 61, 48, 91, 43, 59, 41, 70, 51, 22, 15, 92, 81, 67, 91, 46, 98, 11, 11, 65, 31, 66, 10, 98, 65, 83, 21, 05, 56, 05, 98, 73, 67, 46, 74, 69, 34, 8, 30, 05, 52, 07, 98, 32, 95, 30, 94, 65, 50, 24, 63, 28, 81, 99, 57, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 19, 23, 61, 36, 9, 89, 71, 98, 65, 17, 30, 29, 89, 26, 79, 74, 94, 11, 44, 48, 97, 54, 81, 55, 39, 66, 69, 45, 28, 47, 13, 86, 15, 76, 74, 70, 84, 32, 36, 33, 79, 20, 78, 14, 41, 47, 89, 28, 81, 05, 99, 66, 81, 86, 38, 26, 06, 25, 13, 60, 54, 55, 23, 53, 27, 05, 89, 25, 23, 11, 13, 54, 59, 54, 56, 34, 16, 24, 53, 44, 06, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 13, 40, 57, 72, 21, 15, 60, 8, 04, 19, 11, 98, 34, 45, 9, 97, 86, 71, 03, 15, 56, 19, 15, 44, 97, 31, 90, 04, 87, 87, 76, 8, 12, 30, 24, 62, 84, 28, 12, 85, 82, 53, 99, 52, 13, 94, 06, 65, 97, 86, 9, 50, 94, 68, 69, 74, 30, 67, 87, 94, 63, 07, 78, 27, 80, 36, 69, 41, 06, 92, 32, 78, 37, 82, 30, 05, 18, 87, 99, 72, 19, 99, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 44, 20, 55, 77, 69, 91, 27, 31, 28, 81, 80, 27, 02, 07, 97, 23, 95, 98, 12, 25, 75, 29, 47, 71, 07, 47, 78, 39, 41, 59, 27, 76, 13, 15, 66, 61, 68, 35, 69, 86, 16, 53, 67, 63, 99, 85, 41, 56, 8, 28, 33, 40, 94, 76, 90, 85, 31, 70, 24, 65, 84, 65, 99, 82, 19, 25, 54, 37, 21, 46, 33, 02, 52, 99, 51, 33, 26, 04, 87, 02, 8, 18, 96, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 54, 42, 61, 45, 91, 06, 64, 79, 80, 82, 32, 16, 83, 63, 42, 49, 19, 78, 65, 97, 40, 42, 14, 61, 49, 34, 04, 18, 25, 98, 59, 30, 82, 72, 26, 88, 54, 36, 21, 75, 03, 88, 99, 53, 46, 51, 55, 78, 22, 94, 34, 40, 68, 87, 84, 25, 30, 76, 25, 8, 92, 84, 42, 61, 40, 38, 9, 99, 40, 23, 29, 39, 46, 55, 10, 90, 35, 84, 56, 70, 63, 23, 91, 39, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 52, 92, 03, 71, 89, 07, 9, 37, 68, 66, 58, 20, 44, 92, 51, 56, 13, 71, 79, 99, 26, 37, 02, 06, 16, 67, 36, 52, 58, 16, 79, 73, 56, 60, 59, 27, 44, 77, 94, 82, 20, 50, 98, 33, 9, 87, 94, 37, 40, 83, 64, 83, 58, 85, 17, 76, 53, 02, 83, 52, 22, 27, 39, 20, 48, 92, 45, 21, 9, 42, 24, 23, 12, 37, 52, 28, 50, 78, 79, 20, 86, 62, 73, 20, 59, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 54, 96, 80, 15, 91, 90, 99, 70, 10, 9, 58, 90, 93, 50, 81, 99, 54, 38, 36, 10, 30, 11, 35, 84, 16, 45, 82, 18, 11, 97, 36, 43, 96, 79, 97, 65, 40, 48, 23, 19, 17, 31, 64, 52, 65, 65, 37, 32, 65, 76, 99, 79, 34, 65, 79, 27, 55, 33, 03, 01, 33, 27, 61, 28, 66, 8, 04, 70, 49, 46, 48, 83, 01, 45, 19, 96, 13, 81, 14, 21, 31, 79, 93, 85, 50, 05, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 92, 92, 48, 84, 59, 98, 31, 53, 23, 27, 15, 22, 79, 95, 24, 76, 05, 79, 16, 93, 97, 89, 38, 89, 42, 83, 02, 88, 94, 95, 82, 21, 01, 97, 48, 39, 31, 78, 9, 65, 50, 56, 97, 61, 01, 07, 65, 27, 21, 23, 14, 15, 80, 97, 44, 78, 49, 35, 33, 45, 81, 74, 34, 05, 31, 57, 9, 38, 94, 07, 69, 54, 69, 32, 65, 68, 46, 68, 78, 90, 24, 28, 49, 51, 45, 86, 35, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 41, 63, 89, 76, 87, 31, 86, 9, 46, 14, 87, 82, 22, 29, 47, 16, 13, 10, 70, 72, 82, 95, 48, 64, 58, 43, 13, 75, 42, 69, 21, 12, 67, 13, 64, 85, 58, 23, 98, 9, 37, 76, 05, 22, 31, 12, 66, 50, 29, 99, 86, 72, 45, 25, 10, 28, 19, 06, 90, 43, 29, 31, 67, 79, 46, 25, 74, 14, 97, 35, 76, 37, 65, 46, 23, 82, 06, 22, 30, 76, 93, 66, 94, 17, 96, 13, 20, 72, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 63, 40, 78, 8, 52, 9, 90, 41, 70, 28, 36, 14, 46, 44, 85, 96, 24, 52, 58, 15, 87, 37, 05, 98, 99, 39, 13, 61, 76, 38, 44, 99, 83, 74, 90, 22, 53, 80, 56, 98, 30, 51, 63, 39, 44, 30, 91, 91, 04, 22, 27, 73, 17, 35, 53, 18, 35, 45, 54, 56, 27, 78, 48, 13, 69, 36, 44, 38, 71, 25, 30, 56, 15, 22, 73, 43, 32, 69, 59, 25, 93, 83, 45, 11, 34, 94, 44, 39, 92, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 12, 36, 56, 88, 13, 96, 16, 12, 55, 54, 11, 47, 19, 78, 17, 17, 68, 81, 77, 51, 42, 55, 99, 85, 66, 27, 81, 79, 93, 42, 65, 61, 69, 74, 14, 01, 18, 56, 12, 01, 58, 37, 91, 22, 42, 66, 83, 25, 19, 04, 96, 41, 25, 45, 18, 69, 96, 88, 36, 93, 10, 12, 98, 32, 44, 83, 83, 04, 72, 91, 04, 27, 73, 07, 34, 37, 71, 60, 59, 31, 01, 54, 54, 44, 96, 93, 83, 36, 04, 45, 00, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 30, 18, 22, 20, 42, 96, 65, 79, 17, 41, 55, 69, 94, 81, 29, 80, 91, 31, 85, 25, 47, 26, 43, 49, 02, 99, 34, 67, 99, 76, 16, 14, 15, 93, 8, 32, 99, 44, 61, 77, 67, 50, 43, 55, 87, 55, 53, 72, 17, 46, 62, 25, 50, 99, 73, 05, 93, 48, 17, 31, 70, 80, 59, 9, 44, 59, 45, 13, 74, 66, 58, 94, 87, 73, 16, 14, 85, 38, 74, 99, 64, 23, 79, 28, 71, 42, 20, 37, 82, 31, 23, 00, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 51, 96, 39, 65, 46, 71, 56, 13, 29, 68, 53, 86, 45, 33, 51, 49, 12, 91, 21, 21, 76, 85, 02, 17, 98, 15, 46, 12, 60, 21, 88, 30, 92, 83, 44, 59, 42, 50, 27, 88, 46, 86, 94, 73, 45, 54, 23, 24, 14, 10, 94, 21, 20, 34, 23, 51, 04, 83, 99, 75, 90, 63, 60, 16, 22, 33, 83, 70, 11, 32, 10, 50, 29, 30, 83, 46, 11, 05, 31, 17, 86, 42, 49, 01, 44, 63, 28, 60, 07, 78, 95, 40, 00, 00, 00, 00, 00, 00, 00, 00 },
{ 44, 61, 89, 59, 04, 49, 51, 27, 69, 71, 46, 76, 44, 04, 9, 34, 56, 39, 15, 06, 94, 91, 75, 90, 65, 27, 56, 23, 74, 06, 23, 33, 36, 69, 14, 39, 05, 34, 35, 57, 33, 22, 76, 46, 56, 10, 61, 65, 98, 9, 16, 69, 04, 62, 65, 18, 99, 76, 49, 18, 72, 66, 73, 83, 82, 40, 76, 31, 89, 91, 27, 88, 17, 35, 41, 35, 32, 51, 32, 67, 52, 68, 74, 85, 80, 57, 07, 11, 62, 66, 47, 22, 67, 00, 00, 00, 00, 00, 00, 00 },
{ 65, 37, 19, 97, 26, 17, 16, 24, 24, 17, 50, 37, 64, 82, 24, 36, 32, 11, 68, 34, 69, 31, 32, 89, 79, 93, 96, 68, 49, 90, 14, 23, 04, 04, 67, 99, 81, 74, 70, 74, 36, 96, 68, 9, 64, 39, 88, 35, 54, 89, 96, 58, 66, 27, 88, 97, 32, 14, 06, 35, 78, 20, 71, 06, 85, 66, 57, 02, 58, 91, 72, 05, 29, 56, 73, 48, 86, 52, 9, 93, 22, 57, 79, 42, 12, 01, 31, 68, 17, 59, 63, 76, 07, 77, 00, 00, 00, 00, 00, 00 },
{ 73, 81, 14, 13, 17, 20, 11, 9, 01, 83, 8, 85, 91, 70, 84, 63, 62, 77, 37, 07, 47, 01, 59, 95, 39, 69, 39, 21, 99, 9, 87, 02, 97, 16, 92, 36, 74, 71, 90, 66, 33, 73, 73, 75, 52, 91, 11, 12, 26, 53, 05, 26, 26, 48, 61, 50, 90, 65, 01, 87, 42, 47, 74, 35, 22, 73, 24, 26, 56, 70, 52, 05, 48, 41, 31, 18, 83, 27, 21, 39, 80, 85, 26, 8, 44, 02, 71, 07, 63, 22, 05, 52, 19, 8, 20, 00, 00, 00, 00, 00 },
{ 17, 25, 21, 11, 72, 93, 33, 49, 64, 23, 53, 82, 03, 13, 91, 65, 85, 02, 40, 05, 42, 31, 77, 42, 05, 36, 06, 54, 04, 58, 07, 76, 87, 83, 25, 57, 66, 12, 74, 33, 85, 37, 74, 32, 20, 69, 03, 97, 91, 68, 82, 44, 19, 14, 89, 28, 85, 85, 80, 53, 34, 87, 58, 98, 88, 78, 48, 65, 98, 40, 11, 57, 10, 67, 70, 81, 60, 79, 74, 72, 97, 59, 79, 47, 30, 20, 54, 80, 89, 91, 14, 05, 33, 36, 79, 39, 00, 00, 00, 00 },
{ 60, 85, 59, 39, 60, 07, 57, 76, 77, 92, 06, 35, 15, 72, 23, 41, 45, 52, 95, 18, 64, 79, 86, 53, 56, 31, 69, 11, 91, 31, 84, 50, 44, 82, 22, 81, 41, 40, 30, 42, 30, 91, 48, 94, 74, 76, 64, 58, 74, 25, 96, 57, 14, 19, 03, 99, 28, 83, 15, 75, 99, 01, 89, 85, 79, 50, 03, 95, 32, 67, 44, 8, 07, 41, 62, 64, 29, 20, 14, 76, 26, 55, 48, 71, 69, 66, 19, 72, 44, 25, 14, 01, 48, 74, 12, 98, 07, 00, 00, 00 },
{ 64, 66, 84, 24, 18, 16, 27, 48, 20, 14, 47, 69, 30, 86, 48, 40, 23, 16, 61, 21, 51, 50, 26, 47, 35, 33, 91, 28, 78, 64, 43, 68, 04, 79, 51, 8, 19, 60, 52, 95, 06, 68, 46, 86, 35, 97, 27, 58, 04, 65, 30, 58, 99, 12, 12, 75, 91, 39, 50, 31, 42, 64, 70, 04, 46, 07, 98, 73, 98, 93, 37, 89, 77, 91, 64, 71, 64, 65, 66, 21, 78, 62, 81, 74, 42, 20, 83, 70, 73, 95, 78, 45, 92, 27, 34, 53, 71, 15, 00, 00 },
{ 30, 11, 85, 31, 34, 71, 13, 48, 05, 14, 44, 03, 19, 67, 23, 73, 19, 57, 06, 90, 94, 72, 57, 69, 81, 62, 59, 68, 88, 57, 55, 69, 49, 13, 07, 87, 97, 80, 89, 05, 71, 05, 05, 26, 38, 40, 16, 62, 45, 99, 18, 38, 98, 24, 21, 26, 62, 74, 69, 04, 85, 57, 77, 35, 58, 67, 91, 79, 79, 57, 86, 28, 66, 34, 72, 51, 76, 78, 36, 95, 63, 90, 8, 78, 47, 63, 45, 31, 22, 70, 52, 48, 79, 94, 15, 77, 61, 67, 68, 00 },
{ 23, 33, 44, 81, 80, 92, 93, 75, 94, 88, 23, 61, 39, 76, 22, 03, 28, 94, 32, 06, 49, 65, 41, 34, 18, 23, 8, 47, 62, 60, 03, 63, 33, 13, 80, 52, 31, 54, 73, 43, 70, 26, 16, 69, 57, 87, 83, 31, 03, 93, 70, 81, 47, 95, 77, 44, 29, 68, 39, 51, 56, 59, 63, 07, 25, 70, 07, 77, 43, 53, 64, 03, 94, 42, 95, 39, 18, 01, 66, 21, 16, 97, 20, 50, 90, 16, 70, 10, 95, 69, 29, 06, 25, 61, 41, 26, 15, 59, 63, 35 },
};
unsigned int var0, var1, n, m, temp[100] = {};
for (m = 99; m > 0; m--)
{
for (n = 0; n < 99; n++)
{
var0 = array[m - 1][n] + array[m][n];
var1 = array[m - 1][n] + array[m][n + 1];
if (var0>var1)
temp[n] = var0;
else
temp[n] = var1;
array[m - 1][n] = temp[n];
}
}
printf("max sum = %d", array[0][0]);
return 0;
}