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#include<stdio.h> | ||
#define LIMIT 20 | ||
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int check_print(int result, int i, int j, char* operation); | ||
int product_left(int pos, int row); | ||
int product_right(int pos, int row); | ||
int product_down(int pos, int col); | ||
int product_up(int pos, int col); | ||
int product_left_diagonal(int row, int col); | ||
int product_right_diagonal(int row, int col); | ||
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int array[20][20] = { {8,02,22,97,38,15,00,40,00,75,04,05,07,78,52,12,50,77,91,8}, | ||
{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}, | ||
{67,26,20,68,02,62,12,20,95,63,94,39,63,8,40,91,66,49,94,21}, | ||
{24,55,58,05,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72}, | ||
{21,36,23,9,75,00,76,44,20,45,35,14,00,61,33,97,34,31,33,95}, | ||
{78,17,53,28,22,75,31,67,15,94,03,80,04,62,16,14,9,53,56,92}, | ||
{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}, | ||
{04,52,8,83,97,35,99,16,07,97,57,32,16,26,26,79,33,27,98,66}, | ||
{88,36,68,87,57,62,20,72,03,46,33,67,46,55,12,32,63,93,53,69}, | ||
{04,42,16,73,38,25,39,11,24,94,72,18,8,46,29,32,40,62,76,36}, | ||
{20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74,04,36,16}, | ||
{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}}; | ||
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int max = 0; | ||
int main(){ | ||
int i, j; | ||
for(i = 0;i < LIMIT;i++){ | ||
for(j = 0;j < LIMIT;j++){ | ||
check_print(product_left(j,i), i, j, "product_left"); | ||
check_print(product_right(j,i), i, j, "product_right"); | ||
check_print(product_down(i,j), i, j, "product_down"); | ||
check_print(product_up(i,j), i, j, "prouduct_up"); | ||
check_print(product_left_diagonal(i,j),i, j, "product_left_diag"); | ||
check_print(product_right_diagonal(i,j), i, j, "product right_diag"); | ||
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} | ||
} | ||
printf("the product of greatest is %d\n",max); | ||
return 0; | ||
} | ||
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int check_print(int result, int i, int j, char *operation){ | ||
if(result > max){ | ||
max = result; | ||
printf("result is %d the position of i = %d, j = %d and operation is %s \n",result, i , j, operation); | ||
} | ||
} | ||
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int product_left(int pos, int row){ | ||
if(pos + 4 < LIMIT){ | ||
return array[row][pos] * array[row][pos+1] * array[row][pos+2] * array[row][pos+3]; | ||
} | ||
} | ||
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int product_right(int pos, int row){ | ||
if(pos > 2){ | ||
return array[row][pos] * array[row][pos-1] * array[row][pos-2] * array[row][pos-3]; | ||
} | ||
} | ||
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int product_down(int pos, int col){ | ||
if(pos + 4 < LIMIT){ | ||
return array[pos][col] * array[pos+1][col] * array[pos+2][col] * array[pos+3][col]; | ||
} | ||
} | ||
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int product_up(int pos, int col){ | ||
if(pos < 2){ | ||
return array[pos][col] * array[pos-1][col] * array[pos-2][col] * array[pos-3][col]; | ||
} | ||
} | ||
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int product_left_diagonal(int row, int col){ | ||
if(row + 4 < LIMIT && col+4 < LIMIT){ | ||
return array[row][col] * array[row+1][col+1] * array[row+2][col+2] * array[row+3][col+3]; | ||
} | ||
} | ||
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int product_right_diagonal(int row, int col){ | ||
if(row + 4 < LIMIT && col > 2){ | ||
return array[row][col] * array[row+1][col-1] * array[row+2][col-2] * array[row+3][col-3]; | ||
} | ||
} | ||
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#include<stdio.h> | ||
#define LIMIT 500 | ||
int total_factors_of_a_num(long long int input); | ||
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int main(){ | ||
int i, factors = 0; | ||
long long int total = 0; | ||
for(i = 1;factors < LIMIT;i++){ | ||
total = total + i; | ||
factors = total_factors_of_a_num(total); | ||
} | ||
printf("the triangle number which exceed more than 500 factors is that %lld\n",total); | ||
return 0; | ||
} | ||
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int total_factors_of_a_num(long long int input){ | ||
int i, factors = 0; | ||
for(i=1; input / i >= i;i++){ | ||
if(input % i == 0)factors++; | ||
} | ||
if(factors % 2 == 0){ | ||
return factors * 2; | ||
} | ||
return (factors * 2) + 1; | ||
} |