CodeForces Gym 100735E

给你一个矩阵,他们本来是,每行,每列,两条对角线,的和都是一样的,现在把主对角线的元素都挖去,让你求主对角线上各是什么

以5*5举例吧,假设为a,b,c,d,e,每行的和是sum,然后将所有行加起来就有,a+b+c+d+e+4sum=5sum,然后sum就能求出来,然后根据 每行和为sum,所以每行的那个未知数就能求出来,然后就可以了

#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
using namespace std;
#define ll long long
#define maxn 200005
int N;
ll matrix[105][105];
ll row[105];
int main()
{
	//freopen("input.txt", "r", stdin);
	//freopen("output.txt", "w", stdout);
	scanf("%d", &N);
	ll sum = 0;
	for (int i = 0; i < N; ++i)
	{
		for (int j = 0; j < N; ++j)
		{
			scanf("%I64d", &matrix[i][j]);
			sum += matrix[i][j];
			row[i] += matrix[i][j];
		}
	}
	sum /= (N - 1);
	for (int i = 0; i < N; ++i)
		matrix[i][i] = sum - row[i];
	for (int i = 0; i < N; ++i)
	{
		for (int j = 0; j < N; ++j)
		{
			printf("%I64d ", matrix[i][j]);
		}
		printf("\n");
	}
	//system("pause");
	//while (1);
	return 0;
}

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