Submission #9552

#	Time	Username	Problem	Language	Result	Execution time	Memory
9552		hodduc	Quaternion inverse (kriii2_Q)	C++98	0 / 4	0 ms	1476 KiB

Q

#include<stdio.h>

int rev[100000];
int M, T;
int vis[4];
int ord[4];
int mult(int x, int e)
{
	if(e == 1) return x;
	long long tmp = mult(x, e>>1);
	tmp = (tmp * tmp) % M;
	if (e & 1) tmp = (tmp * x) % M;
	return (int)tmp;
}

int main()
{
	scanf("%d %d", &M, &T);
	rev[1] = 1;
	for(int i = 2; i < M; i++)
		rev[i] = mult(i, M-2);

	int a, b, c, d;
	while(T--){
		scanf("%d %d %d %d", &a, &b, &c, &d);
		long long f[4][4] = {
			{a,M-b,M-c,M-d},
			{b,a,M-d,c},
			{c,d,a,M-b},
			{d,M-c,b,a}
		};

		//for(int i = 0; i < 4; i++) for(int j = 0; j < 4; j++) if(

		long long v[4] = {1,0,0,0};
		
		for(int t = 0; t < 4; t++) vis[t] = 0;
		for(int col = 0; col < 4; col++)
		{
			int row;
			for(row = 0; row < 4; row++) if(vis[row] == 0 && f[row][col] != 0) break;
			if(row == 4) goto FAIL;
			vis[row] = 1;
			ord[col] = row;

			int i, j;
			for(i = row; i == row; i++)
			{
				long long am = f[i][col];
				for(j = 0; j < 4; j++)
					f[i][j] = f[i][j] * rev[am] % M;
				v[i] = v[i] * rev[am] % M;
			}

			for(i = 0; i < 4; i++)
			{
				if(f[i][col] == 0) continue;
				if(i == row) continue;

				long long am = f[i][col];
				for(j = 0; j < 4; j++)
					f[i][j] = (f[i][j] - f[row][j] * am + M * M) % M;
				v[i] = (v[i] - v[row] * am + M * M) % M;
			}
		}

		int ass[4];
		for(int col = 0; col < 4; col++)
		{
			int row = ord[col];
			int val = v[row] * rev[f[row][col]] % M;
			printf("%d ", val);
			ass[col] = val;
		}

		printf("\n");
		continue;
FAIL:
		printf("0 0 0 0\n");
		continue;
	}
	return 0;
}

• Subtask 1: 0 / 1
• Subtask 2: 0 / 3