Submission #9524

# Submission time Handle Problem Language Result Execution time Memory
9524 2014-09-28T07:02:03 Z hodduc Quaternion inverse (kriii2_Q) C++
0 / 4
0 ms 1476 KB
#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,-b,-c,-d},
			{b,a,-d,c},
			{c,d,a,-b},
			{d,-c,b,a}
		};

		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;
			}
		}

		for(int col = 0; col < 4; col++)
		{
			int row = ord[col];
			int val = v[row] * rev[f[row][col]] % M;
			printf("%d ", val);
		}
		printf("\n");
		continue;
FAIL:
		printf("0 0 0 0\n");
		continue;
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 1476 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -