mirror of
https://github.com/Kiritow/OJ-Problems-Source.git
synced 2024-03-22 13:11:29 +08:00
114 lines
2.8 KiB
C++
114 lines
2.8 KiB
C++
#include<cstdio>
|
|
#include<cstring>
|
|
#include<algorithm>
|
|
typedef long long LL;
|
|
#define MAXN 60
|
|
#define P 200000000000000003LL
|
|
#define S 100000000000000000LL
|
|
using namespace std;
|
|
LL x[MAXN], g[MAXN][MAXN], a[MAXN][MAXN], b[MAXN][MAXN];
|
|
int n;
|
|
inline LL Mod(LL x) {
|
|
if (x >= P)
|
|
return x - P;
|
|
return x;
|
|
}
|
|
LL MulMod(LL a, LL b) {
|
|
LL res;
|
|
for (res = 0; b; b >>= 1) {
|
|
if (b & 1)
|
|
res = Mod(res + a);
|
|
a = Mod(a + a);
|
|
}
|
|
return res;
|
|
}
|
|
LL ExtGcd(LL a, LL b, LL &x, LL &y) {
|
|
if (b == 0) {
|
|
x = 1;
|
|
y = 0;
|
|
return a;
|
|
}
|
|
LL t, d;
|
|
d = ExtGcd(b, a % b, x, y);
|
|
t = x;
|
|
x = y;
|
|
y = t - a / b * y;
|
|
return d;
|
|
}
|
|
LL InvMod(LL a, LL n) {
|
|
LL x, y;
|
|
ExtGcd(a, n, x, y);
|
|
return (x % n + n) % n;
|
|
}
|
|
void Gauss() {
|
|
int i, j, k;
|
|
LL inv, tmp;
|
|
for (i = 0; i < n; i++) {
|
|
for (j = i; j < n; j++) {
|
|
if (g[j][i])
|
|
break;
|
|
}
|
|
if (i != j) {
|
|
for (k = i; k <= n; k++)
|
|
swap(g[i][k], g[j][k]);
|
|
}
|
|
inv = InvMod(g[i][i], P);
|
|
for (j = i + 1; j < n; j++) {
|
|
if (g[j][i]) {
|
|
tmp = MulMod(g[j][i], inv);
|
|
for (k = i; k <= n; k++) {
|
|
g[j][k] -= MulMod(tmp, g[i][k]);
|
|
g[j][k] = (g[j][k] % P + P) % P;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
for (i = n - 1; i >= 0; i--) {
|
|
tmp = 0;
|
|
for (j = i + 1; j < n; j++) {
|
|
tmp += MulMod(x[j], g[i][j]);
|
|
if (tmp >= P)
|
|
tmp -= P;
|
|
}
|
|
tmp = g[i][n] - tmp;
|
|
tmp = (tmp % P + P) % P;
|
|
x[i] = MulMod(tmp, InvMod(g[i][i], P));
|
|
}
|
|
}
|
|
int main() {
|
|
int c, ca = 1;
|
|
int i, j;
|
|
LL tmp;
|
|
scanf("%d", &c);
|
|
while (c--) {
|
|
scanf("%d", &n);
|
|
memset(g, 0, sizeof(g));
|
|
memset(b, 0, sizeof(b));
|
|
for (i = 0; i <= n; i++) {
|
|
for (j = 0; j < n; j++) {
|
|
scanf("%I64d", &a[i][j]);
|
|
a[i][j] += S;
|
|
b[i][n] += MulMod(a[i][j], a[i][j]);
|
|
if (b[i][n] >= P)
|
|
b[i][n] -= P;
|
|
}
|
|
}
|
|
for (i = 0; i < n; i++) {
|
|
for (j = 0; j < n; j++) {
|
|
tmp = a[i + 1][j] - a[i][j];
|
|
tmp = (tmp % P + P) % P;
|
|
g[i][j] = MulMod(tmp, 2);
|
|
}
|
|
g[i][n] = b[i + 1][n] - b[i][n];
|
|
g[i][n] = (g[i][n] % P + P) % P;
|
|
}
|
|
Gauss();
|
|
printf("Case %d:\n", ca++);
|
|
printf("%I64d", x[0] - S);
|
|
for (i = 1; i < n; i++)
|
|
printf(" %I64d", x[i] - S);
|
|
putchar('\n');
|
|
}
|
|
return 0;
|
|
}
|