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高斯消元样例全过,但0pts,悲
P4781【模板】拉格朗日插值参与者 3已保存回复 6
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- 2023/10/27 09:33 2 年前
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- 2023/10/27 09:33 2 年前
CPP
#include<iostream>
#include<cmath>
using namespace std;
typedef long long LL;
const int N = 2e3 + 10;
const LL mod = 998244353;
const double eps = 1e-8;
LL n, k, x[N], y[N], a[N][N];
LL qmi(LL a, LL k) {
LL res = 1;
while (k) {
if (k & 1) res = res * a % mod;
a = a * a % mod;
k >>= 1;
}
return res;
}
LL f(LL x) {
LL res = 0;
for (int i = 0; i < n; ++i) {
res = (res + a[i][n] * qmi(x, i) % mod) % mod;
}
return res;
}
void gauss(void) {
int c, r;
for (c = 0, r = 0; c < n; c++) {
int t = r;
for (int i = r; i < n; i++)
if (fabs(a[i][c]) > fabs(a[t][c]))
t = i;
if (fabs(a[t][c]) < eps) continue;
for (int i = c; i <= n; i++) swap(a[t][i], a[r][i]);
for (int i = n; i >= c; i--) a[r][i] /= a[r][c];
for (int i = r + 1; i < n; i++)
if (fabs(a[i][c]) > eps)
for (int j = n; j >= c; j--)
a[i][j] -= (a[r][j] * a[i][c]) % mod;
r++;
}
for (int i = n - 1; i >= 0; i--)
for (int j = i + 1; j < n; j++)
a[i][n] -= (a[i][j] * a[j][n]) % mod;
}
int main(void) {
cin >> n >> k;
for (int i = 0; i < n; ++i) {
cin >> x[i] >> y[i];
for (int j = 0; j < n; ++j) {
a[i][j] = qmi(x[i], j);
}
a[i][n] = y[i];
}
gauss();
cout << f(k);
return 0;
}
蒟蒻代码求调
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