hdu 5730(分治FFT)
2016-07-23 19:50
337 查看
dp[i] = sigma(a[j] * dp[i-j]) (j < i);
看这里
看这里
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:102400000,102400000") using namespace std; #define LL long long #define pii pair<int,int> #define MP make_pair #define ls i << 1 #define rs ls | 1 #define md (ll + rr >> 1) #define lson ll, md, ls #define rson md + 1, rr, rs #define Pi acos(-1.0) #define mod 1000000007 #define eps 1e-12 #define inf 0x3f3f3f3f #define N 200010 #define M 1200020 struct Complex{ double r, i; Complex(double r = 0, double i = 0) : r(r), i(i) {} Complex operator + (const Complex &b) const { return Complex(r + b.r, i + b.i); } Complex operator - (const Complex &b) const { return Complex(r - b.r, i - b.i); } Complex operator * (const Complex &b) const { return Complex(r * b.r - i * b.i, r * b.i + b.r * i); } }; void change(Complex *y, int len){ for(int i = 1, j = len >> 1; i < len - 1; ++i){ if(i < j) swap(y[i], y[j]); int k = len >> 1; while(j >= k) j -= k, k >>= 1; if(j < k) j += k; } } void FFT(Complex *y, int len, int on){ change(y, len); for(int h = 2; h <= len; h <<= 1){ Complex wn = Complex(cos(-on*2*Pi/h), sin(-on*2*Pi/h)); for(int j = 0; j < len; j += h){ Complex w = Complex(1, 0); for(int k = j; k < j + h / 2; ++k){ Complex u = y[k]; Complex t = w * y[k+h/2]; y[k] = u + t; y[k+h/2] = u - t; w = w * wn; } } } if(on == -1){ for(int i = 0; i < len; ++i) y[i].r /= len; } } int dp , a ; Complex x[N<<2], y[N<<2]; void solve(int L, int R){ if(L == R) return ; int mid = (L + R) >> 1; solve(L, mid); int len = 1, len1 = R - L + 1; while(len <= len1) len <<= 1; for(int i = 0; i < len1; ++i) x[i] = Complex(a[i], 0); for(int i = len1; i <= len; ++i) x[i] = Complex(0, 0); for(int i = L; i <= mid; ++i) y[i-L] = Complex(dp[i], 0); for(int i = mid - L + 1; i <= len; ++i) y[i] = Complex(0, 0); FFT(x, len, 1); FFT(y, len, 1); for(int i = 0; i < len; ++i) x[i] = x[i] * y[i]; FFT(x, len, -1); for(int i = mid + 1; i <= R; ++i){ dp[i] += x[i-L].r + 0.5; dp[i] %= 313; } solve(mid + 1, R); } int main(){ int n; while(scanf("%d", &n) != EOF && n){ for(int i = 1; i <= n; ++i) scanf("%d", &a[i]), a[i] %= 313; for(int i = 1; i <= n; ++i) dp[i] = 0; dp[0] = 1; solve(0, n); printf("%d\n", dp ); } return 0; }
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