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  • BZOJ2179 FFT快速傅立叶

    这题目,看了标题就知道要干啥了233

    于是蒟蒻开始现学FFT。。。然后FFTing。。。

    最后WA3+1AC。。。

    WA了是怎么回事呢?

    我先位压4位。。。爆long long了。。。然后位压3位,又爆long long了额T T

    于是只好位压2位了233

      1 /**************************************************************
      2     Problem: 2179
      3     User: rausen
      4     Language: C++
      5     Result: Accepted
      6     Time:616 ms
      7     Memory:24248 kb
      8 ****************************************************************/
      9  
     10 #include <cstdio>
     11 #include <cmath>
     12 #include <algorithm>
     13  
     14 #define complex P
     15 using namespace std;
     16 typedef double lf;
     17 typedef long long ll;
     18 const int N = 300005;
     19 const lf pi = acos(-1);
     20  
     21 struct complex {
     22     lf x, y;
     23     P() {}
     24     P(lf _x, lf _y) : x(_x), y(_y) {}
     25      
     26     P operator + (const P &b) {
     27         return P(x + b.x, y + b.y);
     28     }
     29     P operator - (const P &b) {
     30         return P(x - b.x, y - b.y);
     31     }
     32     P operator * (const P &b) {
     33         return P(x * b.x - y * b.y, x * b.y + y * b.x);
     34     }
     35 } x[N], y[N], w[2][N];
     36  
     37 int n, k;
     38 ll a[N], b[N];
     39  
     40 void read(ll *a) {
     41     int i, now = ceil((lf) n / 2) - 1;
     42     char ch = getchar();
     43     while (ch < '0' || '9' < ch) ch = getchar();
     44     for (i = n; i; --i) {
     45         (a[now] *= 10) += ch - '0';
     46         ch = getchar();
     47         if (i & 1) --now;
     48     }
     49 }
     50  
     51 void print(ll *a, int n) {
     52     printf("%lld", a[n--]);
     53     for (; ~n; --n)
     54         printf("%02lld", a[n]);
     55 }
     56  
     57  
     58 void FFT(P *x, int k, int v) {
     59     int i, j, l;
     60     P tmp;
     61     for (i = j = 0; i < k; ++i) {
     62         if (i > j) swap(x[i], x[j]);
     63         for (l = k >> 1; (j ^= l) < l; l >>= 1);
     64     }
     65     for (i = 2; i <= k; i <<= 1)
     66         for (j = 0; j < k; j += i)
     67             for (l = 0; l < i >> 1; ++l) {
     68                 tmp = x[j + l + (i >> 1)] * w[v][k / i * l];
     69                 x[j + l + (i >> 1)] = x[j + l] - tmp;
     70                 x[j + l] = x[j + l] + tmp;
     71             }
     72 }
     73  
     74 void work() {
     75     int i;
     76     for (k = 1; k < n << 1; k <<= 1);
     77     for (i = 0; i <= k; ++i)
     78         w[1][k - i] = w[0][i] = P(cos(pi * 2 * i / k), sin(pi * 2 * i / k));
     79     for (i = 0; i < k; ++i)
     80         x[i] = P(a[i], 0);
     81     FFT(x, k, 0);
     82     for (i = 0; i < k; ++i)
     83         y[i] = P(b[i], 0);
     84     FFT(y, k, 0);
     85     for (i = 0; i < k; ++i)
     86         x[i] = x[i] * y[i];
     87     FFT(x, k, 1);
     88     for (i = 0; i < 2 * k; ++i)
     89         a[i] = (int) (x[i].x / k + 0.5);
     90     for (i = 0; i < 2 * k - 1; ++i)
     91         a[i + 1] += a[i] / 100, a[i] %= 100;
     92     for (k = 2 * k - 1; !a[k]; --k);
     93     print(a, k);
     94 }
     95  
     96 int main() {
     97     int i;
     98     scanf("%d", &n);
     99     read(a), read(b);
    100     n = ceil((lf) n / 2);
    101     work();
    102     return 0;   
    103 }
    View Code

    (p.s. 感觉这种写法比算导的简单好多而且好理解的说= =)

    By Xs酱~ 转载请说明 博客地址:http://www.cnblogs.com/rausen
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  • 原文地址:https://www.cnblogs.com/rausen/p/4130529.html
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