• URAL 2018 The Debut Album (DP)


    题意:给出n长度的数列,其实1的连续个数不超过a,2的连续个数不超过b。

    析:dp[i][j][k] 表示前 i 个数,以 j 结尾,并且连续了k个长度,要用滚动数组,要不然MLE。

    代码如下:

    #pragma comment(linker, "/STACK:1024000000,1024000000")
    #include <cstdio>
    #include <string>
    #include <cstdlib>
    #include <cmath>
    #include <iostream>
    #include <cstring>
    #include <set>
    #include <queue>
    #include <algorithm>
    #include <vector>
    #include <map>
    #include <cctype>
    #include <cmath>
    #include <stack>
    #include <sstream>
    #define debug() puts("++++");
    #define gcd(a, b) __gcd(a, b)
    #define lson l,m,rt<<1
    #define rson m+1,r,rt<<1|1
    #define freopenr freopen("in.txt", "r", stdin)
    #define freopenw freopen("out.txt", "w", stdout)
    using namespace std;
    
    typedef long long LL;
    typedef unsigned long long ULL;
    typedef pair<int, int> P;
    const int INF = 0x3f3f3f3f;
    const LL LNF = 1e16;
    const double inf = 0x3f3f3f3f3f3f;
    const double PI = acos(-1.0);
    const double eps = 1e-8;
    const int maxn = 1e5 + 10;
    const int mod = 1e9 + 7;
    const int dr[] = {-1, 0, 1, 0};
    const int dc[] = {0, 1, 0, -1};
    const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
    int n, m;
    const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    inline bool is_in(int r, int c){
      return r >= 0 && r < n && c >= 0 && c < m;
    }
    LL dp[2][2][310];
    
    int main(){
      int a, b;
      cin >> n >> a >> b;
      dp[0][0][1] = dp[0][1][1] = 1;
      int cnt = 1;
      LL sum1 = 1, sum2 = 1;
      for(int i = 1; i < n; ++i, cnt ^= 1){
        dp[cnt][0][1] = sum1;
        dp[cnt][1][1] = sum2;
        swap(sum1, sum2);
        for(int j = 2; j <= a; ++j){
          dp[cnt][0][j] = dp[cnt^1][0][j-1];
          sum2 = (sum2 + dp[cnt][0][j]) % mod;
        }
        for(int j = 2; j <= b; ++j){
          dp[cnt][1][j] = dp[cnt^1][1][j-1];
          sum1 = (sum1 + dp[cnt][1][j]) % mod;
        }
      }
      LL ans = (sum1 + sum2) % mod;
      cout << ans << endl;
      return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/dwtfukgv/p/6789563.html
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