lanqiao 2114 李白打酒加强版 (记忆化搜索)
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13lanqiao/test9-2.cpp
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25
13lanqiao/test9-2.cpp
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// lanqiao 2114 李白打酒加强版 (记忆化搜索)
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#include<bits/stdc++.h>
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using namespace std;
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const int N = 1e2 + 10, mod = 1e9 + 7;
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int f[N][N][N];
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int dfs(int s, int cur_n, int cur_m){
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// 非法
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if(s < 0 || cur_n < 0 || cur_m < 0) return 0;
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// 优化1-可行性剪枝: 酒量大于剩余遇见花的次数无效
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if(s > cur_m) return 0;
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if(cur_m == 1 && cur_n == 0 && s == 1) return 1;
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// 优化2-记忆化搜索
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if(f[s][cur_n][cur_m] != -1) return f[s][cur_n][cur_m];
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f[s][cur_n][cur_m] = (dfs(s*2, cur_n - 1, cur_m) + dfs(s - 1, cur_n, cur_m - 1)) % mod;
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return f[s][cur_n][cur_m];
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}
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int main(){
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fill(f[0][0], f[0][0] + N*N*N, -1);
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int n, m; cin >> n >> m;
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cout << dfs(2, n, m) << endl;
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return 0;
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}
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/* test samples -> 14
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5 10
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*/
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