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#include <bits/stdc++.h>
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using namespace std;
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const int N = 110;
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int a[N];
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int n, m;
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//纯递归思路,最后一个测试点TLE
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//x:第几个位置
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//m:钱数上限
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int dfs(int x, int m) {
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int ans = 0;
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if (m == 0) return 1;//钱花光,增加一种办法
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if (x == n) return 0;//选择完n种,钱还没有花光,无效方法
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//看下一个菜,如果钱还够
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if (a[x + 1] <= m)
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ans += dfs(x + 1, m - a[x + 1]); //选择当前位置的菜
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ans += dfs(x + 1, m); //不选择当前位置的菜
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return ans;
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}
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int main() {
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cin >> n >> m;
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for (int i = 1; i <= n; i++)cin >> a[i];
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cout << dfs(0, m) << endl;
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return 0;
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}
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