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29
TangDou/LuoGuBook/P2036.cpp
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29
TangDou/LuoGuBook/P2036.cpp
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#include <bits/stdc++.h>
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using namespace std;
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const int INF = 0x3f3f3f3f;
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typedef long long LL;
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const int N = 20;
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int n;
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int s[N], b[N];
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LL MIN = INF;
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int main() {
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cin >> n;
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for (int i = 0; i < n; i++) cin >> s[i] >> b[i];
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//穷举所有可能的酸度和苦度
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//使用二进制枚举法,遍历所有可能性,然后分别计算总的酸度和苦度,找出最小的。
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int U = 1 << n; //U-1即为全集 ,比如 1<<5 就是 2的5次方,就是32,U=32。而U-1=31,就是表示 1 1 1 1 1
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for (int S = 1; S < U; S++) { //枚举所有子集[0,U) //为啥从1开始,因为0代表啥也不选,就是白水
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LL sum_s = 1, sum_b = 0;
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//是哪些数存在于子集中呢?
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for (int i = 0; i < n; i++) {
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int bit = (S >> i) & 1;
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if (bit) sum_s *= s[i], sum_b += b[i]; //遍历数字S的每一位,如果不是0,表示这一位上的数字是存在的,需要加进来
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}
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MIN = min(MIN, abs(sum_s - sum_b));
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}
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cout << MIN << endl;
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return 0;
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}
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