有n(2≤n≤20)块芯片,有好有坏,已知好芯片比坏芯片多。
每个芯片都能用来测试其他芯片。用好芯片测试其他芯片时,能正确给出被测试芯片是好还是坏。而用坏芯片测试其他芯片时,会随机给出好或是坏的测试结果(即此结果与被测试芯片实际的好坏无关)。
给出所有芯片的测试结果,问哪些芯片是好芯片。
cpp
#include<iostream>
#include<vector>
using namespace std;
vector<int>ans;
int n;
int a[20][20];
bool found;
bool rightchip(int row) {
if (ans.empty())return true;
for (int i = 0; i < n; i++) {
if (a[ans[0]][i] != a[row][i])return false;
}
return true;
}
void dfs(int cur,int target) {
if (found)return;
if (target == 0) {
for (int c : ans)cout << c+1 << " ";
cout << endl;
found = true;
return;
}
//1、剩余的芯片小于还需要达成的目标数
//2、最后一块芯片已经检查完了
if (n - cur < target || cur == n)return;
//不选
if (!found)dfs(cur + 1, target);
//选
if (rightchip(cur)) {
ans.push_back(cur);
dfs(cur + 1, target - 1);
ans.pop_back();
}
}
int main() {
cin >> n;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
cin >> a[i][j];
}
}
for (int i = n; i > n / 2; i--) {
ans.clear();
found = false;
dfs(0, i);
if (found)break;
}
return 0;
}
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