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POJ3685 Matrix(嵌套二分)

同行元素递减,同列元素递增,采用嵌套二分的方法

 

 

#include<cstdio>#include<iostream>#include<cstdlib>#include<cstring>#include<string>#include<algorithm>#include<map>#include<queue>#include<vector>#include<cmath>#include<utility>using namespace std;typedef __int64 LL;LL n, m;LL F(LL l, LL r){    return l * l + 100000 * l + r * r - 100000 * r  + l *r;}LL solve(LL x){    LL sum = 0;    for(int i = 1; i <= n; i++){        int l = 1, r = n + 1;        while(l < r){            LL mid = (l + r)>>1;            if(F(mid, i) > x){                r = mid;            }else{                l = mid + 1;            }        }        sum += l - 1;    }    return sum;}int main(){    int t;    cin>>t;    while(t--){        cin>>n>>m;        LL l = -100000*n, r = n*n+100000*n+n*n+n*n;        while(l < r){            LL mid = (l + r) >> 1;            if(solve(mid) < m){                l = mid + 1;            }else{                r = mid;            }        }        cout<<l<<‘\n‘;    }    return 0;}

  

POJ3685 Matrix(嵌套二分)