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Educational Codeforces Round 75 (Rated for Div. 2) D. Salary Changing 二分 + check

發(fā)布時(shí)間:2023/12/4 编程问答 42 豆豆
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文章目錄

  • 題意:
  • 思路:

題意:

思路:

直接算不好算,考慮二分這個(gè)中位數(shù)midmidmid
考慮如何checkcheckcheck,這個(gè)分情況來就好了:
(1)mid>a[i].r(1)mid>a[i].r(1)mid>a[i].r,這個(gè)時(shí)候這個(gè)人永遠(yuǎn)不能到midmidmid,所以給他a[i].la[i].la[i].l
(2)mid<a[i].l(2)mid<a[i].l(2)mid<a[i].l,這個(gè)時(shí)候給多少都>mid>mid>mid,所以給他a[i].la[i].la[i].l
(3)a[i].l≤mid≤a[i].r(3)a[i].l\le mid\le a[i].r(3)a[i].lmida[i].r,這個(gè)時(shí)候只需要找出幾個(gè)<mid,≥mid<mid,\ge mid<mid,mid即可,將a[i].la[i].la[i].l從小到大排序貪心來選即可。

// Problem: D. Salary Changing // Contest: Codeforces - Educational Codeforces Round 75 (Rated for Div. 2) // URL: https://codeforces.com/contest/1251/problem/D // Memory Limit: 256 MB // Time Limit: 3000 ms // // Powered by CP Editor (https://cpeditor.org)//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4.1,sse4.2,avx,avx2,popcnt,tune=native") //#pragma GCC optimize(2) #include<cstdio> #include<iostream> #include<string> #include<cstring> #include<map> #include<cmath> #include<cctype> #include<vector> #include<set> #include<queue> #include<algorithm> #include<sstream> #include<ctime> #include<cstdlib> #include<random> #include<cassert> #define X first #define Y second #define L (u<<1) #define R (u<<1|1) #define pb push_back #define mk make_pair #define Mid ((tr[u].l+tr[u].r)>>1) #define Len(u) (tr[u].r-tr[u].l+1) #define random(a,b) ((a)+rand()%((b)-(a)+1)) #define db puts("---") using namespace std;//void rd_cre() { freopen("d://dp//data.txt","w",stdout); srand(time(NULL)); } //void rd_ac() { freopen("d://dp//data.txt","r",stdin); freopen("d://dp//AC.txt","w",stdout); } //void rd_wa() { freopen("d://dp//data.txt","r",stdin); freopen("d://dp//WA.txt","w",stdout); }typedef long long LL; typedef unsigned long long ULL; typedef pair<int,int> PII;const int N=1000010,mod=1e9+7,INF=0x3f3f3f3f; const double eps=1e-6;int n; LL s; struct Node {int l,r;bool operator < (const Node &W) const {return l<W.l;} }a[N]; vector<Node>v;bool check(int mid) {v.clear();LL now=s;int cnt1,cnt2; cnt1=cnt2=0;for(int i=1;i<=n;i++) {if(a[i].r<mid) cnt1++,now-=a[i].l;else if(a[i].l>mid) cnt2++,now-=a[i].l;else v.pb(a[i]);}if(cnt1>n/2) return false;for(int i=0;i<v.size();i++) {if(cnt1<n/2) {cnt1++;now-=v[i].l;} else if(cnt2<n/2+1) {cnt2++;now-=mid;}}return now>=0; }int main() { // ios::sync_with_stdio(false); // cin.tie(0);int _; cin>>_;while(_--) {scanf("%d%lld",&n,&s);for(int i=1;i<=n;i++) scanf("%d%d",&a[i].l,&a[i].r);sort(a+1,a+1+n);int l=1,r=1e9,ans;while(l<=r) {int mid=(l+r)>>1;if(check(mid)) ans=mid,l=mid+1;else r=mid-1;}printf("%d\n",ans);}return 0; } /**/

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