标签:eof zoj getch define src bsp bzoj iostream bug
由于答案具有单调性,考虑二分答案并验证。
如果能凑齐x堆,因为每个joke在一个牌堆里最多只能用一次,则至多只能用min(x,m)个joke.
对于每个牌,如果这个牌的总数小于x,用joke补齐剩下的,如果能补齐那么一定能组成x堆。
简单证明: 补齐完后的牌堆里每用joke一个,一定能在其他牌里面凑齐n-1个不是joke的牌。
考虑反证法,如果取某一个joke后,剩下的牌组有一个只剩下joke的话。这是不可能的,因为joke总数至多为x。
# include <cstdio> # include <cstring> # include <cstdlib> # include <iostream> # include <vector> # include <queue> # include <stack> # include <map> # include <set> # include <cmath> # include <algorithm> using namespace std; # define lowbit(x) ((x)&(-x)) # define pi 3.1415926535 # define eps 1e-9 # define MOD 9999973 # define INF 1000000000 # define mem(a,b) memset(a,b,sizeof(a)) # define FOR(i,a,n) for(int i=a; i<=n; ++i) # define FO(i,a,n) for(int i=a; i<n; ++i) # define bug puts("H"); # define lch p<<1,l,mid # define rch p<<1|1,mid+1,r # define mp make_pair # define pb push_back typedef pair<int,int> PII; typedef vector<int> VI; # pragma comment(linker, "/STACK:1024000000,1024000000") typedef long long LL; int Scan() { int res=0, flag=0; char ch; if((ch=getchar())==‘-‘) flag=1; else if(ch>=‘0‘&&ch<=‘9‘) res=ch-‘0‘; while((ch=getchar())>=‘0‘&&ch<=‘9‘) res=res*10+(ch-‘0‘); return flag?-res:res; } void Out(int a) { if(a<0) {putchar(‘-‘); a=-a;} if(a>=10) Out(a/10); putchar(a%10+‘0‘); } const int N=55; //Code begin... int a[N], n, m; bool check(int x){ LL res=0; FOR(i,1,n) { if (a[i]>=x) continue; res+=(x-a[i]); } return res<=min(m,x); } int main () { int ma=0; scanf("%d%d",&n,&m); FOR(i,1,n) scanf("%d",a+i), ma=max(ma,a[i]); int l=0, r=ma+m+1, mid; while (l<r) { mid=(l+r)>>1; if (l==mid) break; if (check(mid)) l=mid; else r=mid; } printf("%d\n",l); return 0; }
标签:eof zoj getch define src bsp bzoj iostream bug
原文地址:http://www.cnblogs.com/lishiyao/p/6618400.html