2016-2017 ACM-ICPC CHINA-Final Ice Cream Tower 二分+贪心
/**
题目:2016-2017 ACM-ICPC CHINA-Final Ice Cream Tower
链接:http://codeforces.com/gym/101194
题意:给n个木块,堆一个小塔要k个木块,满足相邻两个木块,上面的木块大小至少是下面的木块的两倍。
问最多可以堆出几个小塔。 思路:二分+贪心。 先二分最终可以堆出的小塔数x,然后确定了数量,就可以这样来贪心,把前x个木块作为所有小塔的顶部木块,
然后从剩下的木块中继续取前x小的,从小到大放在x个小塔的次顶部,然后继续。。。如果可以取到k层。那么该方案有解。找一个最大的二分结果即可。 */ #include<iostream>
#include<cstdio>
#include<algorithm>
#include<map>
#include<vector>
#include<queue>
#include<cstring>
#include<cmath>
using namespace std;
typedef pair<int,int> P;
typedef __int64 LL;
const int N = 3e5+;
const int mod = 1e9+;
const int INF = 0x3f3f3f3f;
LL b[N], a[N];
int n, k;
bool ok(int x)
{
for(int i = ; i < x; i++){
a[i] = b[i];
}
int as, bs;
as = bs = x;
for(int i = ; i <= (k-)*x; i++){
while(bs<n&&b[bs]<*a[as-x]){bs++;}
if(bs==n) return false;
a[as++] = b[bs++];
}
return true;
}
int solve()
{
int lo = , hi = n/k, mi;
int ans;
while(lo<=hi){
mi = (lo+hi)/;
if(ok(mi)){
//cout<<"mi = "<<mi<<endl;
ans = mi;
lo = mi+;
}else
{
hi = mi-;
}
}
return ans;
}
int main(void)
{
int T;
int cas = ;
cin>>T;
while(T--)
{
scanf("%d%d",&n,&k);
for(int i = ; i < n; i++){
scanf("%I64d",&b[i]);
}
sort(b,b+n);
printf("Case #%d: %d\n",cas++,solve());
}
return ;
}
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