[bzoj2016][Usaco2010]Chocolate Eating(二分+贪心)

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题目:

给出不卡权限的luogu

题解:

这个题luogu上有一句话没有:如果有多种吃法,则输出按照词典序排序后最靠后的方案
这句话提醒我们要贪心,让每一天的快乐值“刚刚”大于你二分的mid值就OK,然后剩下的巧克力都推到最后吃

代码:

#include <cstdio>#include <iostream>#include <cstring>#define LL long longusing namespace std;int n,d,a[50005],bel[50005];bool check(LL mid){    int now=1,i;LL rest=0;    for (i=1;i<=d;i++)    {        rest/=2;        while (rest<mid && now<=n) rest+=a[now],now++;        if (now>n && rest<mid) return 0;    }      return 1;}void dfs(LL ans){    int now=1,i;LL rest=0;    for (i=1;i<=d;i++)    {        rest/=2;        while (rest<ans && now<=n) rest+=a[now],bel[now]=i,now++;    }      for (i=now;i<=n;i++) bel[i]=d; }int main(){    int i;LL l=0,r=0,ans;    scanf("%d%d",&n,&d);    for (i=1;i<=n;i++) scanf("%d",&a[i]),r+=a[i];    while (l<=r)    {        LL mid=(l+r)>>1;        if (check(mid)) ans=mid,l=mid+1;         else r=mid-1;    }    printf("%lld\n",ans);    dfs(ans);    for (i=1;i<=n;i++) printf("%d\n",bel[i]);}
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