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D. Nastya and a Game【思维】
阅读量:529 次
发布时间:2019-03-08

本文共 1137 字,大约阅读时间需要 3 分钟。

题意:给定一个Arr[n],求满足multipul[L,R]/sum[L,R]==k的区间个数

思路:对于a[i]==1的情况,因为对multipul是没有影响的,只影响L,R。那么对于连续的区间1我们就可以跳,只要sum[L,R]∈[sum/multiple,sum/multiple+ lenof[1] ]。根据数据有multipul不会超过2e18。那么根据以上的做法,因为每次乘的数都是≥2的,第二层while循环的次数不会超过61次。复杂度为O(60*n);

#include
#define PI acos(-1.0)#define pb push_back#define F first#define S secondusing namespace std;typedef long long ll;const int N=2e5+5;ll a[N],sum[N],jump[N],ans=0;int main(void){ ios::sync_with_stdio(false); cin.tie(0);cout.tie(0); ll n,k; cin>>n>>k; for(int i=1;i<=n;i++) cin>>a[i]; for(int i=1;i<=n;i++) sum[i]=sum[i-1]+a[i]; jump[n]=n; jump[n+1]=n+1; for(int i=n-1;i>=1;--i){ if(a[i]==1) jump[i]=jump[i+1]; else jump[i]=i; } for(int i=1;i<=n;i++){ ll mul=1; int j=i; int last=i; while(j<=n&&(ll)2e18/a[j]>=mul){ /// last to j mul*=a[j]; ll presum=sum[j]-sum[i-1];// if(j==i&&mul/presum==k) ans++; last=j; j=jump[j+1]; if(mul%k==0&&mul/k>=presum&&mul/k<=presum+j-last-1)ans++;// cout <
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