# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
868995 | alexdd | Bigger segments (IZhO19_segments) | C++17 | 169 ms | 26716 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define int long long
int n;
int a[500005];
int dp[500005];
int ult[500005];
int pref[500005];
signed main()
{
cin>>n;
for(int i=1;i<=n;i++)
{
cin>>a[i];
pref[i]=pref[i-1]+a[i];
}
dp[0]=0;
ult[0]=0;
vector<int> dq;
dq.push_back(0);
for(int i=1;i<=n;i++)
{
/**dp[i]=-1;
for(int x=i-1;x>=0;x--)
{
if(dp[x]+1<dp[i-1])
break;
if(ult[x]+pref[x]<=pref[i])
{
dp[i]=dp[x]+1;
ult[i]=pref[i]-pref[x];
break;
}
}*/
int st,dr,mij;
st=0;
dr=(int)dq.size()-1;
while(st<=dr)
{
mij=(st+dr)/2;
if(ult[dq[mij]]+pref[dq[mij]]<=pref[i])
{
if(mij==(int)dq.size()-1 || ult[dq[mij+1]]+pref[dq[mij+1]] > pref[i])
break;
st=mij+1;
}
else
dr=mij-1;
}
dp[i]=dp[dq[mij]]+1;
ult[i]=pref[i]-pref[dq[mij]];
if(dp[i-1]>dp[i] || (dp[i-1]==dp[i] && ult[i-1]+a[i]<ult[i]))
{
dp[i]=dp[i-1];
ult[i]=ult[i-1]+a[i];
}
while(ult[dq.back()]+pref[dq.back()] >= ult[i]+pref[i])
dq.pop_back();
dq.push_back(i);
}
cout<<dp[n];
return 0;
}
/**
dp[i] = numarul maxime de secvente in care pot fi impartite primele i elemente
ult[i] = suma ultimei secvente din solutia pt dp[i]
dp[i] max= dp[i-1]
dp[i] max= max(dp[x]+1) pt x = 0..i-1 && ult[x] + pref[x] <= pref[i]
*/
Compilation message (stderr)
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