Submission #331020

# Submission time Handle Problem Language Result Execution time Memory
331020 2020-11-27T04:29:45 Z leinad2 Split the sequence (APIO14_sequence) C++14
49 / 100
174 ms 131076 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
struct line
{
    ll a, b, index;
};
vector<line>V;
double cross(const line &p, const line &q)
{
    return (double)(q.b-p.b)/(p.a-q.a);
}
void push(line x)
{
    if(V.size()&&V.back().a==x.a)
    {
        if(V.back().b<x.b)V.back().b=x.b;
        return;
    }
    while(V.size()>=2)
    {
        if(cross(V.back(), V[V.size()-2])>cross(V.back(), x))V.pop_back();
        else break;
    }
    V.push_back(x);
}
pair<ll, ll>query(ll x)
{
    ll a=0, b=V.size(), m;
    while(a+1<b)
    {
        m=(a+b)/2;
        if(cross(V[m-1], V[m])<=x)a=m;
        else b=m;
    }
    return {V[a].a*x+V[a].b, V[a].index};
}
ll n, i, j, k, t, a, b, c, A[100010], dp[100010][2], backtrack[100010][210];
int main()
{
    for(scanf("%lld %lld", &n, &k);i++<n;)
    {
        scanf("%lld", &A[i]);
        A[i]+=A[i-1];
    }
    for(j=0;j++<k;)
    {
        for(i=0;i++<n;)
        {
            push({A[i], dp[i][0]-A[i]*A[i], i});
            pair<ll, ll>p=query(A[i]);
            dp[i][1]=p.first;
            backtrack[i][j]=p.second;
            dp[i][0]=dp[i][1];
        }
        V.clear();
    }
    printf("%lld\n", dp[n][1]);
    i=n;
    j=k;
    vector<ll>ans;
    while(j>0)
    {
        i=backtrack[i][j];
        j--;
        ans.push_back(i);
    }
    while(ans.size())
    {
        printf("%lld ", ans.back());
        ans.pop_back();
    }
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:41:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   41 |     for(scanf("%lld %lld", &n, &k);i++<n;)
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~
sequence.cpp:43:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   43 |         scanf("%lld", &A[i]);
      |         ~~~~~^~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Incorrect 0 ms 364 KB Integer 2 violates the range [1, 1]
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 364 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 364 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 364 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 620 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 620 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 620 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 620 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 620 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Incorrect 3 ms 620 KB Integer 200 violates the range [1, 199]
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2028 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 2028 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 14 ms 2028 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2028 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 2028 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 2028 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 15 ms 2028 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 14 ms 2028 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 2028 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 2028 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 13 ms 17324 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 13 ms 17324 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 174 ms 17384 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 13 ms 17384 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 104 ms 17324 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 129 ms 17324 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 141 ms 17384 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 127 ms 17384 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 125 ms 17384 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 158 ms 17384 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Runtime error 109 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -