Submission #248876

# Submission time Handle Problem Language Result Execution time Memory
248876 2020-07-13T15:45:41 Z Autoratch Split the sequence (APIO14_sequence) C++14
100 / 100
806 ms 84440 KB
#include <bits/stdc++.h>
using namespace std;
 
const int N = 1e5 + 1;
const int K = 201;
 
int n,k;
long long s[N];
int dp[N][K];
long long val[N][2];
vector<long long> m,b,id;
 
bool bad(int l1,int l2,int l3)
{
    return (double)(b[l2]-b[l3])*(m[l2]-m[l1])<(double)(b[l1]-b[l2])*(m[l3]-m[l2]);
}
 
void add(long long mx,long long bx,long long idx)
{
    if(!m.empty() and m.back()==mx and b.back()==bx) return;
    m.push_back(mx),b.push_back(bx),id.push_back(idx);
    while(m.size()>2 and bad(m.size()-3,m.size()-2,m.size()-1))
        m.erase(m.end()-2),b.erase(b.end()-2),id.erase(id.end()-2);
}
 
int ptr;
 
void query(long long x,long long &a,int &bb)
{
    if(m.empty()) return void(a = bb = 0);
    if(ptr>=m.size()) ptr = m.size()-1;
    while(ptr<m.size()-1 and m[ptr+1]*x+b[ptr+1]>=m[ptr]*x+b[ptr]) ptr++;
    a = m[ptr]*x+b[ptr];
    bb = id[ptr];
}
 
int main()
{
    ios_base::sync_with_stdio(0); cin.tie(0);
 
    cin >> n >> k; 
    for(int i = 1;i <= n;i++) cin >> s[i],s[i]+=s[i-1];
    int now = 1,prev = 0;
    for(int j = 0;j <= k;j++)
    {
        m.clear(),b.clear(),id.clear();
        ptr = 0;
        for(int i = 1;i <= n;i++)
        {
            if(j) query(s[i],val[i][now],dp[i][j]);
            if(i!=n and !((j-1)>1 and !dp[i][j-1]) and j-1<i) add(s[i],val[i][prev]-s[i]*s[i],i);
        }
        swap(now,prev);
    }
    cout << val[n][prev] << '\n';
    vector<int> ans;
    int l = k;
    for(int x = dp[n][k];x;x = dp[x][--l]) ans.push_back(x);
    reverse(ans.begin(),ans.end());
    for(int x : ans) cout << x << ' ';
}

Compilation message

sequence.cpp: In function 'void query(long long int, long long int&, int&)':
sequence.cpp:31:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if(ptr>=m.size()) ptr = m.size()-1;
        ~~~^~~~~~~~~~
sequence.cpp:32:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while(ptr<m.size()-1 and m[ptr+1]*x+b[ptr+1]>=m[ptr]*x+b[ptr]) ptr++;
           ~~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 384 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 384 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 512 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 532 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 512 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 512 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 512 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1152 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1152 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 1280 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1152 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 1152 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 1152 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1280 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 1152 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1152 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8704 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 8704 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 57 ms 9088 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 8960 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 45 ms 8704 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 50 ms 8784 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 52 ms 8960 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 40 ms 8932 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 45 ms 8860 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 56 ms 8960 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 56 ms 83676 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 54 ms 83744 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 777 ms 84440 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 56 ms 84440 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 806 ms 83672 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 639 ms 83672 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 690 ms 84440 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 531 ms 84312 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 547 ms 84056 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 696 ms 84056 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845