Submission #397119

# Submission time Handle Problem Language Result Execution time Memory
397119 2021-05-01T13:29:58 Z tjdgus4384 Split the sequence (APIO14_sequence) C++14
100 / 100
763 ms 88032 KB
#include<bits/stdc++.h>
using namespace std;

vector<long long> v, sum;
vector<pair<pair<long long, long long>, long long> > cht;
long long dp[100010], ans, n, k, p;
int pa[100010][210];

bool chk(long long p1, long long p2, pair<long long, long long> c){
    pair<long long, long long> a = cht[p1].first;
    pair<long long, long long> b = cht[p2].first;
    if(b.first == c.first && b.second == c.second) return false;
    if(a.first == b.first && a.second == b.second && p1 > 0) return chk(p1-1, p1, c);
    if(a.first == b.first && a.second == b.second && c.second > b.second) return true;
    if(a.first == b.first && a.second == b.second) return false;
    if((a.second-c.second)*(b.first-a.first) <= (a.second-b.second)*(c.first-a.first)) return true;
    else return false;
}
bool chk2(pair<long long, long long> a, pair<long long, long long> b, long long c){
    if(b.first*c + b.second >= a.first*c + a.second) return true;
    else return false;
}

int main(){
    scanf("%lld %lld", &n, &k);
    sum.resize(n); v.resize(n);
    for(long long i = 0;i < n;i++) scanf("%lld", &v[i]);
    for(long long i = 0;i < n;i++) for(long long j = 0;j < k;j++) pa[i][j] = -1;
    sum[0] = v[0];
    for(long long i = 1;i < n;i++) sum[i] = sum[i-1] + v[i];

    for(long long i = 1;i < n;i++){
        dp[i] = sum[i-1]*(sum[n-1]-sum[i-1]);
    }

    for(long long j = 1;j < k;j++){
        for(long long i = 1;i < n;i++){
            while(cht.size() >= 2 && chk(cht.size()-2, cht.size()-1, {sum[i-1], dp[i]-sum[i-1]*sum[n-1]})) cht.pop_back();
            cht.push_back({{sum[i-1], dp[i]-sum[i-1]*sum[n-1]}, i});
        }
        long long x = 0;
        for(long long i = j + 1;i < n;i++){
            while(x < cht.size()-1 && cht[x+1].second < i && chk2(cht[x].first, cht[x+1].first, sum[i-1])) x++;
            dp[i] = cht[x].first.first*sum[i-1] + cht[x].first.second + sum[i-1]*(sum[n-1]-sum[i-1]);
            pa[i][j] = cht[x].second;
        }
        cht.clear();
    }
    for(long long i = k;i < n;i++){
        if(ans <= dp[i]){
            ans = dp[i];
            p = i;
        }
    }
    printf("%lld\n", ans);
    vector<long long> ret;
    while(p != -1){
        ret.push_back(p);
        p = pa[p][k-- -1];
    }
    reverse(ret.begin(), ret.end());
    for(long long i = 0;i < ret.size();i++) printf("%lld ", ret[i]);
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:43:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<std::pair<long long int, long long int>, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |             while(x < cht.size()-1 && cht[x+1].second < i && chk2(cht[x].first, cht[x+1].first, sum[i-1])) x++;
      |                   ~~^~~~~~~~~~~~~~
sequence.cpp:62:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     for(long long i = 0;i < ret.size();i++) printf("%lld ", ret[i]);
      |                         ~~^~~~~~~~~~~~
sequence.cpp:25:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   25 |     scanf("%lld %lld", &n, &k);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~
sequence.cpp:27:41: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   27 |     for(long long i = 0;i < n;i++) scanf("%lld", &v[i]);
      |                                    ~~~~~^~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 204 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 312 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 204 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 204 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 204 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 204 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 204 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 204 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 204 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 204 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 204 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 204 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 204 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 332 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 460 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 460 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 460 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 460 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1100 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1204 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 1100 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1100 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1100 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 9228 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 9168 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 56 ms 9228 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 9 ms 9228 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 49 ms 9228 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 50 ms 9260 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 50 ms 9228 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 38 ms 9276 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 41 ms 9228 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 59 ms 9232 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 54 ms 88032 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 50 ms 87992 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 642 ms 88012 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 52 ms 87992 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 763 ms 87992 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 536 ms 87964 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 528 ms 87992 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 433 ms 87996 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 506 ms 88012 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 605 ms 87992 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845