답안 #426251

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
426251 2021-06-13T15:49:53 Z zoooma13 수열 (APIO14_sequence) C++14
100 / 100
1151 ms 81532 KB
#include <bits/stdc++.h>
using namespace std;

int64_t sqr(int x){
    return 1LL*x*x;
}

struct line{
    int64_t m ,c; int idx;
    int64_t eval(int64_t x) { return m*x + c; }
};
struct hull : deque <line> {
    void add(int64_t m ,int64_t c ,int idx){
        line l = {m ,c ,idx};
        while(size() >= 2 && 1.0*(c - back().c)*(back().m - at(size()-2).m) >= 1.0*(back().m - m)*(at(size()-2).c - back().c))
            pop_back();
        push_back(l);
    }
    pair <int64_t ,int> eval(int64_t x){
        while(size() >= 2 && at(0).eval(x) <= at(1).eval(x))
            pop_front();
        return {at(0).eval(x) , at(0).idx};
    }
};

int main()
{
    int n ,m;
    scanf("%d%d",&n,&m);
    vector <int> a(n) ,s{0};
    for(int&i : a){
        scanf("%d",&i);
        s.push_back(s.back() + i);
    }

    vector <int64_t> dp(n+1) ,last_dp(n+1);
    vector <vector <int>> trace(1 ,vector <int> (n+1 ,0));
    for(int i = 0; i <= n; i++)
        dp[i] = sqr(s[i]);
    for(int k = 1; k <= m; k++){
        last_dp = dp;
        trace.push_back(vector <int> (n+1 ,0));
        auto&from = trace.back();
        hull h;
        h.add(s[k] ,-sqr(s[k])-last_dp[k] ,k);
        for(int i = k+1; i <= n; i++){
            auto r = h.eval(2*s[i]);
            dp[i] = sqr(s[i]) - r.first;
            from[i] = r.second;
            h.add(s[i] ,-sqr(s[i])-last_dp[i] ,i);
        }
    }

    printf("%lld\n",(sqr(s.back()) - dp.back()) / 2);
    for(int l = m ,i = n; l > 0; l--){
        i = trace[l][i];
        printf("%d ",i);
    }
    printf("\n");
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:54:16: warning: format '%lld' expects argument of type 'long long int', but argument 2 has type 'int64_t' {aka 'long int'} [-Wformat=]
   54 |     printf("%lld\n",(sqr(s.back()) - dp.back()) / 2);
      |             ~~~^    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
      |                |                                |
      |                long long int                    int64_t {aka long int}
      |             %ld
sequence.cpp:29:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   29 |     scanf("%d%d",&n,&m);
      |     ~~~~~^~~~~~~~~~~~~~
sequence.cpp:32:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   32 |         scanf("%d",&i);
      |         ~~~~~^~~~~~~~~
# 결과 실행 시간 메모리 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 204 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 0 ms 204 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 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
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 204 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 204 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 252 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 204 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 204 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 204 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 204 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 204 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 204 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 204 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 204 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 332 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 332 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 332 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 204 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 332 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 972 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 1112 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 460 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 588 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 716 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 716 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 91 ms 8344 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 716 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 70 ms 5264 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 74 ms 6076 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 79 ms 6596 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 59 ms 5368 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 70 ms 6076 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 87 ms 7620 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 28 ms 4612 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 30 ms 4708 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 907 ms 81532 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 29 ms 4796 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1151 ms 81376 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 804 ms 57916 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 776 ms 61948 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 640 ms 50980 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 727 ms 58304 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 931 ms 73644 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845