Submission #37905

# Submission time Handle Problem Language Result Execution time Memory
37905 2017-12-28T22:52:04 Z MatheusLealV Split the sequence (APIO14_sequence) C++14
100 / 100
613 ms 86100 KB
#include <bits/stdc++.h>
#define f first
#define s second
#define N 100005
#define K 202
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pii;
 
int r, e, n, k, prox[K][N], ID[N];
 
bool block[N];
 
ll A[N],B[N], dp[3][N], sum[N];
 
vector<pair<pii, int> > line;
 
void fastscan(int &number)
{
    register int c;
 
    number = 0;
 
    c = getchar();
 
    for (; (c>47 && c<58); c=getchar())
        number = number *10 + c - 48;
}
 
void fast_ll(ll &number)
{
    register int c;
 
    number = 0;
 
    c = getchar();
 
    for (; (c>47 && c<58); c=getchar())
        number = number *10 + c - 48; 
}
 
 
void addline(pair<pii, int> l)
{
    A[e] = l.f.f, B[e] = l.f.s, ID[e] = l.s;
 
    while(r + 1 < e && (B[e-1] - B[e-2]) * (A[e] - A[e-1]) <= (A[e-2] - A[e-1])* (B[e-1] - B[e])) A[e-1] = A[e], B[e-1] = B[e], ID[e-1] = ID[e], e--;
 
    e++;
}
 
pii query(ll x)
{
    while(r + 1 < e && B[r + 1] - B[r] >= x * (A[r] - A[r + 1])) r++;
 
    return pii(A[r]*x + B[r],ID[r]);
}
 
void print()
{
    vector<int> res;
 
    int pos2 = n;
 
    for(int pos1 = k; pos1; pos1--) res.push_back(prox[pos1][pos2]), pos2 = prox[pos1][pos2]; 
 
    while (!res.empty())  printf("%d ",res.back()), res.pop_back();
}
 
int32_t main()
{
    scanf("%d %d",&n,&k);
 
    for(int i = 1; i <= n; i++) scanf("%lld", &sum[i]), sum[i] += sum[i - 1];
 
    for(int i = 0; i <= n; i++) dp[0][i] = 0;
 
    int A = 0, B = 1;
     
    for(int q = 0; q <= k; q++)
    {
        r = e = 0;
 
        addline(make_pair(pii(0, 0), 0));
 
        for (int i = 1; i <= n; i++)
        {
            pii x = query(sum[i]);
 
            prox[q][i] = x.s;
 
            dp[A][i] = x.f + sum[i]*(sum[n] - sum[i]);
 
            addline(make_pair(pii(sum[i], dp[B][i] - sum[n]*sum[i]), i));
        }
 
        swap(A, B);
    }
 
    printf("%lld\n",dp[k%2][n]);
 
    print();
 
    printf("\n");
}

Compilation message

sequence.cpp: In function 'int32_t main()':
sequence.cpp:72:25: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d",&n,&k);
                         ^
sequence.cpp:74:77: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for(int i = 1; i <= n; i++) scanf("%lld", &sum[i]), sum[i] += sum[i - 1];
                                                                             ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86100 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 86100 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 86100 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 86100 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 86100 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 86100 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 86100 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 86100 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 86100 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 86100 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 86100 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 86100 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 86100 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 86100 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 86100 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 86100 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 86100 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86100 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 86100 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 86100 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 86100 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 86100 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 86100 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 86100 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 86100 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 86100 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 86100 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86100 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 86100 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 86100 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 86100 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 86100 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 86100 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 86100 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 86100 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 86100 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 86100 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 86100 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 3 ms 86100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 86100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 3 ms 86100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 86100 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 86100 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 3 ms 86100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 86100 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 0 ms 86100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86100 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 86100 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 46 ms 86100 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 86100 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 36 ms 86100 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 33 ms 86100 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 36 ms 86100 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 29 ms 86100 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 29 ms 86100 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 46 ms 86100 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 26 ms 86100 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 16 ms 86100 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 496 ms 86100 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 19 ms 86100 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 613 ms 86100 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 463 ms 86100 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 416 ms 86100 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 299 ms 86100 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 399 ms 86100 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 409 ms 86100 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845