Submission #23475

# Submission time Handle Problem Language Result Execution time Memory
23475 2017-05-09T19:24:04 Z rubabredwan Split the sequence (APIO14_sequence) C++14
100 / 100
469 ms 87960 KB
/* Bismillahir Rahmanir Rahim */
 
#include <bits/stdc++.h>
 
using namespace std;
 
const int N = 100005;
const int K = 205;
 
long long M[N], B[N], I[N];
int idx, ptr;
  
void add(long long m, long long b, int i){
    ++idx, M[idx] = m, B[idx] = b, I[idx] = i;
    while(idx >= 3 && (B[idx-2] - B[idx-1]) * (M[idx] - M[idx-2]) >= (B[idx-2] - B[idx]) * (M[idx-1] - M[idx-2])){
        M[idx-1] = M[idx], B[idx-1] = B[idx], I[idx-1] = I[idx], idx--;
    }
}
 
long long query(long long x){
}
 
long long A[N], sum[N], cur[N], past[N];
int nxt[K][N];
int n, k;
int marked[N];
 
int main(){
    scanf("%d %d", &n, &k);
    for(int i=1;i<=n;i++){
        scanf("%lld", &A[i]);
        sum[i] = sum[i-1] + A[i];
    }
    for(int j=1;j<=k;j++){
        idx = 0, ptr = 1;
        add(sum[1], -(sum[1] * sum[1]), 1);
        for(int i=j;i<=n;i++){
            if(ptr > idx) ptr = idx;
            while(ptr + 1 <= idx && M[ptr+1] * sum[i] + B[ptr+1] > M[ptr] * sum[i] + B[ptr]) ++ptr;
            cur[i] = M[ptr] * sum[i] + B[ptr];
            nxt[j][i] = I[ptr];
            add(sum[i], -(sum[i] * sum[i]) + past[i], i);
            past[i] = cur[i];
        }
    }
    cout << cur[n] << endl;
    int cr = n, lf = k;
    while(lf){
        cr = nxt[lf][cr];
        marked[cr] = 1;
        lf -= 1;
    }
    for(int i=1;i<=n;i++) k -= marked[i];
    for(int i=1;i<=n;i++){
        if(marked[i]){
            printf("%d ", i);
            continue;
        }
        if(k){
            printf("%d ", i);
            k--;
        }
    }
    return 0;
}

Compilation message

sequence.cpp: In function 'long long int query(long long int)':
sequence.cpp:21:1: warning: no return statement in function returning non-void [-Wreturn-type]
 }
 ^
sequence.cpp: In function 'int main()':
sequence.cpp:29:27: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d", &n, &k);
                           ^
sequence.cpp:31:29: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld", &A[i]);
                             ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 87960 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 87960 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 87960 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 87960 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 87960 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 87960 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 87960 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 87960 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 87960 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 87960 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 87960 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 87960 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 87960 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 87960 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 87960 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 87960 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 87960 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 87960 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 87960 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 87960 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 87960 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 87960 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 87960 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 87960 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 87960 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 87960 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 87960 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 87960 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 87960 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 87960 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 87960 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 87960 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 87960 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 87960 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 87960 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 3 ms 87960 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 87960 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 3 ms 87960 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 0 ms 87960 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 3 ms 87960 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 3 ms 87960 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 87960 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 0 ms 87960 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 87960 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 26 ms 87960 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 87960 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 26 ms 87960 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 36 ms 87960 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 36 ms 87960 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 29 ms 87960 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 26 ms 87960 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 36 ms 87960 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 13 ms 87960 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 87960 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 246 ms 87960 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 19 ms 87960 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 469 ms 87960 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 273 ms 87960 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 313 ms 87960 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 223 ms 87960 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 243 ms 87960 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 259 ms 87960 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845