Submission #388593

# Submission time Handle Problem Language Result Execution time Memory
388593 2021-04-12T08:17:41 Z cpp219 Split the sequence (APIO14_sequence) C++14
100 / 100
1425 ms 82968 KB
#pragma GCC optimization "Ofast"
#pragma GCC optimization "unroll-loop"
#pragma GCC target ("avx2")

#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define fs first
#define sc second
using namespace std;
const ll N = 1e5 + 6;
const ll lim = 3e5 + 6;
const ll inf = 1e9 + 7;
typedef pair<ll,ll> LL;

ll n,a[N],b[N],dp[N],k,val[N],pre[N];
int best[211][N];
ll sum(ll L,ll R){
    return b[R] - b[L - 1];
}

ll cal(ll x,ll y){
    return sum(1,x - 1) * sum(x,y);
}

void f(ll rm,ll L,ll R,ll lf,ll rg){
    if (L > R) return;
    ll chosen = 0,cur = (L + R)/2,mx = -inf;
    for (ll i = lf;i <= min(rg,cur);i++){
        if (rm - 1 >= i - 1) continue;
        ll now = pre[i - 1] + cal(i,cur);
        if (now > mx){
            mx = now; chosen = i;
        }
    }
    best[rm][cur] = chosen; val[cur] = mx;
    f(rm,L,cur - 1,lf,chosen); f(rm,cur + 1,R,chosen,rg);
}

void Trace(ll k,ll n){
    if (!k) return;
    ll p = best[k][n];
    cout<<p - 1<<" "; Trace(k - 1,p - 1);
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    #define task "60"
    if (fopen(task".inp", "r")){
        freopen(task".inp", "r", stdin);
        //freopen(task".out", "w", stdout);
    }
    cin>>n>>k;
    for (ll i = 1;i <= n;i++) cin>>a[i],b[i] = b[i - 1] + a[i];
    for (ll i = 1;i <= k;i++){
        f(i,1,n,1,n);
        for (ll j = i + 1;j <= n;j++) dp[j] = pre[j] = val[j];
    }
    cout<<dp[n]<<"\n"; Trace(k,n);

}

Compilation message

sequence.cpp:1: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
    1 | #pragma GCC optimization "Ofast"
      | 
sequence.cpp:2: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
    2 | #pragma GCC optimization "unroll-loop"
      | 
sequence.cpp: In function 'int main()':
sequence.cpp:51:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   51 |         freopen(task".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 328 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 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 588 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 460 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 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 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1356 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1100 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1356 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1356 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 588 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 588 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory 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 6 ms 1996 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 2064 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1800 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2124 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2124 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 716 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 844 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 844 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 60 ms 9396 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 864 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 73 ms 5920 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 81 ms 6852 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 67 ms 7236 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 43 ms 5980 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 65 ms 6848 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 82 ms 8516 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 27 ms 5316 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 5380 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 670 ms 82968 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 5828 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1425 ms 82788 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 826 ms 59100 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 693 ms 63372 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 485 ms 52332 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 696 ms 59300 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 897 ms 75016 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845