Submission #299300

# Submission time Handle Problem Language Result Execution time Memory
299300 2020-09-14T16:38:16 Z AaronNaidu Split the sequence (APIO14_sequence) C++14
50 / 100
521 ms 17632 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

ll dp[2500][2500];
ll dpAns[2500][2500];
ll n, k;
ll nums[2000];
ll prefSum[2000];

void explore(int s, int regions) {
    if (regions == 0)
    {
        return;
    }
    ll split = dpAns[s][regions];
    //cout << "Exploring " << s << " " << f << " " << regions << "\n";
    //cout << "Answer is " << split << " " << reg << "\n";
    cout << split << " ";
    explore(split+1, regions - 1);
}

ll getDP(int s, int regions) {
    if (regions > n-s)
    {
        return -1000000000000;
    }
    if (regions == 0)
    {
        return 0;
    }
    if (dp[s][regions] >= 0)
    {
        return dp[s][regions];
    }
    ll cand = 0;
    for (int i = s; i <= n-regions; i++)
    {
        ll thisCand = (prefSum[i] - prefSum[s-1]) * (prefSum[n] - prefSum[i]);
        ll maxLittleCand = -1;
        ll thisLeftRegions = 0;
        ll thisLittleCand = getDP(i+1, regions-1);
        if (maxLittleCand < thisLittleCand)
        {
            maxLittleCand = max(maxLittleCand, thisLittleCand);
        }
        thisCand += maxLittleCand;
        if (thisCand >= cand)
        {
            cand = max(cand, thisCand);
            dpAns[s][regions] = i;
        }
    }
    dp[s][regions] = cand;
    return cand;
}

int main() {
    cin >> n >> k;
    cin >> nums[1];
    prefSum[1] = nums[1];
    prefSum[0] = 0;
    for (int i = 1; i < n; i++)
    {
        cin >> nums[i+1];
        prefSum[i+1] = prefSum[i] + nums[i+1];
    }
    for (int i = 0; i <= n; i++)
    {
        for (int k = 0; k <= n; k++)
        {
            dp[i][k] = -1;
        }
    }
    ll ans = getDP(1, k);
    cout << ans << "\n";
    //cout << "Exploring\n";
    explore(1, k);
    //cout << "\b\n";
}

Compilation message

sequence.cpp: In function 'll getDP(int, int)':
sequence.cpp:41:12: warning: unused variable 'thisLeftRegions' [-Wunused-variable]
   41 |         ll thisLeftRegions = 0;
      |            ^~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 512 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 512 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 512 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 768 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 896 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 768 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 768 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 768 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 768 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 768 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 768 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 768 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 800 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2304 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 2336 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 2304 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 2304 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 2304 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 2304 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 2304 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 2304 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 4 ms 2304 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 2304 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 17 ms 16256 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 17 ms 16256 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 518 ms 17528 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 17 ms 16256 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 516 ms 17528 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 485 ms 17324 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 521 ms 17632 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 520 ms 17444 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 157 ms 16544 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 280 ms 16824 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 384 KB Unexpected end of file - int32 expected
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 384 KB Unexpected end of file - int32 expected
2 Halted 0 ms 0 KB -