Submission #7989

# Submission time Handle Problem Language Result Execution time Memory
7989 2014-08-27T04:58:18 Z gs14004 Split the sequence (APIO14_sequence) C++
33 / 100
0 ms 85584 KB
#include <cstdio>
#include <utility>
#include <vector>

using namespace std;
typedef long long lint;
typedef pair<lint, int> pi;

struct cht{
    int s,e;
    lint la[100005],lb[100005];
    int label[100005];
    void insert(lint p, lint q, int piv){
        la[e] = p;
        lb[e] = q;
        label[e] = piv;
        while(e>1 && (lb[e-1] - lb[e-2]) * (la[e] - la[e-1]) <= (la[e-2] - la[e-1])* (lb[e-1] - lb[e])){
            la[e-1] = la[e];
            lb[e-1] = lb[e];
            label[e-1] = label[e];
            e--;
        }
        e++;
    }
    pi query(lint x){
        while(s+1<e && lb[s+1] - lb[s] > x * (la[s] - la[s+1])) s++;
        return pi(la[s]*x+lb[s],label[s]);
    }
    void clear(){s = e = 0;}
}convexHull;

int n,k;
lint dp[2][100005],a[100005];
int track[100005][205];

int main(){
    int t;
    scanf("%d %d",&n,&k);
    for (int i=0; i<n; i++) {
        scanf("%d",&t);
        a[i+1] = a[i] + t;
    }
    lint sum = a[n];
    for (int t=0; t<=k; t++) {
        convexHull.clear();
        dp[t%2][t] = -1e9;
        convexHull.insert(a[t], dp[!(t%2)][t] - sum*a[t], t);
        for (int i=t+1; i<=n; i++) {
            pi x = convexHull.query(a[i]);
            track[t][i] = x.second;
            dp[t%2][i] = x.first + a[i] * (sum - a[i]);
            convexHull.insert(a[i],dp[!(t%2)][i]-sum*a[i], i);
        }
    }
    printf("%lld\n",dp[k%2][n]);
    vector<int> res;
    int pos2 = n;
    for(int pos1 = k; pos1; pos1--){
        res.push_back(track[pos1][pos2]);
        pos2 = track[pos1][pos2];
    }
    while (!res.empty()) {
        printf("%d ",res.back());
        res.pop_back();
    }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 85584 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 85584 KB Output isn't correct - declared answer doesn't correspond to the split scheme: declared = 21503404, real = 21358818
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -