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Submission #284958

# Submission time Handle Problem Language Result Execution time Memory
284958 2020-08-28T08:28:26 Z achibasadzishvili Discharging (NOI20_discharging) C++17
36 / 100
 1000 ms 221900 KB 
#include<bits/stdc++.h>
#define ll long long
#define f first
#define s second
#define pb push_back
using namespace std;
ll n,a[1000002];
ll dp[1000002],rm[1000002][21],po[2000002],pw[200],raod,mn;
ll lef[1000002],rig[1000002];
vector<ll>del[1000002];
ll get(ll x,ll y){
    ll lo = po[y - x + 1];
    if(rm[y][lo] > rm[x + pw[lo] - 1][lo])return rm[y][lo];
    return rm[x + pw[lo] - 1][lo];
}
ll ind(ll x,ll y){
    if(y == n)return -1;
    ll l = y + 1,r = n,mid,ind = -1;
    while(r >= l){
        mid = (l + r) / 2;
        if(dp[x] + get(x + 1 , mid) * (n - x) >= dp[y] + get(y + 1 , mid) * (n - y)){
            r = mid - 1;
            ind = mid;
        }
        else
            l = mid + 1;
    }
    return ind;
}
void delet(ll x){
    if(lef[x] == rig[x] && lef[x] == -1)return;
    if(lef[x] == -1){
        lef[rig[x]] = -1;
        mn = rig[x];
        rig[x] = -1;
        return;
    }
    rig[lef[x]] = rig[x];
    lef[rig[x]] = lef[x];
    ll cur = ind(lef[x] , rig[x]);
    if(cur == -1){
        lef[x] = rig[x] = -1;
        return;
    }
    del[cur].pb(lef[x]);
    lef[x] = rig[x] = -1;
}
int main(){
    scanf("%d",&n);
    for(int i=1; i<=n; i++){
        scanf("%d",&a[i]);
    }
    int cl = clock();
    //n = 1000000;
    //for(int i=1; i<=n; i++)
    //    a[i] = n-i+1;
    pw[0] = 1;
    
    for(int i=1; i<=21; i++){
        pw[i] = pw[i - 1] * 2;
        for(int j=pw[i - 1]; j<pw[i]; j++){
            if(j <= 1000000)
                po[j] = i - 1;
        }
    }
    for(int i=0; i<=n; i++)
        lef[i] = rig[i] = -1;
    for(int i=1; i<=n; i++){
        rm[i][0] = a[i];
        for(int j=1; j<=20; j++){
            if(i - pw[j] + 1 >= 1)
                rm[i][j] = max(rm[i][j - 1] , rm[i - pw[j - 1]][j - 1]);
        }
    }
    //cout << clock() - cl << '\n';
    for(int i=1; i<=n; i++){
        for(int j=0; j<del[i].size(); j++){
            delet(del[i][j]);
        }
        ll in = 0,mx=0;
        dp[i] = 100000000000000;
        for(int j=i; j>=1; j--){
            mx = max(mx , a[j]);
            if(dp[j - 1] + mx * (n - j + 1) < dp[i]){
                in = j - 1;
                dp[i] = min(dp[i] , dp[j - 1] + mx * (n - j + 1));
            }
        }
        dp[i] = dp[mn] + get(mn + 1 , i) * (n - mn);
        rig[i - 1] = i;
        lef[i] = i - 1;
        ll cur = ind(i - 1 , i);
        if(cur != -1)
            del[cur].pb(i - 1);
    }
    //cout << "time: " << clock() - cl << " " << raod << '\n';
    cout << dp[n];
    
    
    return 0;
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:49:13: warning: format '%d' expects argument of type 'int*', but argument 2 has type 'long long int*' [-Wformat=]
   49 |     scanf("%d",&n);
      |            ~^  ~~
      |             |  |
      |             |  long long int*
      |             int*
      |            %lld
Discharging.cpp:51:17: warning: format '%d' expects argument of type 'int*', but argument 2 has type 'long long int*' [-Wformat=]
   51 |         scanf("%d",&a[i]);
      |                ~^  ~~~~~
      |                 |  |
      |                 |  long long int*
      |                 int*
      |                %lld
Discharging.cpp:77:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   77 |         for(int j=0; j<del[i].size(); j++){
      |                      ~^~~~~~~~~~~~~~
Discharging.cpp:80:12: warning: variable 'in' set but not used [-Wunused-but-set-variable]
   80 |         ll in = 0,mx=0;
      |            ^~
Discharging.cpp:53:9: warning: unused variable 'cl' [-Wunused-variable]
   53 |     int cl = clock();
      |         ^~
Discharging.cpp:49:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   49 |     scanf("%d",&n);
      |     ~~~~~^~~~~~~~~
Discharging.cpp:51:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   51 |         scanf("%d",&a[i]);
      |         ~~~~~^~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 31616 KB Output is correct
2 Correct 20 ms 31696 KB Output is correct
3 Correct 20 ms 31608 KB Output is correct
4 Correct 20 ms 31616 KB Output is correct
5 Correct 20 ms 31616 KB Output is correct
6 Correct 20 ms 31616 KB Output is correct
7 Correct 21 ms 31616 KB Output is correct
8 Correct 20 ms 31744 KB Output is correct
9 Correct 20 ms 31616 KB Output is correct
10 Correct 20 ms 31616 KB Output is correct
11 Correct 21 ms 31616 KB Output is correct
12 Correct 20 ms 31744 KB Output is correct
13 Correct 20 ms 31616 KB Output is correct
14 Correct 22 ms 31616 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 32000 KB Output is correct
2 Correct 24 ms 32000 KB Output is correct
3 Correct 24 ms 32000 KB Output is correct
4 Correct 23 ms 32000 KB Output is correct
5 Correct 24 ms 32000 KB Output is correct
6 Correct 26 ms 32000 KB Output is correct
7 Correct 24 ms 32000 KB Output is correct
8 Correct 24 ms 32000 KB Output is correct
9 Correct 25 ms 32000 KB Output is correct
10 Correct 24 ms 31992 KB Output is correct
11 Correct 25 ms 32000 KB Output is correct
12 Correct 23 ms 32000 KB Output is correct
13 Correct 23 ms 32000 KB Output is correct
14 Correct 23 ms 32000 KB Output is correct
15 Correct 23 ms 32000 KB Output is correct

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 32000 KB Output is correct
2 Correct 24 ms 32000 KB Output is correct
3 Correct 24 ms 32000 KB Output is correct
4 Correct 23 ms 32000 KB Output is correct
5 Correct 24 ms 32000 KB Output is correct
6 Correct 26 ms 32000 KB Output is correct
7 Correct 24 ms 32000 KB Output is correct
8 Correct 24 ms 32000 KB Output is correct
9 Correct 25 ms 32000 KB Output is correct
10 Correct 24 ms 31992 KB Output is correct
11 Correct 25 ms 32000 KB Output is correct
12 Correct 23 ms 32000 KB Output is correct
13 Correct 23 ms 32000 KB Output is correct
14 Correct 23 ms 32000 KB Output is correct
15 Correct 23 ms 32000 KB Output is correct
16 Execution timed out 1102 ms 221900 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1105 ms 220596 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 31616 KB Output is correct
2 Correct 20 ms 31696 KB Output is correct
3 Correct 20 ms 31608 KB Output is correct
4 Correct 20 ms 31616 KB Output is correct
5 Correct 20 ms 31616 KB Output is correct
6 Correct 20 ms 31616 KB Output is correct
7 Correct 21 ms 31616 KB Output is correct
8 Correct 20 ms 31744 KB Output is correct
9 Correct 20 ms 31616 KB Output is correct
10 Correct 20 ms 31616 KB Output is correct
11 Correct 21 ms 31616 KB Output is correct
12 Correct 20 ms 31744 KB Output is correct
13 Correct 20 ms 31616 KB Output is correct
14 Correct 22 ms 31616 KB Output is correct
15 Correct 25 ms 32000 KB Output is correct
16 Correct 24 ms 32000 KB Output is correct
17 Correct 24 ms 32000 KB Output is correct
18 Correct 23 ms 32000 KB Output is correct
19 Correct 24 ms 32000 KB Output is correct
20 Correct 26 ms 32000 KB Output is correct
21 Correct 24 ms 32000 KB Output is correct
22 Correct 24 ms 32000 KB Output is correct
23 Correct 25 ms 32000 KB Output is correct
24 Correct 24 ms 31992 KB Output is correct
25 Correct 25 ms 32000 KB Output is correct
26 Correct 23 ms 32000 KB Output is correct
27 Correct 23 ms 32000 KB Output is correct
28 Correct 23 ms 32000 KB Output is correct
29 Correct 23 ms 32000 KB Output is correct
30 Correct 24 ms 32000 KB Output is correct
31 Correct 24 ms 31992 KB Output is correct
32 Correct 25 ms 32000 KB Output is correct
33 Correct 26 ms 32000 KB Output is correct
34 Correct 24 ms 32000 KB Output is correct
35 Correct 25 ms 32000 KB Output is correct
36 Correct 25 ms 32000 KB Output is correct
37 Correct 24 ms 32000 KB Output is correct
38 Correct 25 ms 31992 KB Output is correct
39 Correct 24 ms 32000 KB Output is correct
40 Correct 29 ms 32000 KB Output is correct
41 Correct 24 ms 32000 KB Output is correct
42 Correct 24 ms 32000 KB Output is correct
43 Correct 29 ms 31992 KB Output is correct
44 Correct 24 ms 32000 KB Output is correct
45 Correct 24 ms 32000 KB Output is correct
46 Correct 25 ms 32000 KB Output is correct
47 Correct 24 ms 32000 KB Output is correct
48 Correct 25 ms 32000 KB Output is correct
49 Correct 24 ms 32000 KB Output is correct
50 Correct 24 ms 31972 KB Output is correct

Subtask #6
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 31616 KB Output is correct
2 Correct 20 ms 31696 KB Output is correct
3 Correct 20 ms 31608 KB Output is correct
4 Correct 20 ms 31616 KB Output is correct
5 Correct 20 ms 31616 KB Output is correct
6 Correct 20 ms 31616 KB Output is correct
7 Correct 21 ms 31616 KB Output is correct
8 Correct 20 ms 31744 KB Output is correct
9 Correct 20 ms 31616 KB Output is correct
10 Correct 20 ms 31616 KB Output is correct
11 Correct 21 ms 31616 KB Output is correct
12 Correct 20 ms 31744 KB Output is correct
13 Correct 20 ms 31616 KB Output is correct
14 Correct 22 ms 31616 KB Output is correct
15 Correct 25 ms 32000 KB Output is correct
16 Correct 24 ms 32000 KB Output is correct
17 Correct 24 ms 32000 KB Output is correct
18 Correct 23 ms 32000 KB Output is correct
19 Correct 24 ms 32000 KB Output is correct
20 Correct 26 ms 32000 KB Output is correct
21 Correct 24 ms 32000 KB Output is correct
22 Correct 24 ms 32000 KB Output is correct
23 Correct 25 ms 32000 KB Output is correct
24 Correct 24 ms 31992 KB Output is correct
25 Correct 25 ms 32000 KB Output is correct
26 Correct 23 ms 32000 KB Output is correct
27 Correct 23 ms 32000 KB Output is correct
28 Correct 23 ms 32000 KB Output is correct
29 Correct 23 ms 32000 KB Output is correct
30 Execution timed out 1102 ms 221900 KB Time limit exceeded
31 Halted 0 ms 0 KB -