oj.uz

Submission #1001399

# Submission time Handle Problem Language Result Execution time Memory
1001399 2024-06-19T02:54:04 Z GrindMachine Bigger segments (IZhO19_segments) C++17
100 / 100
 155 ms 99156 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

/*

refs:
https://codeforces.com/blog/entry/64479?#comment-484350

dp[i][j] = max k s.t [k..i] is the last segment and #of jumps = j
only consider the best 2 j works because:
dp[i][j] >= dp[i][j-2] (for all valid j)
can be proved by induction

*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

void solve(int test_case)
{
    ll n; cin >> n;
    vector<ll> a(n+5);
    rep1(i,n) cin >> a[i];
    vector<ll> p(n+5);
    rep1(i,n) p[i] = p[i-1]+a[i];

    vector<map<ll,ll>> dp(n+5);
    dp[1][0] = 0;

    rep1(i,n){
        while(sz(dp[i]) > 2){
            dp[i].erase(dp[i].begin());
        }

        for(auto [j,k] : dp[i]){
            // append
            amax(dp[i+1][j],dp[i][j]);

            // jump
            ll sum1 = p[i]-p[k];
            ll pos = lower_bound(p.begin()+1,p.begin()+n+1,sum1+p[i])-p.begin();
            amax(dp[pos][j+1],(ll)i);
        }
    }

    ll ans = dp[n].rbegin()->first+1;
    cout << ans << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 428 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 428 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 428 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 604 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 856 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 1 ms 860 KB Output is correct
36 Correct 1 ms 872 KB Output is correct
37 Correct 1 ms 860 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 860 KB Output is correct
40 Correct 1 ms 860 KB Output is correct
41 Correct 1 ms 860 KB Output is correct
42 Correct 1 ms 860 KB Output is correct
43 Correct 1 ms 860 KB Output is correct
44 Correct 1 ms 860 KB Output is correct
45 Correct 1 ms 860 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 428 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 604 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 856 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 1 ms 860 KB Output is correct
36 Correct 1 ms 872 KB Output is correct
37 Correct 1 ms 860 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 860 KB Output is correct
40 Correct 1 ms 860 KB Output is correct
41 Correct 1 ms 860 KB Output is correct
42 Correct 1 ms 860 KB Output is correct
43 Correct 1 ms 860 KB Output is correct
44 Correct 1 ms 860 KB Output is correct
45 Correct 1 ms 860 KB Output is correct
46 Correct 17 ms 13144 KB Output is correct
47 Correct 25 ms 19180 KB Output is correct
48 Correct 29 ms 20060 KB Output is correct
49 Correct 32 ms 20048 KB Output is correct
50 Correct 26 ms 20052 KB Output is correct
51 Correct 25 ms 20080 KB Output is correct
52 Correct 14 ms 10332 KB Output is correct
53 Correct 9 ms 6236 KB Output is correct
54 Correct 26 ms 19292 KB Output is correct
55 Correct 29 ms 20064 KB Output is correct
56 Correct 28 ms 19560 KB Output is correct
57 Correct 25 ms 19560 KB Output is correct
58 Correct 25 ms 19476 KB Output is correct
59 Correct 28 ms 19688 KB Output is correct
60 Correct 28 ms 19816 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 428 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 604 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 856 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 1 ms 860 KB Output is correct
36 Correct 1 ms 872 KB Output is correct
37 Correct 1 ms 860 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 860 KB Output is correct
40 Correct 1 ms 860 KB Output is correct
41 Correct 1 ms 860 KB Output is correct
42 Correct 1 ms 860 KB Output is correct
43 Correct 1 ms 860 KB Output is correct
44 Correct 1 ms 860 KB Output is correct
45 Correct 1 ms 860 KB Output is correct
46 Correct 17 ms 13144 KB Output is correct
47 Correct 25 ms 19180 KB Output is correct
48 Correct 29 ms 20060 KB Output is correct
49 Correct 32 ms 20048 KB Output is correct
50 Correct 26 ms 20052 KB Output is correct
51 Correct 25 ms 20080 KB Output is correct
52 Correct 14 ms 10332 KB Output is correct
53 Correct 9 ms 6236 KB Output is correct
54 Correct 26 ms 19292 KB Output is correct
55 Correct 29 ms 20064 KB Output is correct
56 Correct 28 ms 19560 KB Output is correct
57 Correct 25 ms 19560 KB Output is correct
58 Correct 25 ms 19476 KB Output is correct
59 Correct 28 ms 19688 KB Output is correct
60 Correct 28 ms 19816 KB Output is correct
61 Correct 67 ms 65020 KB Output is correct
62 Correct 74 ms 80656 KB Output is correct
63 Correct 127 ms 93480 KB Output is correct
64 Correct 155 ms 98820 KB Output is correct
65 Correct 138 ms 99156 KB Output is correct
66 Correct 130 ms 99156 KB Output is correct
67 Correct 119 ms 79356 KB Output is correct
68 Correct 52 ms 39764 KB Output is correct
69 Correct 121 ms 95416 KB Output is correct
70 Correct 137 ms 99084 KB Output is correct
71 Correct 129 ms 96340 KB Output is correct
72 Correct 141 ms 96624 KB Output is correct
73 Correct 125 ms 97120 KB Output is correct
74 Correct 137 ms 97620 KB Output is correct
75 Correct 124 ms 97536 KB Output is correct