oj.uz

Submission #1001402

# Submission time Handle Problem Language Result Execution time Memory
1001402 2024-06-19T02:55:23 Z GrindMachine Bigger segments (IZhO19_segments) C++17
100 / 100
 171 ms 94340 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 considering the best 2 j values 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 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 0 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 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 344 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 1 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 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 0 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 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 344 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 1 ms 348 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 860 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 860 KB Output is correct
37 Correct 1 ms 860 KB Output is correct
38 Correct 1 ms 600 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 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 0 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 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 344 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 1 ms 348 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 860 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 860 KB Output is correct
37 Correct 1 ms 860 KB Output is correct
38 Correct 1 ms 600 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 12892 KB Output is correct
47 Correct 26 ms 18764 KB Output is correct
48 Correct 37 ms 19020 KB Output is correct
49 Correct 31 ms 19224 KB Output is correct
50 Correct 39 ms 19028 KB Output is correct
51 Correct 28 ms 19032 KB Output is correct
52 Correct 15 ms 9820 KB Output is correct
53 Correct 8 ms 5944 KB Output is correct
54 Correct 25 ms 19036 KB Output is correct
55 Correct 28 ms 19024 KB Output is correct
56 Correct 29 ms 19036 KB Output is correct
57 Correct 26 ms 19036 KB Output is correct
58 Correct 25 ms 19032 KB Output is correct
59 Correct 28 ms 19032 KB Output is correct
60 Correct 34 ms 19036 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 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 0 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 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 344 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 1 ms 348 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 860 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 860 KB Output is correct
37 Correct 1 ms 860 KB Output is correct
38 Correct 1 ms 600 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 12892 KB Output is correct
47 Correct 26 ms 18764 KB Output is correct
48 Correct 37 ms 19020 KB Output is correct
49 Correct 31 ms 19224 KB Output is correct
50 Correct 39 ms 19028 KB Output is correct
51 Correct 28 ms 19032 KB Output is correct
52 Correct 15 ms 9820 KB Output is correct
53 Correct 8 ms 5944 KB Output is correct
54 Correct 25 ms 19036 KB Output is correct
55 Correct 28 ms 19024 KB Output is correct
56 Correct 29 ms 19036 KB Output is correct
57 Correct 26 ms 19036 KB Output is correct
58 Correct 25 ms 19032 KB Output is correct
59 Correct 28 ms 19032 KB Output is correct
60 Correct 34 ms 19036 KB Output is correct
61 Correct 64 ms 62996 KB Output is correct
62 Correct 95 ms 78676 KB Output is correct
63 Correct 131 ms 91216 KB Output is correct
64 Correct 170 ms 94292 KB Output is correct
65 Correct 158 ms 94208 KB Output is correct
66 Correct 145 ms 94288 KB Output is correct
67 Correct 114 ms 75532 KB Output is correct
68 Correct 57 ms 37916 KB Output is correct
69 Correct 126 ms 94292 KB Output is correct
70 Correct 148 ms 94340 KB Output is correct
71 Correct 171 ms 94288 KB Output is correct
72 Correct 125 ms 94232 KB Output is correct
73 Correct 139 ms 94144 KB Output is correct
74 Correct 143 ms 94220 KB Output is correct
75 Correct 143 ms 94216 KB Output is correct