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답안 #519563

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
519563 2022-01-26T16:51:40 Z Dasha_Gnedko Bigger segments (IZhO19_segments) C++17
100 / 100
 253 ms 69780 KB 
#include <bits/stdc++.h>

//#include <ext/pb_ds/detail/standard_policies.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>

//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx2")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4")

using namespace std;

//using namespace __gnu_pbds;
//template <typename T> using ordered_set = tree <T, null_type, less < T >, rb_tree_tag, tree_order_statistics_node_update>;

mt19937 gen(time(0));

#define ll long long
#define ld long double
#define pb push_back
#define F first
#define S second
#define TIME clock() * 1.0 / CLOCKS_PER_SEC
#define sz(a) int32_t(a.size())
#define endl '\n'
//#define int long long

const int N = 5e5 + 100;
const int M = 31;
const int mod = 1e9 + 7;
const ll inf = 1e18 + 7;

ll pref[N];
int a[N];
vector < int > add[N];
set < int > st;
pair < int, ll > dp[N];

ll get(int l, int r)
{
    if (l > r) return 0;
    ll ans = pref[r];
    if (l) ans -= pref[l - 1];
    return ans;
}

void upd(pair < int, ll > &a, pair < int, ll > b)
{
    if (a.F < b.F) a = b;
    else if (a.F == b.F) a.S = min(a.S, b.S);
}

int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#else
//    freopen("input.txt", "r", stdin);
//    freopen("output.txt", "w", stdout);
#endif // LOCAL

    int n;
    cin >> n;
    for(int i = 0; i < n; i++)
    {
        cin >> a[i];
        if (i) pref[i] = pref[i - 1];
        pref[i] += a[i];
    }
    dp[0] = {1, a[0]};
    for(int i = 0; i < n; i++)
    {
        dp[i] = {1, pref[i]};
        if (i) dp[i] = {dp[i - 1].F, dp[i - 1].S + a[i]};
        for(auto to: add[i])
            st.insert(to);
        if (sz(st))
        {
            int j = *st.rbegin();
            int l = j, r = i - 1;
            while (l <= r)
            {
                int mid = (l + r) / 2;
                if (dp[j].S + get(j + 1, mid) <= get(mid + 1, i))
                {
                    upd(dp[i], {dp[j].F + 1, get(mid + 1, i)});
                    l = mid + 1;
                }
                else r = mid - 1;
            }
        }
        int l = i + 1, r = n - 1, gr = n;
        while (l <= r)
        {
            int mid = (l + r) / 2;
            ll cnt = pref[mid] - pref[i];
            if (cnt >= dp[i].S)
            {
                gr = mid;
                r = mid - 1;
            }
            else l = mid + 1;
        }
        add[gr].pb(i);
    }
    cout << dp[n - 1].F;
}

Subtask #1
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 11980 KB Output is correct
2 Correct 7 ms 11980 KB Output is correct
3 Correct 6 ms 11980 KB Output is correct
4 Correct 6 ms 12080 KB Output is correct
5 Correct 6 ms 11980 KB Output is correct
6 Correct 6 ms 11980 KB Output is correct
7 Correct 6 ms 11980 KB Output is correct
8 Correct 6 ms 11980 KB Output is correct
9 Correct 6 ms 11980 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 11980 KB Output is correct
12 Correct 6 ms 11980 KB Output is correct
13 Correct 6 ms 12080 KB Output is correct
14 Correct 7 ms 11980 KB Output is correct
15 Correct 6 ms 11980 KB Output is correct

Subtask #2
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 11980 KB Output is correct
2 Correct 7 ms 11980 KB Output is correct
3 Correct 6 ms 11980 KB Output is correct
4 Correct 6 ms 12080 KB Output is correct
5 Correct 6 ms 11980 KB Output is correct
6 Correct 6 ms 11980 KB Output is correct
7 Correct 6 ms 11980 KB Output is correct
8 Correct 6 ms 11980 KB Output is correct
9 Correct 6 ms 11980 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 11980 KB Output is correct
12 Correct 6 ms 11980 KB Output is correct
13 Correct 6 ms 12080 KB Output is correct
14 Correct 7 ms 11980 KB Output is correct
15 Correct 6 ms 11980 KB Output is correct
16 Correct 6 ms 11980 KB Output is correct
17 Correct 6 ms 12048 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 7 ms 12120 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 6 ms 12136 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 6 ms 12108 KB Output is correct
30 Correct 8 ms 12108 KB Output is correct

Subtask #3
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 11980 KB Output is correct
2 Correct 7 ms 11980 KB Output is correct
3 Correct 6 ms 11980 KB Output is correct
4 Correct 6 ms 12080 KB Output is correct
5 Correct 6 ms 11980 KB Output is correct
6 Correct 6 ms 11980 KB Output is correct
7 Correct 6 ms 11980 KB Output is correct
8 Correct 6 ms 11980 KB Output is correct
9 Correct 6 ms 11980 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 11980 KB Output is correct
12 Correct 6 ms 11980 KB Output is correct
13 Correct 6 ms 12080 KB Output is correct
14 Correct 7 ms 11980 KB Output is correct
15 Correct 6 ms 11980 KB Output is correct
16 Correct 6 ms 11980 KB Output is correct
17 Correct 6 ms 12048 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 7 ms 12120 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 6 ms 12136 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 6 ms 12108 KB Output is correct
30 Correct 8 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 7 ms 12236 KB Output is correct
33 Correct 6 ms 12364 KB Output is correct
34 Correct 7 ms 12236 KB Output is correct
35 Correct 7 ms 12364 KB Output is correct
36 Correct 7 ms 12364 KB Output is correct
37 Correct 7 ms 12236 KB Output is correct
38 Correct 7 ms 12236 KB Output is correct
39 Correct 7 ms 12236 KB Output is correct
40 Correct 7 ms 12388 KB Output is correct
41 Correct 7 ms 12340 KB Output is correct
42 Correct 9 ms 12364 KB Output is correct
43 Correct 7 ms 12364 KB Output is correct
44 Correct 7 ms 12372 KB Output is correct
45 Correct 7 ms 12364 KB Output is correct

Subtask #4
36.0 / 36.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 11980 KB Output is correct
2 Correct 7 ms 11980 KB Output is correct
3 Correct 6 ms 11980 KB Output is correct
4 Correct 6 ms 12080 KB Output is correct
5 Correct 6 ms 11980 KB Output is correct
6 Correct 6 ms 11980 KB Output is correct
7 Correct 6 ms 11980 KB Output is correct
8 Correct 6 ms 11980 KB Output is correct
9 Correct 6 ms 11980 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 11980 KB Output is correct
12 Correct 6 ms 11980 KB Output is correct
13 Correct 6 ms 12080 KB Output is correct
14 Correct 7 ms 11980 KB Output is correct
15 Correct 6 ms 11980 KB Output is correct
16 Correct 6 ms 11980 KB Output is correct
17 Correct 6 ms 12048 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 7 ms 12120 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 6 ms 12136 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 6 ms 12108 KB Output is correct
30 Correct 8 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 7 ms 12236 KB Output is correct
33 Correct 6 ms 12364 KB Output is correct
34 Correct 7 ms 12236 KB Output is correct
35 Correct 7 ms 12364 KB Output is correct
36 Correct 7 ms 12364 KB Output is correct
37 Correct 7 ms 12236 KB Output is correct
38 Correct 7 ms 12236 KB Output is correct
39 Correct 7 ms 12236 KB Output is correct
40 Correct 7 ms 12388 KB Output is correct
41 Correct 7 ms 12340 KB Output is correct
42 Correct 9 ms 12364 KB Output is correct
43 Correct 7 ms 12364 KB Output is correct
44 Correct 7 ms 12372 KB Output is correct
45 Correct 7 ms 12364 KB Output is correct
46 Correct 16 ms 15264 KB Output is correct
47 Correct 39 ms 21136 KB Output is correct
48 Correct 43 ms 21940 KB Output is correct
49 Correct 46 ms 22780 KB Output is correct
50 Correct 44 ms 23592 KB Output is correct
51 Correct 45 ms 22352 KB Output is correct
52 Correct 25 ms 17208 KB Output is correct
53 Correct 17 ms 15168 KB Output is correct
54 Correct 40 ms 21308 KB Output is correct
55 Correct 42 ms 23084 KB Output is correct
56 Correct 42 ms 22992 KB Output is correct
57 Correct 40 ms 21800 KB Output is correct
58 Correct 42 ms 22360 KB Output is correct
59 Correct 42 ms 23148 KB Output is correct
60 Correct 39 ms 23152 KB Output is correct

Subtask #5
27.0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 11980 KB Output is correct
2 Correct 7 ms 11980 KB Output is correct
3 Correct 6 ms 11980 KB Output is correct
4 Correct 6 ms 12080 KB Output is correct
5 Correct 6 ms 11980 KB Output is correct
6 Correct 6 ms 11980 KB Output is correct
7 Correct 6 ms 11980 KB Output is correct
8 Correct 6 ms 11980 KB Output is correct
9 Correct 6 ms 11980 KB Output is correct
10 Correct 7 ms 11980 KB Output is correct
11 Correct 7 ms 11980 KB Output is correct
12 Correct 6 ms 11980 KB Output is correct
13 Correct 6 ms 12080 KB Output is correct
14 Correct 7 ms 11980 KB Output is correct
15 Correct 6 ms 11980 KB Output is correct
16 Correct 6 ms 11980 KB Output is correct
17 Correct 6 ms 12048 KB Output is correct
18 Correct 6 ms 12108 KB Output is correct
19 Correct 7 ms 12120 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 6 ms 12136 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 6 ms 12108 KB Output is correct
30 Correct 8 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 7 ms 12236 KB Output is correct
33 Correct 6 ms 12364 KB Output is correct
34 Correct 7 ms 12236 KB Output is correct
35 Correct 7 ms 12364 KB Output is correct
36 Correct 7 ms 12364 KB Output is correct
37 Correct 7 ms 12236 KB Output is correct
38 Correct 7 ms 12236 KB Output is correct
39 Correct 7 ms 12236 KB Output is correct
40 Correct 7 ms 12388 KB Output is correct
41 Correct 7 ms 12340 KB Output is correct
42 Correct 9 ms 12364 KB Output is correct
43 Correct 7 ms 12364 KB Output is correct
44 Correct 7 ms 12372 KB Output is correct
45 Correct 7 ms 12364 KB Output is correct
46 Correct 16 ms 15264 KB Output is correct
47 Correct 39 ms 21136 KB Output is correct
48 Correct 43 ms 21940 KB Output is correct
49 Correct 46 ms 22780 KB Output is correct
50 Correct 44 ms 23592 KB Output is correct
51 Correct 45 ms 22352 KB Output is correct
52 Correct 25 ms 17208 KB Output is correct
53 Correct 17 ms 15168 KB Output is correct
54 Correct 40 ms 21308 KB Output is correct
55 Correct 42 ms 23084 KB Output is correct
56 Correct 42 ms 22992 KB Output is correct
57 Correct 40 ms 21800 KB Output is correct
58 Correct 42 ms 22360 KB Output is correct
59 Correct 42 ms 23148 KB Output is correct
60 Correct 39 ms 23152 KB Output is correct
61 Correct 73 ms 29744 KB Output is correct
62 Correct 146 ms 43072 KB Output is correct
63 Correct 190 ms 56388 KB Output is correct
64 Correct 205 ms 64836 KB Output is correct
65 Correct 253 ms 69780 KB Output is correct
66 Correct 221 ms 63460 KB Output is correct
67 Correct 169 ms 53224 KB Output is correct
68 Correct 82 ms 32564 KB Output is correct
69 Correct 183 ms 58864 KB Output is correct
70 Correct 193 ms 67524 KB Output is correct
71 Correct 212 ms 66960 KB Output is correct
72 Correct 207 ms 61764 KB Output is correct
73 Correct 211 ms 65680 KB Output is correct
74 Correct 211 ms 68156 KB Output is correct
75 Correct 203 ms 68068 KB Output is correct