Submission #344011

# Submission time Handle Problem Language Result Execution time Memory
344011 2021-01-05T04:04:31 Z IZhO_2021_I_want_Silver Bigger segments (IZhO19_segments) C++14
100 / 100
97 ms 20972 KB
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,sse3,sse4,popcnt,abm,mmx")

#include <iostream>
#include <algorithm>
#include <vector>
#include <cmath>
#include <set>
#include <map>
#include <iomanip>
#include <cassert>
#include <stack>
#include <queue>
#include <deque>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>-

using namespace std;
//using namespace __gnu_pbds;

typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;

// template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
//  order_of_key (k) : Number of items strictly smaller than k .
//  find_by_order(k) : K-th element in a set (counting from zero).
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define pb push_back
#define ppb pop_back
#define mkp make_pair
#define F first
#define S second
#define lb lower_bound
#define ub upper_bound
#define show(a) cerr << #a <<" -> "<< a <<" "
#define nl cerr <<"\n"
#define int ll

const int N = 5e5 + 5;
const int oo = 1e15 + 5;

int n, a[N], sum[N], dp[N], ind[N];

void solve() {
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        cin >> a[i];
        sum[i] = sum[i-1] + a[i];
    }
    ind[1] = 0;
    for (int j = 1; j <= n; ++j) {
        // sum[j] - sum[k] <= sum[i] - sum[j]
        // ind[j] -> k <= j <= bin_search -> i
        // sum[j] + sum[j] - sum[ind[j]]] <= sum[i]
        // ind[i] = max(j, ind[1, 2, ..., i-1])
        ind[j] = max(ind[j-1], ind[j]);
        dp[j] = max(dp[j-1], dp[ind[j]] + 1);
        int l = 1, r = n;
        while (l < r) {
            int mid = (l + r) / 2;
            if (sum[j] + sum[j] - sum[ind[j]] <= sum[mid]) r = mid;
            else l = mid + 1;
        }
        if (sum[j] + sum[j] - sum[ind[j]] <= sum[r]) { ind[r] = j; }
    }
    //for (int i = 1; i <= n; ++i) { show(i); show(ind[i]); nl;}
    cout << dp[n];
}
/*7
5 1 4 5 3 9 9 */
 main () {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	int tests = 1;
	//cin >> tests;
	while (tests --) {
		solve();
	}
	return 0;
}
/*
    Just Chalish!
*/

Compilation message

segments.cpp:73:8: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   73 |  main () {
      |        ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 492 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 1 ms 492 KB Output is correct
35 Correct 1 ms 492 KB Output is correct
36 Correct 1 ms 492 KB Output is correct
37 Correct 1 ms 492 KB Output is correct
38 Correct 1 ms 492 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 1 ms 492 KB Output is correct
41 Correct 1 ms 492 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 492 KB Output is correct
44 Correct 1 ms 492 KB Output is correct
45 Correct 1 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 492 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 1 ms 492 KB Output is correct
35 Correct 1 ms 492 KB Output is correct
36 Correct 1 ms 492 KB Output is correct
37 Correct 1 ms 492 KB Output is correct
38 Correct 1 ms 492 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 1 ms 492 KB Output is correct
41 Correct 1 ms 492 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 492 KB Output is correct
44 Correct 1 ms 492 KB Output is correct
45 Correct 1 ms 492 KB Output is correct
46 Correct 13 ms 3564 KB Output is correct
47 Correct 14 ms 3564 KB Output is correct
48 Correct 17 ms 3564 KB Output is correct
49 Correct 19 ms 4460 KB Output is correct
50 Correct 21 ms 4460 KB Output is correct
51 Correct 19 ms 4460 KB Output is correct
52 Correct 10 ms 2412 KB Output is correct
53 Correct 6 ms 1644 KB Output is correct
54 Correct 14 ms 3692 KB Output is correct
55 Correct 19 ms 4460 KB Output is correct
56 Correct 16 ms 3948 KB Output is correct
57 Correct 15 ms 3948 KB Output is correct
58 Correct 15 ms 3948 KB Output is correct
59 Correct 17 ms 4076 KB Output is correct
60 Correct 19 ms 4076 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 492 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 1 ms 492 KB Output is correct
35 Correct 1 ms 492 KB Output is correct
36 Correct 1 ms 492 KB Output is correct
37 Correct 1 ms 492 KB Output is correct
38 Correct 1 ms 492 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 1 ms 492 KB Output is correct
41 Correct 1 ms 492 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 492 KB Output is correct
44 Correct 1 ms 492 KB Output is correct
45 Correct 1 ms 492 KB Output is correct
46 Correct 13 ms 3564 KB Output is correct
47 Correct 14 ms 3564 KB Output is correct
48 Correct 17 ms 3564 KB Output is correct
49 Correct 19 ms 4460 KB Output is correct
50 Correct 21 ms 4460 KB Output is correct
51 Correct 19 ms 4460 KB Output is correct
52 Correct 10 ms 2412 KB Output is correct
53 Correct 6 ms 1644 KB Output is correct
54 Correct 14 ms 3692 KB Output is correct
55 Correct 19 ms 4460 KB Output is correct
56 Correct 16 ms 3948 KB Output is correct
57 Correct 15 ms 3948 KB Output is correct
58 Correct 15 ms 3948 KB Output is correct
59 Correct 17 ms 4076 KB Output is correct
60 Correct 19 ms 4076 KB Output is correct
61 Correct 64 ms 18028 KB Output is correct
62 Correct 62 ms 17900 KB Output is correct
63 Correct 76 ms 18412 KB Output is correct
64 Correct 94 ms 20588 KB Output is correct
65 Correct 96 ms 20972 KB Output is correct
66 Correct 94 ms 20972 KB Output is correct
67 Correct 74 ms 16748 KB Output is correct
68 Correct 37 ms 8556 KB Output is correct
69 Correct 68 ms 17152 KB Output is correct
70 Correct 97 ms 20844 KB Output is correct
71 Correct 78 ms 17944 KB Output is correct
72 Correct 71 ms 18284 KB Output is correct
73 Correct 79 ms 18924 KB Output is correct
74 Correct 87 ms 19308 KB Output is correct
75 Correct 85 ms 19308 KB Output is correct