Submission #473730

# Submission time Handle Problem Language Result Execution time Memory
473730 2021-09-16T02:41:30 Z Lam_lai_cuoc_doi Bigger segments (IZhO19_segments) C++17
100 / 100
98 ms 12920 KB
#define task "PARTITION"

#include <iostream>
#include <cstdio>
#include <vector>
#include <algorithm>

using namespace std;

using ll = long long;
using ld = long double;

template <class T>
void read(T &x)
{
    x = 0;
    register int c;
    while ((c = getchar()) && (c > '9' || c < '0'))
        ;
    for (; c >= '0' && c <= '9'; c = getchar())
        x = x * 10 + c - '0';
}

constexpr int N = 5e5 + 5;
constexpr int Inf = 1e9 + 7;
int n, pre[N], ans[N];
ll a[N];

void Read()
{
    cin >> n;
    //read(n);
    for (int i = 1; i <= n; ++i)
        cin >> a[i];
    //read(a[i]);
    //reverse(a + 1, a + n + 1);

    for (int i = 1; i <= n; ++i)
        a[i] += a[i - 1];
}

void Sub_1()
{
    vector<vector<int>> dp(n + 5, vector<int>(n + 5, -Inf));

    dp[0][0] = 0;

    for (int i = 1; i <= n; ++i)
    {
        for (int j = i - 1, t = i - 2; j >= 0; --j)
        {
            if (t >= j)
                --t;
            while (t >= 0 && a[i] - a[j] >= a[j] - a[t])
                --t;
            dp[i][j] = max(dp[i][j + 1], dp[j][t + 1] + 1);
        }
    }

    cout << dp[n][0];
}

void Greedy()
{
    for (int i = 1; i <= n; ++i)
    {
        pre[i] = max(pre[i], pre[i - 1]);

        ans[i] = ans[pre[i]] + 1;

        int j = lower_bound(a + 1, a + n + 1, a[i] * 2 - a[pre[i]]) - a;

        pre[j] = max(pre[j], i);
    }

    cout << ans[n];
}

int32_t main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    if (fopen(task ".INP", "r"))
    {
        freopen(task ".INP", "r", stdin);
        freopen(task ".OUT", "w", stdout);
    }
    Read();
    if (n <= 1000)
        Sub_1();
    else
        Greedy();
}

Compilation message

segments.cpp: In function 'void read(T&)':
segments.cpp:17:18: warning: ISO C++17 does not allow 'register' storage class specifier [-Wregister]
   17 |     register int c;
      |                  ^
segments.cpp: In function 'int32_t main()':
segments.cpp:86:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   86 |         freopen(task ".INP", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
segments.cpp:87:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   87 |         freopen(task ".OUT", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 2 ms 1228 KB Output is correct
17 Correct 2 ms 1228 KB Output is correct
18 Correct 2 ms 1228 KB Output is correct
19 Correct 2 ms 1228 KB Output is correct
20 Correct 2 ms 1228 KB Output is correct
21 Correct 2 ms 1228 KB Output is correct
22 Correct 2 ms 972 KB Output is correct
23 Correct 1 ms 588 KB Output is correct
24 Correct 2 ms 1228 KB Output is correct
25 Correct 2 ms 1228 KB Output is correct
26 Correct 2 ms 1228 KB Output is correct
27 Correct 2 ms 1228 KB Output is correct
28 Correct 2 ms 1228 KB Output is correct
29 Correct 2 ms 1228 KB Output is correct
30 Correct 2 ms 1228 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 2 ms 1228 KB Output is correct
17 Correct 2 ms 1228 KB Output is correct
18 Correct 2 ms 1228 KB Output is correct
19 Correct 2 ms 1228 KB Output is correct
20 Correct 2 ms 1228 KB Output is correct
21 Correct 2 ms 1228 KB Output is correct
22 Correct 2 ms 972 KB Output is correct
23 Correct 1 ms 588 KB Output is correct
24 Correct 2 ms 1228 KB Output is correct
25 Correct 2 ms 1228 KB Output is correct
26 Correct 2 ms 1228 KB Output is correct
27 Correct 2 ms 1228 KB Output is correct
28 Correct 2 ms 1228 KB Output is correct
29 Correct 2 ms 1228 KB Output is correct
30 Correct 2 ms 1228 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 2 ms 1228 KB Output is correct
17 Correct 2 ms 1228 KB Output is correct
18 Correct 2 ms 1228 KB Output is correct
19 Correct 2 ms 1228 KB Output is correct
20 Correct 2 ms 1228 KB Output is correct
21 Correct 2 ms 1228 KB Output is correct
22 Correct 2 ms 972 KB Output is correct
23 Correct 1 ms 588 KB Output is correct
24 Correct 2 ms 1228 KB Output is correct
25 Correct 2 ms 1228 KB Output is correct
26 Correct 2 ms 1228 KB Output is correct
27 Correct 2 ms 1228 KB Output is correct
28 Correct 2 ms 1228 KB Output is correct
29 Correct 2 ms 1228 KB Output is correct
30 Correct 2 ms 1228 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 12 ms 2252 KB Output is correct
47 Correct 17 ms 2252 KB Output is correct
48 Correct 19 ms 2688 KB Output is correct
49 Correct 19 ms 2764 KB Output is correct
50 Correct 21 ms 2868 KB Output is correct
51 Correct 19 ms 2764 KB Output is correct
52 Correct 10 ms 1492 KB Output is correct
53 Correct 6 ms 1100 KB Output is correct
54 Correct 14 ms 1996 KB Output is correct
55 Correct 19 ms 2748 KB Output is correct
56 Correct 16 ms 2268 KB Output is correct
57 Correct 14 ms 2252 KB Output is correct
58 Correct 15 ms 2284 KB Output is correct
59 Correct 17 ms 2392 KB Output is correct
60 Correct 17 ms 2380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 2 ms 1228 KB Output is correct
17 Correct 2 ms 1228 KB Output is correct
18 Correct 2 ms 1228 KB Output is correct
19 Correct 2 ms 1228 KB Output is correct
20 Correct 2 ms 1228 KB Output is correct
21 Correct 2 ms 1228 KB Output is correct
22 Correct 2 ms 972 KB Output is correct
23 Correct 1 ms 588 KB Output is correct
24 Correct 2 ms 1228 KB Output is correct
25 Correct 2 ms 1228 KB Output is correct
26 Correct 2 ms 1228 KB Output is correct
27 Correct 2 ms 1228 KB Output is correct
28 Correct 2 ms 1228 KB Output is correct
29 Correct 2 ms 1228 KB Output is correct
30 Correct 2 ms 1228 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 12 ms 2252 KB Output is correct
47 Correct 17 ms 2252 KB Output is correct
48 Correct 19 ms 2688 KB Output is correct
49 Correct 19 ms 2764 KB Output is correct
50 Correct 21 ms 2868 KB Output is correct
51 Correct 19 ms 2764 KB Output is correct
52 Correct 10 ms 1492 KB Output is correct
53 Correct 6 ms 1100 KB Output is correct
54 Correct 14 ms 1996 KB Output is correct
55 Correct 19 ms 2748 KB Output is correct
56 Correct 16 ms 2268 KB Output is correct
57 Correct 14 ms 2252 KB Output is correct
58 Correct 15 ms 2284 KB Output is correct
59 Correct 17 ms 2392 KB Output is correct
60 Correct 17 ms 2380 KB Output is correct
61 Correct 60 ms 10040 KB Output is correct
62 Correct 62 ms 10072 KB Output is correct
63 Correct 73 ms 10436 KB Output is correct
64 Correct 96 ms 12612 KB Output is correct
65 Correct 98 ms 12912 KB Output is correct
66 Correct 97 ms 12848 KB Output is correct
67 Correct 75 ms 10492 KB Output is correct
68 Correct 39 ms 5312 KB Output is correct
69 Correct 69 ms 9164 KB Output is correct
70 Correct 95 ms 12920 KB Output is correct
71 Correct 75 ms 10052 KB Output is correct
72 Correct 70 ms 10436 KB Output is correct
73 Correct 79 ms 11060 KB Output is correct
74 Correct 84 ms 11380 KB Output is correct
75 Correct 84 ms 11376 KB Output is correct