Submission #395839

# Submission time Handle Problem Language Result Execution time Memory
395839 2021-04-29T03:26:13 Z Qw3rTy Global Warming (CEOI18_glo) C++11
100 / 100
60 ms 5132 KB
#include <bits/stdc++.h>
#define pb push_back
using namespace std;

const int maxN = 2e5+5;

int a[maxN];
int f[maxN]; //length of LIS that ends on a[i]
int g[maxN]; //Length of longest decreasing subsequence that ends at a[i]
int N,d;

bool cmp(const int &a, const int &b){return a > b;}

void testIO(){
    freopen("../test.in","r",stdin);
    return;
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    //testIO();
    cin >> N >> d;
    for(int i = 1; i <= N; ++i)cin >> a[i];
    a[0] = -1;
    //Calculate f
    f[0] = 0;
    vector<int> dp;
    for(int i = 1; i <= N; ++i){
        int pos = lower_bound(dp.begin(),dp.end(),a[i]) - dp.begin();
        if(pos == dp.size())
            dp.pb(a[i]);
        else dp[pos] = a[i];
        f[i] = pos + 1;
    }
    //Calculate g
    g[N+1] = 0;
    dp.clear();
    for(int i = N; i >= 1; --i){
        int pos1 = lower_bound(dp.begin(),dp.end(),a[i] - d, cmp) - dp.begin();
        int pos2 = lower_bound(dp.begin(),dp.end(),a[i],cmp) - dp.begin();
        if(pos2 == dp.size())
            dp.pb(a[i]);
        else dp[pos2] = a[i];
        g[i] = pos1+1;
    }
//    for(int i = N; i >= 1; --i){
//        int pos = lower_bound(dp.begin(),dp.end(),a[i],cmp) - dp.begin();
//        if(pos == dp.size())
//            dp.pb(a[i]);
//        else dp[pos] = a[i];
//        g[i] = pos + 1;
//    }
    //Calculate answer
    int res = f[N]; //Decrease all elements by d is the same as not changing at all = f[N] (basic LIS)
    for(int i = 1; i <= N; ++i){
        res = max(res, f[i] + g[i] - 1);
    }
    cout << res << '\n';
    return 0;
}

Compilation message

glo.cpp: In function 'int main()':
glo.cpp:31:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   31 |         if(pos == dp.size())
      |            ~~~~^~~~~~~~~~~~
glo.cpp:42:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |         if(pos2 == dp.size())
      |            ~~~~~^~~~~~~~~~~~
glo.cpp: In function 'void testIO()':
glo.cpp:15:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   15 |     freopen("../test.in","r",stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 328 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 328 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 58 ms 2644 KB Output is correct
2 Correct 59 ms 2556 KB Output is correct
3 Correct 60 ms 2548 KB Output is correct
4 Correct 60 ms 2616 KB Output is correct
5 Correct 45 ms 3160 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 844 KB Output is correct
2 Correct 14 ms 892 KB Output is correct
3 Correct 14 ms 844 KB Output is correct
4 Correct 13 ms 1100 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1100 KB Output is correct
7 Correct 13 ms 844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 27 ms 1376 KB Output is correct
2 Correct 27 ms 1604 KB Output is correct
3 Correct 57 ms 4556 KB Output is correct
4 Correct 46 ms 4268 KB Output is correct
5 Correct 21 ms 2340 KB Output is correct
6 Correct 34 ms 4164 KB Output is correct
7 Correct 44 ms 4804 KB Output is correct
8 Correct 25 ms 2392 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 328 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 58 ms 2644 KB Output is correct
28 Correct 59 ms 2556 KB Output is correct
29 Correct 60 ms 2548 KB Output is correct
30 Correct 60 ms 2616 KB Output is correct
31 Correct 45 ms 3160 KB Output is correct
32 Correct 14 ms 844 KB Output is correct
33 Correct 14 ms 892 KB Output is correct
34 Correct 14 ms 844 KB Output is correct
35 Correct 13 ms 1100 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 10 ms 1100 KB Output is correct
38 Correct 13 ms 844 KB Output is correct
39 Correct 27 ms 1376 KB Output is correct
40 Correct 27 ms 1604 KB Output is correct
41 Correct 57 ms 4556 KB Output is correct
42 Correct 46 ms 4268 KB Output is correct
43 Correct 21 ms 2340 KB Output is correct
44 Correct 34 ms 4164 KB Output is correct
45 Correct 44 ms 4804 KB Output is correct
46 Correct 25 ms 2392 KB Output is correct
47 Correct 29 ms 2372 KB Output is correct
48 Correct 29 ms 2396 KB Output is correct
49 Correct 60 ms 4564 KB Output is correct
50 Correct 45 ms 4388 KB Output is correct
51 Correct 40 ms 3368 KB Output is correct
52 Correct 45 ms 4424 KB Output is correct
53 Correct 38 ms 4364 KB Output is correct
54 Correct 51 ms 5132 KB Output is correct
55 Correct 51 ms 4548 KB Output is correct