Submission #1103147

# Submission time Handle Problem Language Result Execution time Memory
1103147 2024-10-20T09:24:46 Z DuongKiet Feast (NOI19_feast) C++17
100 / 100
101 ms 12360 KB
#include <bits/stdc++.h>
#define N 300005
#define inf (long long) 1e17
#define ll long long
#define int long long
#define ii pair <int,long long>
#define fi first
#define se second
#define all(x) x.begin(),x.end()
#define pb push_back

using namespace std;

const unsigned ll Mod = 1000000007LL;

int n, k, a[N];
void init(){

    cin >> n >> k;
    for (int i = 1; i <= n; i++)
        cin >> a[i];
}
bool ifsub1(){

    for (int i = 1; i <= n; i++)
        if (a[i] < 0) return 0;
    return 1;
}
void sub1(){

    int ans = 0;
    for (int i = 1; i <= n; i++)
        ans += a[i];
    cout << ans << '\n';
}
int pos;
bool ifsub2(){

    int cnt = 0;
    for (int i = 1; i <= n; i++)
        if (a[i] < 0) {pos = a[i]; cnt++;}
    return (cnt < 2);
}
void sub2(){

    int sum = 0, suml = 0, am = 0;
    bool kt = 0;
    for (int i = 1; i <= n; i++){
        if (a[i] < 0) {
            kt = 1;
            am = a[i];
        }
        if (!kt) suml += a[i];
        sum += a[i];
    }
    if (k > 1)
        cout << sum - am << '\n';
    else cout << max(suml, max(sum, sum - suml - am));
}
void sub3(){
    int ans = 0, res = 0;
    for (int i = 1; i <= n; i++) {
        res = max(0ll, res + a[i]);
        ans = max(ans, res);
    }
    cout << ans << '\n';
}
//int pa[N], sz[N];
//int findpa(int u){
//
//    if (u == pa[u]) return u;
//    return pa[u] = findpa(pa[u]);
//}
//void Union(int a, int b){
//
//    a = findpa(a);
//    b = findpa(b);
//    if (a == b) return;
//    if (sz[a] < sz[b]) swap(a,b);
//    pa[b] = a;
//    sz[a] += sz[b];
//    sum[a] += sum[b];
//}
//vector <ii> d;
//void Add(int u){
//    d.pb({u, sum[u]});
//}
//void sub6(){
//    for (int i = 1; i <= n; i++){
//        pa[i] = i;
//        sz[i] = 1;
//        sum[i] = a[i];
//    }
//    int parduong, param;
//    bool task = 0;
//    if (a[1] >= 0) {parduong = 1; task = 1;}
//    else param = 1;
//    for (int i = 1; i <= n; i++){
//        if (a[i] >= 0) {
//            if (task)
//                Union(parduong, i);
//            else parduong = i;
//            task = 1;
//        }
//        else {
//            if (!task) Union(param, i);
//            else param = i;
//            task = 0;
//        }
//    }
//    int curpa = findpa(1);
//    Add(curpa);
//    for (int i = 1; i <= n; i++){
//        int u = findpa(i);
//        if (u != curpa){
//            curpa = u;
//            Add(u);
//        }
//    }
//    for (int i = 2; i < d.size(); i++){
//        if (d[i].se > 0 && d[i-2].se > 0){
//            g.pb({d[i].fi, d[i - 2].fi, d[i].se + d[i].se });
//        }
//    }
//}
pair<int, int> dp[N + 1][2];

bool check(int res) {
	dp[0][0] = {0, 0}, dp[0][1] = {-inf, 0};
	for (int i = 1; i <= n; ++i) {
		dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
		dp[i][1] =
		    max(make_pair(dp[i - 1][1].fi + a[i], dp[i - 1][1].se),
		        make_pair(dp[i - 1][0].fi + a[i] - res, dp[i - 1][0].se + 1));
	}
	return max(dp[n][0], dp[n][1]).se >= k;
};
void solve(){

    int l = 0, r = 1e14;
	while (l + 1 < r) {
		int mid = (l + r) / 2;
		if (check(mid)) {
			l = mid;
		} else {
			r = mid;
		}
	}
	int res = l;
	check(res);
	cout << res * k + max(dp[n][0].fi, dp[n][1].fi);
}
signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);cout.tie(0);
    #define nametask "PRESUFF"
    if(fopen(nametask".inp", "r")) {
        freopen(nametask".inp", "r", stdin);
        freopen(nametask".out", "w", stdout);
    }
    init();
//    if (ifsub1()) return sub1(), 0;
//    if (ifsub2()) return sub2(), 0;
//    if (k == 1) return sub3(), 0;
//    if (k <= n && n <= 2000) return sub6(), 0;
    solve();
    return 0;
}
/// Duong Anh Kiet from Kien Giang ///
/*
6 1
-1 -2 -1 2 -1 2
*/

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:159:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  159 |         freopen(nametask".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
feast.cpp:160:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  160 |         freopen(nametask".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 49 ms 12104 KB Output is correct
2 Correct 53 ms 12112 KB Output is correct
3 Correct 48 ms 12112 KB Output is correct
4 Correct 48 ms 12112 KB Output is correct
5 Correct 48 ms 12112 KB Output is correct
6 Correct 47 ms 12124 KB Output is correct
7 Correct 45 ms 12112 KB Output is correct
8 Correct 48 ms 11956 KB Output is correct
9 Correct 47 ms 12112 KB Output is correct
10 Correct 49 ms 12044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 12112 KB Output is correct
2 Correct 50 ms 12112 KB Output is correct
3 Correct 42 ms 12112 KB Output is correct
4 Correct 41 ms 12112 KB Output is correct
5 Correct 47 ms 12112 KB Output is correct
6 Correct 39 ms 12112 KB Output is correct
7 Correct 46 ms 12112 KB Output is correct
8 Correct 52 ms 12360 KB Output is correct
9 Correct 46 ms 12112 KB Output is correct
10 Correct 41 ms 12348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 12168 KB Output is correct
2 Correct 68 ms 12144 KB Output is correct
3 Correct 67 ms 12104 KB Output is correct
4 Correct 64 ms 12104 KB Output is correct
5 Correct 72 ms 12112 KB Output is correct
6 Correct 68 ms 12112 KB Output is correct
7 Correct 68 ms 12112 KB Output is correct
8 Correct 64 ms 12112 KB Output is correct
9 Correct 68 ms 12104 KB Output is correct
10 Correct 67 ms 12176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2556 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2556 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct
21 Correct 1 ms 2384 KB Output is correct
22 Correct 1 ms 2384 KB Output is correct
23 Correct 1 ms 2552 KB Output is correct
24 Correct 1 ms 2516 KB Output is correct
25 Correct 2 ms 2384 KB Output is correct
26 Correct 1 ms 2384 KB Output is correct
27 Correct 1 ms 2384 KB Output is correct
28 Correct 2 ms 2384 KB Output is correct
29 Correct 2 ms 2384 KB Output is correct
30 Correct 1 ms 2384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 49 ms 12104 KB Output is correct
2 Correct 53 ms 12112 KB Output is correct
3 Correct 48 ms 12112 KB Output is correct
4 Correct 48 ms 12112 KB Output is correct
5 Correct 48 ms 12112 KB Output is correct
6 Correct 47 ms 12124 KB Output is correct
7 Correct 45 ms 12112 KB Output is correct
8 Correct 48 ms 11956 KB Output is correct
9 Correct 47 ms 12112 KB Output is correct
10 Correct 49 ms 12044 KB Output is correct
11 Correct 39 ms 12112 KB Output is correct
12 Correct 50 ms 12112 KB Output is correct
13 Correct 42 ms 12112 KB Output is correct
14 Correct 41 ms 12112 KB Output is correct
15 Correct 47 ms 12112 KB Output is correct
16 Correct 39 ms 12112 KB Output is correct
17 Correct 46 ms 12112 KB Output is correct
18 Correct 52 ms 12360 KB Output is correct
19 Correct 46 ms 12112 KB Output is correct
20 Correct 41 ms 12348 KB Output is correct
21 Correct 83 ms 12168 KB Output is correct
22 Correct 68 ms 12144 KB Output is correct
23 Correct 67 ms 12104 KB Output is correct
24 Correct 64 ms 12104 KB Output is correct
25 Correct 72 ms 12112 KB Output is correct
26 Correct 68 ms 12112 KB Output is correct
27 Correct 68 ms 12112 KB Output is correct
28 Correct 64 ms 12112 KB Output is correct
29 Correct 68 ms 12104 KB Output is correct
30 Correct 67 ms 12176 KB Output is correct
31 Correct 1 ms 2384 KB Output is correct
32 Correct 1 ms 2384 KB Output is correct
33 Correct 1 ms 2384 KB Output is correct
34 Correct 1 ms 2384 KB Output is correct
35 Correct 1 ms 2384 KB Output is correct
36 Correct 1 ms 2384 KB Output is correct
37 Correct 1 ms 2384 KB Output is correct
38 Correct 1 ms 2384 KB Output is correct
39 Correct 1 ms 2384 KB Output is correct
40 Correct 1 ms 2384 KB Output is correct
41 Correct 1 ms 2384 KB Output is correct
42 Correct 1 ms 2384 KB Output is correct
43 Correct 1 ms 2384 KB Output is correct
44 Correct 1 ms 2384 KB Output is correct
45 Correct 1 ms 2384 KB Output is correct
46 Correct 1 ms 2384 KB Output is correct
47 Correct 1 ms 2384 KB Output is correct
48 Correct 1 ms 2384 KB Output is correct
49 Correct 1 ms 2556 KB Output is correct
50 Correct 1 ms 2384 KB Output is correct
51 Correct 1 ms 2384 KB Output is correct
52 Correct 1 ms 2384 KB Output is correct
53 Correct 1 ms 2552 KB Output is correct
54 Correct 1 ms 2516 KB Output is correct
55 Correct 2 ms 2384 KB Output is correct
56 Correct 1 ms 2384 KB Output is correct
57 Correct 1 ms 2384 KB Output is correct
58 Correct 2 ms 2384 KB Output is correct
59 Correct 2 ms 2384 KB Output is correct
60 Correct 1 ms 2384 KB Output is correct
61 Correct 100 ms 12104 KB Output is correct
62 Correct 93 ms 12140 KB Output is correct
63 Correct 79 ms 12112 KB Output is correct
64 Correct 99 ms 12108 KB Output is correct
65 Correct 101 ms 12108 KB Output is correct
66 Correct 100 ms 12104 KB Output is correct
67 Correct 99 ms 12000 KB Output is correct
68 Correct 68 ms 12112 KB Output is correct
69 Correct 66 ms 12104 KB Output is correct
70 Correct 64 ms 12104 KB Output is correct