oj.uz

Submission #435540

# Submission time Handle Problem Language Result Execution time Memory
435540 2021-06-23T12:15:46 Z meatrow Discharging (NOI20_discharging) C++17
100 / 100
 222 ms 17980 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
using ll = long long;
using ld = long double;
 
const int MOD = 998244353;
 
ll binpow(ll a, ll p, int mod = MOD) {
    ll res = 1;
    while (p) {
        if (p & 1) {
            (res *= a) %= mod;
        }
        p >>= 1;
        (a *= a) %= mod;
    }
    return res;
}
 
ll gcd(ll a, ll b) {
    return b == 0 ? a : gcd(b, a % b);
}

struct Line {
	mutable ll k, m, p;
	bool operator<(const Line& o) const { return k < o.k; }
	bool operator<(ll x) const { return p < x; }
};

struct LineContainer : multiset<Line, less<>> {
	// (for doubles, use inf = 1/.0, div(a,b) = a/b)
	static const ll inf = LLONG_MAX;
	ll div(ll a, ll b) { // floored division
		return a / b - ((a ^ b) < 0 && a % b); }
	bool isect(iterator x, iterator y) {
		if (y == end()) return x->p = inf, 0;
		if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
		else x->p = div(y->m - x->m, x->k - y->k);
		return x->p >= y->p;
	}
	void add(ll k, ll m) {
		auto z = insert({k, m, 0}), y = z++, x = y;
		while (isect(y, z)) z = erase(z);
		if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
		while ((y = x) != begin() && (--x)->p >= y->p)
			isect(x, erase(y));
	}
	ll query(ll x) {
		assert(!empty());
		auto l = *lower_bound(x);
		return l.k * x + l.m;
	}
};

void solve() {
    int n;
    cin >> n;
    vector<ll> dp(n);
    LineContainer cht;
    cht.add(-n, 0);
    ll mx = 0;
    for (int i = 0; i < n; i++) {
        ll t;
        cin >> t;
        mx = max(mx, t);
        dp[i] = cht.query(mx);
        cht.add(-n + i + 1, dp[i]);
    }
    cout << -dp[n - 1] << endl; 
}
 
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int T = 1;
    // cin >> T;
    for (int tc = 1; tc <= T; tc++) {
        // cout << "Case #" << tc << ": ";
        solve();
    }
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 248 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 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 312 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 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 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 324 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 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 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 324 KB Output is correct
16 Correct 190 ms 13120 KB Output is correct
17 Correct 203 ms 13900 KB Output is correct
18 Correct 180 ms 12488 KB Output is correct
19 Correct 201 ms 13892 KB Output is correct
20 Correct 205 ms 13732 KB Output is correct
21 Correct 206 ms 13892 KB Output is correct
22 Correct 195 ms 13564 KB Output is correct
23 Correct 219 ms 14512 KB Output is correct
24 Correct 206 ms 14012 KB Output is correct
25 Correct 215 ms 14408 KB Output is correct
26 Correct 217 ms 14656 KB Output is correct
27 Correct 189 ms 13108 KB Output is correct
28 Correct 210 ms 14136 KB Output is correct
29 Correct 222 ms 14156 KB Output is correct
30 Correct 209 ms 14396 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 200 ms 17724 KB Output is correct
2 Correct 196 ms 17740 KB Output is correct
3 Correct 210 ms 17732 KB Output is correct
4 Correct 199 ms 17744 KB Output is correct
5 Correct 199 ms 17852 KB Output is correct
6 Correct 201 ms 17856 KB Output is correct
7 Correct 214 ms 17728 KB Output is correct
8 Correct 210 ms 17740 KB Output is correct
9 Correct 194 ms 17980 KB Output is correct
10 Correct 200 ms 17724 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 248 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 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 312 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 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 2 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 320 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 2 ms 324 KB Output is correct
30 Correct 1 ms 320 KB Output is correct
31 Correct 1 ms 316 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 204 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 204 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 2 ms 320 KB Output is correct
43 Correct 1 ms 316 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 204 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 332 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 248 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 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 312 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 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 2 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 320 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 2 ms 324 KB Output is correct
30 Correct 190 ms 13120 KB Output is correct
31 Correct 203 ms 13900 KB Output is correct
32 Correct 180 ms 12488 KB Output is correct
33 Correct 201 ms 13892 KB Output is correct
34 Correct 205 ms 13732 KB Output is correct
35 Correct 206 ms 13892 KB Output is correct
36 Correct 195 ms 13564 KB Output is correct
37 Correct 219 ms 14512 KB Output is correct
38 Correct 206 ms 14012 KB Output is correct
39 Correct 215 ms 14408 KB Output is correct
40 Correct 217 ms 14656 KB Output is correct
41 Correct 189 ms 13108 KB Output is correct
42 Correct 210 ms 14136 KB Output is correct
43 Correct 222 ms 14156 KB Output is correct
44 Correct 209 ms 14396 KB Output is correct
45 Correct 200 ms 17724 KB Output is correct
46 Correct 196 ms 17740 KB Output is correct
47 Correct 210 ms 17732 KB Output is correct
48 Correct 199 ms 17744 KB Output is correct
49 Correct 199 ms 17852 KB Output is correct
50 Correct 201 ms 17856 KB Output is correct
51 Correct 214 ms 17728 KB Output is correct
52 Correct 210 ms 17740 KB Output is correct
53 Correct 194 ms 17980 KB Output is correct
54 Correct 200 ms 17724 KB Output is correct
55 Correct 1 ms 320 KB Output is correct
56 Correct 1 ms 316 KB Output is correct
57 Correct 1 ms 332 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 1 ms 332 KB Output is correct
62 Correct 1 ms 332 KB Output is correct
63 Correct 1 ms 332 KB Output is correct
64 Correct 1 ms 332 KB Output is correct
65 Correct 1 ms 204 KB Output is correct
66 Correct 1 ms 332 KB Output is correct
67 Correct 2 ms 320 KB Output is correct
68 Correct 1 ms 316 KB Output is correct
69 Correct 1 ms 332 KB Output is correct
70 Correct 1 ms 332 KB Output is correct
71 Correct 1 ms 332 KB Output is correct
72 Correct 1 ms 204 KB Output is correct
73 Correct 1 ms 332 KB Output is correct
74 Correct 1 ms 332 KB Output is correct
75 Correct 1 ms 332 KB Output is correct
76 Correct 203 ms 14140 KB Output is correct
77 Correct 192 ms 14160 KB Output is correct
78 Correct 183 ms 13504 KB Output is correct
79 Correct 184 ms 13892 KB Output is correct
80 Correct 194 ms 14400 KB Output is correct
81 Correct 180 ms 13632 KB Output is correct
82 Correct 188 ms 13636 KB Output is correct
83 Correct 186 ms 14104 KB Output is correct
84 Correct 190 ms 13880 KB Output is correct
85 Correct 191 ms 14148 KB Output is correct
86 Correct 188 ms 13496 KB Output is correct
87 Correct 199 ms 13380 KB Output is correct
88 Correct 191 ms 13760 KB Output is correct
89 Correct 192 ms 13632 KB Output is correct
90 Correct 189 ms 13504 KB Output is correct
91 Correct 186 ms 13380 KB Output is correct
92 Correct 215 ms 14668 KB Output is correct
93 Correct 209 ms 13892 KB Output is correct
94 Correct 185 ms 13116 KB Output is correct
95 Correct 207 ms 14400 KB Output is correct
96 Correct 177 ms 13372 KB Output is correct
97 Correct 196 ms 13628 KB Output is correct
98 Correct 184 ms 13892 KB Output is correct
99 Correct 189 ms 13500 KB Output is correct
100 Correct 185 ms 13656 KB Output is correct