oj.uz

Submission #697094

# Submission time Handle Problem Language Result Execution time Memory
697094 2023-02-08T09:00:06 Z amunduzbaev Long Distance Coach (JOI17_coach) C++17
100 / 100
 292 ms 56176 KB 
#include "bits/stdc++.h"
using namespace std;

#define ar array
typedef long long ll;
#define int ll

const int N = 4e5 + 5;
const int inf = 1e18;
int MX;

struct line{
	int m, b; 
	line(): m(0), b(0){ }
	line(int m, int b): m(m), b(b){ }
	
	int operator * (const int& x) const {
		return x * m + b;
	}
};

struct ST{
	line tree[N << 2];
	int q[N], sz;
	void init(int sz_, vector<int>& Q){
		for(int i=0;i<(N << 2);i++) tree[i] = line(MX, inf);
		sz = sz_;
		for(int i=0;i<sz;i++) q[i] = Q[i];
	}
	
	void add(line v, int lx, int rx, int x){
		int m = (lx + rx) >> 1;
		if(tree[x] * q[m] > v * q[m]) swap(tree[x], v);
		if(lx == rx) return;
		if(tree[x] * q[lx] <= v * q[lx]){
			add(v, m + 1, rx, x << 1 | 1);
		} else {
			add(v, lx, m, x << 1);
		}
	} void add(int m, int b){
		add(line(m, b), 0, sz - 1, 1);
	}
	
	int get(int i, int lx, int rx, int x){
		if(lx == rx) return tree[x] * q[i];
		int m = (lx + rx) >> 1;
		if(i <= m) return min(tree[x] * q[i], get(i, lx, m, x << 1));
		else return min(tree[x] * q[i], get(i, m + 1, rx, x << 1 | 1));
	} int get(int i){
		return get(i, 0, sz - 1, 1);
	}
}tree;

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int X, n, m, w, t; cin >> X >> n >> m >> w >> t;
	vector<int> s(n), d(m), c(m);
	vector<ar<int, 2>> a;
	MX = t;
	for(int i=0;i<n;i++){
		cin >> s[i];
		a.push_back({s[i] % t, -(s[i] / t) * w});
		s[i] = (s[i] / t) * w;
	}
	
	s.push_back((X / t) * w);
	sort(s.begin(), s.end());
	s.erase(unique(s.begin(), s.end()), s.end());
	tree.init(s.size(), s);
	
	for(int i=0;i<m;i++){
		cin >> d[i] >> c[i];
		a.push_back({d[i], c[i]});
	}
	a.push_back({X % t, -(X / t) * w});
	a.push_back({0, 0});
	sort(a.begin(), a.end());
	a.erase(unique(a.begin(), a.end()), a.end());
	int sz = a.size();
	vector<int> pref(sz), cnt(sz), tot(sz);
	for(int i=1;i<sz;i++){
		pref[i] = pref[i-1], cnt[i] = cnt[i-1];
		if(a[i][1] > 0){
			tot[i] = X / t + (a[i][0] <= (X % t));
			pref[i] += a[i][1];
			cnt[i]++;
		}
	}
	
	vector<int> dp(sz);
	dp[0] = (X / t + 1) * w;
	tree.add(0, dp[0]);
	for(int i=1;i<sz;i++){
		if(a[i][1] > 0){
			dp[i] = dp[i-1] + tot[i] * w;
			tree.add(-cnt[i], -pref[i] + dp[i]);
			continue;
		}
		
		int s_ = -a[i][1];
		int j = lower_bound(s.begin(), s.end(), s_) - s.begin();
		//~ cout<<s[j]<<" "<<s_<<"\n";
		dp[i] = pref[i] + s_ * cnt[i] + tree.get(j);
		tree.add(-cnt[i], -pref[i] + dp[i]);
		//~ for(int j=0;j<i;j++){
			//~ cout<<j<<" "<<i<<" "<<dp[j]<<" "<<s * w * (cnt[i] - cnt[j])<<" "<<pref[i] - pref[j]<<"\n";
			//~ dp[i] = min(dp[i], dp[j] + s_ * (cnt[i] - cnt[j]) + pref[i] - pref[j]);
		//~ }
	}
	
	//~ for(int i=0;i<sz;i++){
		//~ cout<<dp[i]<<" ";
	//~ } cout<<"\n";
	//~ for(int i=0;i<sz;i++){
		//~ cout<<a[i][0]<<" ";
	//~ } cout<<"\n";
	//~ for(int i=0;i<sz;i++){
		//~ cout<<a[i][1]<<" ";
	//~ } cout<<"\n";
	
	cout<<dp[sz - 1]<<"\n";
}

/*

99 99 198 297 396 396 486 576 565 547
0 1 2 3 4 5 6 7 8 9
0 -63 35 62 71 -90 32 29 -54 -45

*/

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 25300 KB Output is correct
2 Correct 13 ms 25300 KB Output is correct
3 Correct 16 ms 25340 KB Output is correct
4 Correct 14 ms 25300 KB Output is correct
5 Correct 13 ms 25376 KB Output is correct
6 Correct 15 ms 25408 KB Output is correct
7 Correct 14 ms 25300 KB Output is correct
8 Correct 13 ms 25300 KB Output is correct
9 Correct 14 ms 25300 KB Output is correct
10 Correct 13 ms 25300 KB Output is correct
11 Correct 16 ms 25364 KB Output is correct
12 Correct 13 ms 25300 KB Output is correct
13 Correct 13 ms 25300 KB Output is correct
14 Correct 13 ms 25380 KB Output is correct
15 Correct 13 ms 25300 KB Output is correct
16 Correct 14 ms 25428 KB Output is correct
17 Correct 13 ms 25388 KB Output is correct
18 Correct 14 ms 25300 KB Output is correct
19 Correct 13 ms 25300 KB Output is correct
20 Correct 14 ms 25376 KB Output is correct
21 Correct 14 ms 25296 KB Output is correct
22 Correct 13 ms 25300 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 25300 KB Output is correct
2 Correct 13 ms 25300 KB Output is correct
3 Correct 16 ms 25340 KB Output is correct
4 Correct 14 ms 25300 KB Output is correct
5 Correct 13 ms 25376 KB Output is correct
6 Correct 15 ms 25408 KB Output is correct
7 Correct 14 ms 25300 KB Output is correct
8 Correct 13 ms 25300 KB Output is correct
9 Correct 14 ms 25300 KB Output is correct
10 Correct 13 ms 25300 KB Output is correct
11 Correct 16 ms 25364 KB Output is correct
12 Correct 13 ms 25300 KB Output is correct
13 Correct 13 ms 25300 KB Output is correct
14 Correct 13 ms 25380 KB Output is correct
15 Correct 13 ms 25300 KB Output is correct
16 Correct 14 ms 25428 KB Output is correct
17 Correct 13 ms 25388 KB Output is correct
18 Correct 14 ms 25300 KB Output is correct
19 Correct 13 ms 25300 KB Output is correct
20 Correct 14 ms 25376 KB Output is correct
21 Correct 14 ms 25296 KB Output is correct
22 Correct 13 ms 25300 KB Output is correct
23 Correct 14 ms 25300 KB Output is correct
24 Correct 13 ms 25300 KB Output is correct
25 Correct 13 ms 25380 KB Output is correct
26 Correct 15 ms 25384 KB Output is correct
27 Correct 14 ms 25300 KB Output is correct
28 Correct 14 ms 25300 KB Output is correct
29 Correct 14 ms 25300 KB Output is correct
30 Correct 13 ms 25332 KB Output is correct
31 Correct 14 ms 25384 KB Output is correct
32 Correct 14 ms 25300 KB Output is correct
33 Correct 14 ms 25396 KB Output is correct
34 Correct 15 ms 25388 KB Output is correct
35 Correct 14 ms 25392 KB Output is correct
36 Correct 14 ms 25340 KB Output is correct
37 Correct 14 ms 25296 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 25300 KB Output is correct
2 Correct 13 ms 25300 KB Output is correct
3 Correct 16 ms 25340 KB Output is correct
4 Correct 14 ms 25300 KB Output is correct
5 Correct 13 ms 25376 KB Output is correct
6 Correct 15 ms 25408 KB Output is correct
7 Correct 14 ms 25300 KB Output is correct
8 Correct 13 ms 25300 KB Output is correct
9 Correct 14 ms 25300 KB Output is correct
10 Correct 13 ms 25300 KB Output is correct
11 Correct 16 ms 25364 KB Output is correct
12 Correct 13 ms 25300 KB Output is correct
13 Correct 13 ms 25300 KB Output is correct
14 Correct 13 ms 25380 KB Output is correct
15 Correct 13 ms 25300 KB Output is correct
16 Correct 14 ms 25428 KB Output is correct
17 Correct 13 ms 25388 KB Output is correct
18 Correct 14 ms 25300 KB Output is correct
19 Correct 13 ms 25300 KB Output is correct
20 Correct 14 ms 25376 KB Output is correct
21 Correct 14 ms 25296 KB Output is correct
22 Correct 13 ms 25300 KB Output is correct
23 Correct 14 ms 25300 KB Output is correct
24 Correct 13 ms 25300 KB Output is correct
25 Correct 13 ms 25380 KB Output is correct
26 Correct 15 ms 25384 KB Output is correct
27 Correct 14 ms 25300 KB Output is correct
28 Correct 14 ms 25300 KB Output is correct
29 Correct 14 ms 25300 KB Output is correct
30 Correct 13 ms 25332 KB Output is correct
31 Correct 14 ms 25384 KB Output is correct
32 Correct 14 ms 25300 KB Output is correct
33 Correct 14 ms 25396 KB Output is correct
34 Correct 15 ms 25388 KB Output is correct
35 Correct 14 ms 25392 KB Output is correct
36 Correct 14 ms 25340 KB Output is correct
37 Correct 14 ms 25296 KB Output is correct
38 Correct 15 ms 25560 KB Output is correct
39 Correct 15 ms 25560 KB Output is correct
40 Correct 16 ms 25560 KB Output is correct
41 Correct 16 ms 25556 KB Output is correct
42 Correct 15 ms 25592 KB Output is correct
43 Correct 15 ms 25548 KB Output is correct
44 Correct 17 ms 25620 KB Output is correct
45 Correct 16 ms 25568 KB Output is correct
46 Correct 16 ms 25684 KB Output is correct
47 Correct 16 ms 25648 KB Output is correct
48 Correct 19 ms 25656 KB Output is correct
49 Correct 17 ms 25556 KB Output is correct
50 Correct 15 ms 25556 KB Output is correct
51 Correct 17 ms 25688 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 25300 KB Output is correct
2 Correct 13 ms 25300 KB Output is correct
3 Correct 16 ms 25340 KB Output is correct
4 Correct 14 ms 25300 KB Output is correct
5 Correct 13 ms 25376 KB Output is correct
6 Correct 15 ms 25408 KB Output is correct
7 Correct 14 ms 25300 KB Output is correct
8 Correct 13 ms 25300 KB Output is correct
9 Correct 14 ms 25300 KB Output is correct
10 Correct 13 ms 25300 KB Output is correct
11 Correct 16 ms 25364 KB Output is correct
12 Correct 13 ms 25300 KB Output is correct
13 Correct 13 ms 25300 KB Output is correct
14 Correct 13 ms 25380 KB Output is correct
15 Correct 13 ms 25300 KB Output is correct
16 Correct 14 ms 25428 KB Output is correct
17 Correct 13 ms 25388 KB Output is correct
18 Correct 14 ms 25300 KB Output is correct
19 Correct 13 ms 25300 KB Output is correct
20 Correct 14 ms 25376 KB Output is correct
21 Correct 14 ms 25296 KB Output is correct
22 Correct 13 ms 25300 KB Output is correct
23 Correct 14 ms 25300 KB Output is correct
24 Correct 13 ms 25300 KB Output is correct
25 Correct 13 ms 25380 KB Output is correct
26 Correct 15 ms 25384 KB Output is correct
27 Correct 14 ms 25300 KB Output is correct
28 Correct 14 ms 25300 KB Output is correct
29 Correct 14 ms 25300 KB Output is correct
30 Correct 13 ms 25332 KB Output is correct
31 Correct 14 ms 25384 KB Output is correct
32 Correct 14 ms 25300 KB Output is correct
33 Correct 14 ms 25396 KB Output is correct
34 Correct 15 ms 25388 KB Output is correct
35 Correct 14 ms 25392 KB Output is correct
36 Correct 14 ms 25340 KB Output is correct
37 Correct 14 ms 25296 KB Output is correct
38 Correct 15 ms 25560 KB Output is correct
39 Correct 15 ms 25560 KB Output is correct
40 Correct 16 ms 25560 KB Output is correct
41 Correct 16 ms 25556 KB Output is correct
42 Correct 15 ms 25592 KB Output is correct
43 Correct 15 ms 25548 KB Output is correct
44 Correct 17 ms 25620 KB Output is correct
45 Correct 16 ms 25568 KB Output is correct
46 Correct 16 ms 25684 KB Output is correct
47 Correct 16 ms 25648 KB Output is correct
48 Correct 19 ms 25656 KB Output is correct
49 Correct 17 ms 25556 KB Output is correct
50 Correct 15 ms 25556 KB Output is correct
51 Correct 17 ms 25688 KB Output is correct
52 Correct 249 ms 50128 KB Output is correct
53 Correct 260 ms 56168 KB Output is correct
54 Correct 191 ms 54884 KB Output is correct
55 Correct 191 ms 55032 KB Output is correct
56 Correct 205 ms 55320 KB Output is correct
57 Correct 192 ms 55572 KB Output is correct
58 Correct 206 ms 55796 KB Output is correct
59 Correct 197 ms 54964 KB Output is correct
60 Correct 188 ms 54948 KB Output is correct
61 Correct 189 ms 55060 KB Output is correct
62 Correct 196 ms 55188 KB Output is correct
63 Correct 179 ms 54436 KB Output is correct
64 Correct 243 ms 56176 KB Output is correct
65 Correct 261 ms 56028 KB Output is correct
66 Correct 241 ms 56008 KB Output is correct
67 Correct 250 ms 56060 KB Output is correct
68 Correct 257 ms 56060 KB Output is correct
69 Correct 292 ms 55556 KB Output is correct
70 Correct 253 ms 55640 KB Output is correct
71 Correct 256 ms 55712 KB Output is correct
72 Correct 256 ms 55664 KB Output is correct
73 Correct 264 ms 55696 KB Output is correct
74 Correct 270 ms 55688 KB Output is correct
75 Correct 264 ms 55760 KB Output is correct
76 Correct 264 ms 55876 KB Output is correct
77 Correct 136 ms 54240 KB Output is correct
78 Correct 138 ms 54480 KB Output is correct
79 Correct 251 ms 55248 KB Output is correct
80 Correct 251 ms 55224 KB Output is correct