oj.uz

Submission #563918

# Submission time Handle Problem Language Result Execution time Memory
563918 2022-05-18T09:29:34 Z amunduzbaev Long Distance Coach (JOI17_coach) C++17
100 / 100
 308 ms 208104 KB 
#include "bits/stdc++.h"
using namespace std;
 
#define ar array
//~ #define double long double
#define int long long
 
const long long inf = 1e18;
const int N = 2e5 + 5;
 
struct node{
	int m, b, lx, rx;
	
	double operator * (node& x){
		return (x.b - b) * 1. / (m - x.m);
	}
	
	int cost(int x){
		return m * x + b;
	}
};
 
const long long M = 1e12 + 5;
int t, w;
 
struct LiChao{
	node tree[N * 30] {};
	int last;
	
	void init(){
		for(int i=0;i<N*30;i++) tree[i] = {w * t, inf, 0, 0};
		last = 0;
	}
	
	void make(int x){
		if(!tree[x].lx) tree[x].lx = ++last;
		if(!tree[x].rx) tree[x].rx = ++last;
	}
 
	void add(node v, int lx = 0, int rx = M, int x = 0){
		if(tree[x].m == v.m){
			tree[x].b = min(v.b, tree[x].b);
			return;
		}
		
		if(lx == rx){
			if(tree[x].cost(lx) > v.cost(lx)) swap(tree[x], v);
			return;
		}
		
		make(x);
		double in = tree[x] * v;
		int m = (lx + rx) >> 1;
		v.lx = tree[x].lx, v.rx = tree[x].rx;
		if(m < in){
			if(tree[x].cost(m) > v.cost(m)){
				swap(tree[x], v);
			}
			add(v, m + 1, rx, tree[x].rx);
		} else {
			if(tree[x].cost(m + 1) > v.cost(m + 1)){
				swap(tree[x], v);
			}
			add(v, lx, m, tree[x].lx);
		}
	}
	
	int get(int i, int lx = 0, int rx = M, int x = 0){
		if(lx == rx) return tree[x].cost(i);
		int m = (lx + rx) >> 1;
		make(x);
		if(i <= m) return min(get(i, lx, m, tree[x].lx), tree[x].cost(i));
		else return min(get(i, m+1, rx, tree[x].rx), tree[x].cost(i));
	}
}tree;
 
int s[N], d[N], c[N], pref[N], cnt[N];
 
signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int x, n, m; cin>>x>>n>>m>>w>>t;
	tree.init();
	for(int i=0;i<n;i++) cin>>s[i];
	vector<int> p(m), d_(m), mn(m, x + 1);
	int tot = 0;
	for(int i=0;i<m;i++){
		cin>>d[i]>>c[i];
		p[i] = i;
	}
	
	tot += (x / t + 1) * w;
	
	sort(p.begin(), p.end(), [&](int i, int j){
		return d[i] < d[j];
	});
	for(int i=0;i<m;i++){
		d_[i] = d[p[i]];
		cnt[i] = x / t + (d_[i] < x % t);
		tot += cnt[i] * w;
		if(i) pref[i] += pref[i-1], cnt[i] += cnt[i-1];
		pref[i] += c[p[i]];
	}
	s[n] = x;
	for(int i=0;i<=n;i++){
		int j = upper_bound(d_.begin(), d_.end(), s[i] % t) - d_.begin();
		if(j){ --j;
			//~ assert(d_[j] != s[i] % t);
			mn[j] = min(mn[j], s[i]);
		}
	}
	
	//~ cout<<w<<"\n";
	//~ for(int i=0;i<m;i++){
		//~ cout<<-i * w<<" "<<cnt[i] * w - pref[i]<<"\n";
	//~ }
	
	vector<int> dp(m);
	int Mx = M / t + 5;
	tree.add({w, 0});
	for(int i=0;i<m;i++){
		if(i) dp[i] = dp[i-1];
		if(mn[i] > x){
			tree.add({-i * w, dp[i] + cnt[i] * w - pref[i]}, 0, Mx);
			continue;
		}
		int T = mn[i] / t;	
		dp[i] = min(dp[i], tree.get(T, 0, Mx) - cnt[i] * w + T * i * w + pref[i]);
		tree.add({-i * w, dp[i] + cnt[i] * w - pref[i]}, 0, Mx);
	}
	
	//~ for(int i=0;i<m;i++) cout<<dp[i]<<" ";
	//~ cout<<"\n";
	
	cout<<tot + dp[m-1]<<"\n";
}
 
/*
 
0 0 0 0 -23
0 0 0 0 -29
 
105 3 5 9 10
59
68
71
4 71
6 32
7 29
3 62
2 35
 
*/

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 188088 KB Output is correct
2 Correct 97 ms 188168 KB Output is correct
3 Correct 90 ms 188184 KB Output is correct
4 Correct 91 ms 188108 KB Output is correct
5 Correct 91 ms 188172 KB Output is correct
6 Correct 99 ms 188112 KB Output is correct
7 Correct 90 ms 188100 KB Output is correct
8 Correct 90 ms 188172 KB Output is correct
9 Correct 97 ms 188132 KB Output is correct
10 Correct 89 ms 188160 KB Output is correct
11 Correct 89 ms 188204 KB Output is correct
12 Correct 90 ms 188116 KB Output is correct
13 Correct 96 ms 188192 KB Output is correct
14 Correct 90 ms 188188 KB Output is correct
15 Correct 92 ms 188200 KB Output is correct
16 Correct 90 ms 188148 KB Output is correct
17 Correct 99 ms 188144 KB Output is correct
18 Correct 96 ms 188228 KB Output is correct
19 Correct 91 ms 188108 KB Output is correct
20 Correct 92 ms 188144 KB Output is correct
21 Correct 89 ms 188180 KB Output is correct
22 Correct 97 ms 188212 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 188088 KB Output is correct
2 Correct 97 ms 188168 KB Output is correct
3 Correct 90 ms 188184 KB Output is correct
4 Correct 91 ms 188108 KB Output is correct
5 Correct 91 ms 188172 KB Output is correct
6 Correct 99 ms 188112 KB Output is correct
7 Correct 90 ms 188100 KB Output is correct
8 Correct 90 ms 188172 KB Output is correct
9 Correct 97 ms 188132 KB Output is correct
10 Correct 89 ms 188160 KB Output is correct
11 Correct 89 ms 188204 KB Output is correct
12 Correct 90 ms 188116 KB Output is correct
13 Correct 96 ms 188192 KB Output is correct
14 Correct 90 ms 188188 KB Output is correct
15 Correct 92 ms 188200 KB Output is correct
16 Correct 90 ms 188148 KB Output is correct
17 Correct 99 ms 188144 KB Output is correct
18 Correct 96 ms 188228 KB Output is correct
19 Correct 91 ms 188108 KB Output is correct
20 Correct 92 ms 188144 KB Output is correct
21 Correct 89 ms 188180 KB Output is correct
22 Correct 97 ms 188212 KB Output is correct
23 Correct 96 ms 188108 KB Output is correct
24 Correct 91 ms 188124 KB Output is correct
25 Correct 93 ms 188104 KB Output is correct
26 Correct 91 ms 188200 KB Output is correct
27 Correct 91 ms 188204 KB Output is correct
28 Correct 93 ms 188284 KB Output is correct
29 Correct 90 ms 188108 KB Output is correct
30 Correct 91 ms 188220 KB Output is correct
31 Correct 90 ms 188108 KB Output is correct
32 Correct 90 ms 188188 KB Output is correct
33 Correct 93 ms 188156 KB Output is correct
34 Correct 91 ms 188184 KB Output is correct
35 Correct 90 ms 188104 KB Output is correct
36 Correct 90 ms 188176 KB Output is correct
37 Correct 101 ms 188204 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 188088 KB Output is correct
2 Correct 97 ms 188168 KB Output is correct
3 Correct 90 ms 188184 KB Output is correct
4 Correct 91 ms 188108 KB Output is correct
5 Correct 91 ms 188172 KB Output is correct
6 Correct 99 ms 188112 KB Output is correct
7 Correct 90 ms 188100 KB Output is correct
8 Correct 90 ms 188172 KB Output is correct
9 Correct 97 ms 188132 KB Output is correct
10 Correct 89 ms 188160 KB Output is correct
11 Correct 89 ms 188204 KB Output is correct
12 Correct 90 ms 188116 KB Output is correct
13 Correct 96 ms 188192 KB Output is correct
14 Correct 90 ms 188188 KB Output is correct
15 Correct 92 ms 188200 KB Output is correct
16 Correct 90 ms 188148 KB Output is correct
17 Correct 99 ms 188144 KB Output is correct
18 Correct 96 ms 188228 KB Output is correct
19 Correct 91 ms 188108 KB Output is correct
20 Correct 92 ms 188144 KB Output is correct
21 Correct 89 ms 188180 KB Output is correct
22 Correct 97 ms 188212 KB Output is correct
23 Correct 96 ms 188108 KB Output is correct
24 Correct 91 ms 188124 KB Output is correct
25 Correct 93 ms 188104 KB Output is correct
26 Correct 91 ms 188200 KB Output is correct
27 Correct 91 ms 188204 KB Output is correct
28 Correct 93 ms 188284 KB Output is correct
29 Correct 90 ms 188108 KB Output is correct
30 Correct 91 ms 188220 KB Output is correct
31 Correct 90 ms 188108 KB Output is correct
32 Correct 90 ms 188188 KB Output is correct
33 Correct 93 ms 188156 KB Output is correct
34 Correct 91 ms 188184 KB Output is correct
35 Correct 90 ms 188104 KB Output is correct
36 Correct 90 ms 188176 KB Output is correct
37 Correct 101 ms 188204 KB Output is correct
38 Correct 94 ms 188356 KB Output is correct
39 Correct 92 ms 188348 KB Output is correct
40 Correct 95 ms 188360 KB Output is correct
41 Correct 92 ms 188296 KB Output is correct
42 Correct 92 ms 188280 KB Output is correct
43 Correct 95 ms 188364 KB Output is correct
44 Correct 95 ms 188300 KB Output is correct
45 Correct 95 ms 188352 KB Output is correct
46 Correct 90 ms 188316 KB Output is correct
47 Correct 96 ms 188292 KB Output is correct
48 Correct 97 ms 188400 KB Output is correct
49 Correct 91 ms 188304 KB Output is correct
50 Correct 96 ms 188352 KB Output is correct
51 Correct 92 ms 188312 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 188088 KB Output is correct
2 Correct 97 ms 188168 KB Output is correct
3 Correct 90 ms 188184 KB Output is correct
4 Correct 91 ms 188108 KB Output is correct
5 Correct 91 ms 188172 KB Output is correct
6 Correct 99 ms 188112 KB Output is correct
7 Correct 90 ms 188100 KB Output is correct
8 Correct 90 ms 188172 KB Output is correct
9 Correct 97 ms 188132 KB Output is correct
10 Correct 89 ms 188160 KB Output is correct
11 Correct 89 ms 188204 KB Output is correct
12 Correct 90 ms 188116 KB Output is correct
13 Correct 96 ms 188192 KB Output is correct
14 Correct 90 ms 188188 KB Output is correct
15 Correct 92 ms 188200 KB Output is correct
16 Correct 90 ms 188148 KB Output is correct
17 Correct 99 ms 188144 KB Output is correct
18 Correct 96 ms 188228 KB Output is correct
19 Correct 91 ms 188108 KB Output is correct
20 Correct 92 ms 188144 KB Output is correct
21 Correct 89 ms 188180 KB Output is correct
22 Correct 97 ms 188212 KB Output is correct
23 Correct 96 ms 188108 KB Output is correct
24 Correct 91 ms 188124 KB Output is correct
25 Correct 93 ms 188104 KB Output is correct
26 Correct 91 ms 188200 KB Output is correct
27 Correct 91 ms 188204 KB Output is correct
28 Correct 93 ms 188284 KB Output is correct
29 Correct 90 ms 188108 KB Output is correct
30 Correct 91 ms 188220 KB Output is correct
31 Correct 90 ms 188108 KB Output is correct
32 Correct 90 ms 188188 KB Output is correct
33 Correct 93 ms 188156 KB Output is correct
34 Correct 91 ms 188184 KB Output is correct
35 Correct 90 ms 188104 KB Output is correct
36 Correct 90 ms 188176 KB Output is correct
37 Correct 101 ms 188204 KB Output is correct
38 Correct 94 ms 188356 KB Output is correct
39 Correct 92 ms 188348 KB Output is correct
40 Correct 95 ms 188360 KB Output is correct
41 Correct 92 ms 188296 KB Output is correct
42 Correct 92 ms 188280 KB Output is correct
43 Correct 95 ms 188364 KB Output is correct
44 Correct 95 ms 188300 KB Output is correct
45 Correct 95 ms 188352 KB Output is correct
46 Correct 90 ms 188316 KB Output is correct
47 Correct 96 ms 188292 KB Output is correct
48 Correct 97 ms 188400 KB Output is correct
49 Correct 91 ms 188304 KB Output is correct
50 Correct 96 ms 188352 KB Output is correct
51 Correct 92 ms 188312 KB Output is correct
52 Correct 296 ms 202268 KB Output is correct
53 Correct 306 ms 208012 KB Output is correct
54 Correct 244 ms 207072 KB Output is correct
55 Correct 243 ms 207388 KB Output is correct
56 Correct 242 ms 207664 KB Output is correct
57 Correct 247 ms 207384 KB Output is correct
58 Correct 258 ms 207980 KB Output is correct
59 Correct 236 ms 207352 KB Output is correct
60 Correct 247 ms 207356 KB Output is correct
61 Correct 236 ms 207264 KB Output is correct
62 Correct 245 ms 207364 KB Output is correct
63 Correct 210 ms 206272 KB Output is correct
64 Correct 194 ms 208104 KB Output is correct
65 Correct 285 ms 207924 KB Output is correct
66 Correct 297 ms 208076 KB Output is correct
67 Correct 308 ms 208032 KB Output is correct
68 Correct 300 ms 207400 KB Output is correct
69 Correct 279 ms 207272 KB Output is correct
70 Correct 274 ms 206276 KB Output is correct
71 Correct 279 ms 206300 KB Output is correct
72 Correct 271 ms 205484 KB Output is correct
73 Correct 274 ms 205504 KB Output is correct
74 Correct 265 ms 204488 KB Output is correct
75 Correct 260 ms 204492 KB Output is correct
76 Correct 264 ms 203724 KB Output is correct
77 Correct 237 ms 203692 KB Output is correct
78 Correct 254 ms 202828 KB Output is correct
79 Correct 261 ms 202800 KB Output is correct
80 Correct 263 ms 202188 KB Output is correct