oj.uz

Submission #563916

# Submission time Handle Problem Language Result Execution time Memory
563916 2022-05-18T09:26:14 Z amunduzbaev Long Distance Coach (JOI17_coach) C++17
100 / 100
 310 ms 208068 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 188108 KB Output is correct
2 Correct 94 ms 188212 KB Output is correct
3 Correct 93 ms 188088 KB Output is correct
4 Correct 90 ms 188124 KB Output is correct
5 Correct 89 ms 188200 KB Output is correct
6 Correct 91 ms 188108 KB Output is correct
7 Correct 99 ms 188180 KB Output is correct
8 Correct 92 ms 188184 KB Output is correct
9 Correct 91 ms 188188 KB Output is correct
10 Correct 91 ms 188124 KB Output is correct
11 Correct 91 ms 188184 KB Output is correct
12 Correct 91 ms 188172 KB Output is correct
13 Correct 99 ms 188124 KB Output is correct
14 Correct 101 ms 188148 KB Output is correct
15 Correct 91 ms 188156 KB Output is correct
16 Correct 91 ms 188112 KB Output is correct
17 Correct 90 ms 188108 KB Output is correct
18 Correct 93 ms 188140 KB Output is correct
19 Correct 91 ms 188164 KB Output is correct
20 Correct 103 ms 188176 KB Output is correct
21 Correct 91 ms 188156 KB Output is correct
22 Correct 92 ms 188176 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 188108 KB Output is correct
2 Correct 94 ms 188212 KB Output is correct
3 Correct 93 ms 188088 KB Output is correct
4 Correct 90 ms 188124 KB Output is correct
5 Correct 89 ms 188200 KB Output is correct
6 Correct 91 ms 188108 KB Output is correct
7 Correct 99 ms 188180 KB Output is correct
8 Correct 92 ms 188184 KB Output is correct
9 Correct 91 ms 188188 KB Output is correct
10 Correct 91 ms 188124 KB Output is correct
11 Correct 91 ms 188184 KB Output is correct
12 Correct 91 ms 188172 KB Output is correct
13 Correct 99 ms 188124 KB Output is correct
14 Correct 101 ms 188148 KB Output is correct
15 Correct 91 ms 188156 KB Output is correct
16 Correct 91 ms 188112 KB Output is correct
17 Correct 90 ms 188108 KB Output is correct
18 Correct 93 ms 188140 KB Output is correct
19 Correct 91 ms 188164 KB Output is correct
20 Correct 103 ms 188176 KB Output is correct
21 Correct 91 ms 188156 KB Output is correct
22 Correct 92 ms 188176 KB Output is correct
23 Correct 93 ms 188196 KB Output is correct
24 Correct 92 ms 188216 KB Output is correct
25 Correct 101 ms 188108 KB Output is correct
26 Correct 93 ms 188140 KB Output is correct
27 Correct 89 ms 188204 KB Output is correct
28 Correct 94 ms 188108 KB Output is correct
29 Correct 92 ms 188204 KB Output is correct
30 Correct 92 ms 188144 KB Output is correct
31 Correct 90 ms 188208 KB Output is correct
32 Correct 90 ms 188136 KB Output is correct
33 Correct 89 ms 188212 KB Output is correct
34 Correct 93 ms 188228 KB Output is correct
35 Correct 92 ms 188180 KB Output is correct
36 Correct 101 ms 188112 KB Output is correct
37 Correct 91 ms 188196 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 188108 KB Output is correct
2 Correct 94 ms 188212 KB Output is correct
3 Correct 93 ms 188088 KB Output is correct
4 Correct 90 ms 188124 KB Output is correct
5 Correct 89 ms 188200 KB Output is correct
6 Correct 91 ms 188108 KB Output is correct
7 Correct 99 ms 188180 KB Output is correct
8 Correct 92 ms 188184 KB Output is correct
9 Correct 91 ms 188188 KB Output is correct
10 Correct 91 ms 188124 KB Output is correct
11 Correct 91 ms 188184 KB Output is correct
12 Correct 91 ms 188172 KB Output is correct
13 Correct 99 ms 188124 KB Output is correct
14 Correct 101 ms 188148 KB Output is correct
15 Correct 91 ms 188156 KB Output is correct
16 Correct 91 ms 188112 KB Output is correct
17 Correct 90 ms 188108 KB Output is correct
18 Correct 93 ms 188140 KB Output is correct
19 Correct 91 ms 188164 KB Output is correct
20 Correct 103 ms 188176 KB Output is correct
21 Correct 91 ms 188156 KB Output is correct
22 Correct 92 ms 188176 KB Output is correct
23 Correct 93 ms 188196 KB Output is correct
24 Correct 92 ms 188216 KB Output is correct
25 Correct 101 ms 188108 KB Output is correct
26 Correct 93 ms 188140 KB Output is correct
27 Correct 89 ms 188204 KB Output is correct
28 Correct 94 ms 188108 KB Output is correct
29 Correct 92 ms 188204 KB Output is correct
30 Correct 92 ms 188144 KB Output is correct
31 Correct 90 ms 188208 KB Output is correct
32 Correct 90 ms 188136 KB Output is correct
33 Correct 89 ms 188212 KB Output is correct
34 Correct 93 ms 188228 KB Output is correct
35 Correct 92 ms 188180 KB Output is correct
36 Correct 101 ms 188112 KB Output is correct
37 Correct 91 ms 188196 KB Output is correct
38 Correct 95 ms 188280 KB Output is correct
39 Correct 93 ms 188272 KB Output is correct
40 Correct 96 ms 188328 KB Output is correct
41 Correct 99 ms 188340 KB Output is correct
42 Correct 93 ms 188268 KB Output is correct
43 Correct 98 ms 188324 KB Output is correct
44 Correct 92 ms 188312 KB Output is correct
45 Correct 92 ms 188376 KB Output is correct
46 Correct 93 ms 188340 KB Output is correct
47 Correct 94 ms 188396 KB Output is correct
48 Correct 93 ms 188352 KB Output is correct
49 Correct 104 ms 188364 KB Output is correct
50 Correct 94 ms 188320 KB Output is correct
51 Correct 93 ms 188304 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 188108 KB Output is correct
2 Correct 94 ms 188212 KB Output is correct
3 Correct 93 ms 188088 KB Output is correct
4 Correct 90 ms 188124 KB Output is correct
5 Correct 89 ms 188200 KB Output is correct
6 Correct 91 ms 188108 KB Output is correct
7 Correct 99 ms 188180 KB Output is correct
8 Correct 92 ms 188184 KB Output is correct
9 Correct 91 ms 188188 KB Output is correct
10 Correct 91 ms 188124 KB Output is correct
11 Correct 91 ms 188184 KB Output is correct
12 Correct 91 ms 188172 KB Output is correct
13 Correct 99 ms 188124 KB Output is correct
14 Correct 101 ms 188148 KB Output is correct
15 Correct 91 ms 188156 KB Output is correct
16 Correct 91 ms 188112 KB Output is correct
17 Correct 90 ms 188108 KB Output is correct
18 Correct 93 ms 188140 KB Output is correct
19 Correct 91 ms 188164 KB Output is correct
20 Correct 103 ms 188176 KB Output is correct
21 Correct 91 ms 188156 KB Output is correct
22 Correct 92 ms 188176 KB Output is correct
23 Correct 93 ms 188196 KB Output is correct
24 Correct 92 ms 188216 KB Output is correct
25 Correct 101 ms 188108 KB Output is correct
26 Correct 93 ms 188140 KB Output is correct
27 Correct 89 ms 188204 KB Output is correct
28 Correct 94 ms 188108 KB Output is correct
29 Correct 92 ms 188204 KB Output is correct
30 Correct 92 ms 188144 KB Output is correct
31 Correct 90 ms 188208 KB Output is correct
32 Correct 90 ms 188136 KB Output is correct
33 Correct 89 ms 188212 KB Output is correct
34 Correct 93 ms 188228 KB Output is correct
35 Correct 92 ms 188180 KB Output is correct
36 Correct 101 ms 188112 KB Output is correct
37 Correct 91 ms 188196 KB Output is correct
38 Correct 95 ms 188280 KB Output is correct
39 Correct 93 ms 188272 KB Output is correct
40 Correct 96 ms 188328 KB Output is correct
41 Correct 99 ms 188340 KB Output is correct
42 Correct 93 ms 188268 KB Output is correct
43 Correct 98 ms 188324 KB Output is correct
44 Correct 92 ms 188312 KB Output is correct
45 Correct 92 ms 188376 KB Output is correct
46 Correct 93 ms 188340 KB Output is correct
47 Correct 94 ms 188396 KB Output is correct
48 Correct 93 ms 188352 KB Output is correct
49 Correct 104 ms 188364 KB Output is correct
50 Correct 94 ms 188320 KB Output is correct
51 Correct 93 ms 188304 KB Output is correct
52 Correct 288 ms 202764 KB Output is correct
53 Correct 310 ms 207972 KB Output is correct
54 Correct 247 ms 207072 KB Output is correct
55 Correct 246 ms 207292 KB Output is correct
56 Correct 250 ms 207692 KB Output is correct
57 Correct 251 ms 207556 KB Output is correct
58 Correct 243 ms 207988 KB Output is correct
59 Correct 241 ms 207296 KB Output is correct
60 Correct 246 ms 207264 KB Output is correct
61 Correct 238 ms 207348 KB Output is correct
62 Correct 253 ms 207260 KB Output is correct
63 Correct 214 ms 206268 KB Output is correct
64 Correct 215 ms 208068 KB Output is correct
65 Correct 301 ms 208048 KB Output is correct
66 Correct 282 ms 208044 KB Output is correct
67 Correct 297 ms 207928 KB Output is correct
68 Correct 302 ms 208052 KB Output is correct
69 Correct 269 ms 207660 KB Output is correct
70 Correct 294 ms 207884 KB Output is correct
71 Correct 276 ms 207752 KB Output is correct
72 Correct 282 ms 207780 KB Output is correct
73 Correct 275 ms 207756 KB Output is correct
74 Correct 282 ms 207852 KB Output is correct
75 Correct 289 ms 207864 KB Output is correct
76 Correct 268 ms 207940 KB Output is correct
77 Correct 240 ms 207652 KB Output is correct
78 Correct 278 ms 207964 KB Output is correct
79 Correct 287 ms 207332 KB Output is correct
80 Correct 286 ms 207424 KB Output is correct