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Submission #1007867

# Submission time Handle Problem Language Result Execution time Memory
1007867 2024-06-25T15:46:56 Z PotatoMan Overtaking (IOI23_overtaking) C++17
100 / 100
 1071 ms 111188 KB 
#include "overtaking.h"
#include <bits/stdc++.h>
#define ll long long
#define inf INT_MAX
using namespace std;

vector<ll> s;
vector<pair<ll,ll>> p;
ll l,n,x,m;
vector<vector<pair<pair<ll,ll>,int>>> ps(1005);
vector<vector<ll>> start(1005);
vector<pair<pair<ll,ll>,int>> cur;
ll pos = 0;
pair<ll,ll> pref[1005][1005];
ll dp[1005][1005];
ll h[1005][1005];

ll f(int xx,int y,ll hh){
	//cout<<"!"<<xx<<" "<<y<<" "<<hh<<"\n";
	if( y == m-1 ) return dp[xx][y] = hh;
	if( dp[xx][y] != 0 ) return dp[xx][y];
	int foo = lower_bound(start[y+1].begin(),start[y+1].end(),hh) - start[y+1].begin();
	int l = y+1,r = m;
	int res = inf;
	while( l <= r ){
		int tm = (l+r)/2;
		ll vh = hh+(s[tm-1]-s[y])*x;
		int vm = lower_bound(start[tm].begin(),start[tm].end(),vh) - start[tm].begin();
		//cout<<"? "<<tm<<" "<<vh<<" "<<vm<<" "<<foo<<"\n";
		if( vm < foo ){
			res = min(res,tm);
			r = tm-1;
		}
		else{
			l = tm+1;
		}
	}
	//cout<<"res :"<<res<<"\n";
	if( res == inf ){
		return dp[xx][y] = hh+(s.back()-s[y])*x;
	}
	foo = upper_bound(start[res-1].begin(),start[res-1].end(),hh+(s[res-2]-s[y])*x-1) - start[res-1].begin();
	//cout<<"foo :"<<hh+(s[res-2]-s[y])*x<<" "<<foo<<" "<<res<<"\n";
	return dp[xx][y] = f(pref[res-2][foo].second,res-1,h[pref[res-2][foo].second][res-1]);
}

void init(int L, int N, std::vector<long long> T, std::vector<int> W, int X, int M, std::vector<int> S)
{
	n = N;
	for(int i = 0 ; i < n ; i++) p.push_back({T[i],W[i]});
	for(auto u : S) s.push_back(u);
	l = L;
	x = X;
	m = M;
	for(int i = 0 ; i < n ; i++){
		if( p[i].second >= x ){
			h[cur.size()][0] = p[i].first;
			cur.push_back({p[i],cur.size()});
		}
	}
	//preprocessing
	n = cur.size();
	for(int i = 1 ; i < m ; i++){
		sort(cur.begin(),cur.end());
		ll mx = 0;
		for(int j = 0 ; j < n ; j++){
			start[i].push_back(cur[j].first.first);
			if( cur[j].first.first+(s[i]-pos)*cur[j].first.second <= mx ){
				ps[i].push_back({{cur[j].first.first,mx},cur[j].second});
				cur[j].first.first = mx;
				h[cur[j].second][i] = cur[j].first.first;
			}
			else{
				ps[i].push_back({{cur[j].first.first,cur[j].first.first+(s[i]-pos)*cur[j].first.second},cur[j].second});
				cur[j].first.first = cur[j].first.first+(s[i]-pos)*cur[j].first.second;
				mx = cur[j].first.first;
				h[cur[j].second][i] = cur[j].first.first;
			}
		}
		pos = s[i];
	}
	for(int i = 0 ; i < n ; i++) {
		start[m].push_back(cur[i].first.first);
	}
	for(int i = 1 ; i <= m ; i++) {
		sort(ps[i].begin(),ps[i].end());
		sort(start[i].begin(),start[i].end());
	}
	//~ cout<<"start\n";
	//~ for(int i = 0 ; i <= m ; i++){
		//~ for(auto u : start[i]) cout<<u<<" ";
		//~ cout<<"\n";
	//~ }
	//prefmax
	for(int i = 0 ; i < m ; i++){
		pref[i][0] = {0,0};
		for(int j = 1 ; j <= (int) ps[i+1].size() ; j++){
			if( ps[i+1][j-1].first.second > pref[i][j-1].first ){
				pref[i][j] = {ps[i+1][j-1].first.second,ps[i+1][j-1].second};
			}
			else pref[i][j] = pref[i][j-1];
			//cout<<"pref "<<i<<" "<<j<<" "<<pref[i][j].first<<" "<<pref[i][j].second<<"\n";
		}
	}
	//dp
	memset(dp,0,sizeof(dp));
	for(int i = 0 ; i < n ; i++){
		for(int j = 0 ; j < m ; j++){
			f(i,j,h[i][j]);
			//cout<<"dp "<<i<<" "<<j<<" "<<h[i][j]<<" "<<dp[i][j]<<"\n";
		}
	}
    return;
}

long long arrival_time(long long Y)
{
	ll y = Y,ans;
	int foo = lower_bound(start[1].begin(),start[1].end(),y) - start[1].begin();
	int l = 1,r = m;
	int res = inf;
	while( l <= r ){
		int tm = (l+r)/2;
		ll vh = y+s[tm-1]*x;
		int vm = lower_bound(start[tm].begin(),start[tm].end(),vh) - start[tm].begin();
		//cout<<tm<<" "<<vh<<" "<<vm<<" "<<foo<<"\n";
		if( vm < foo ){
			res = min(res,tm);
			r = tm-1;
		}
		else{
			l = tm+1;
		}
	}
	if( res == inf ){
		ans = Y+s.back()*x;
		return ans;
	}
	foo = upper_bound(start[res-1].begin(),start[res-1].end(),y+s[res-2]*x-1) - start[res-1].begin();
	//cout<<"! "<<res<<" "<<foo<<"\n";
	return dp[pref[res-2][foo].second][res-1];
}

//~ 100 1 10 3 1
//~ 0
//~ 20
//~ 0 20 100
//~ 10

//~ 1000 1 20 6 1
//~ 0
//~ 100
//~ 0 1 2 3 4 5
//~ 210

//~ 10000 2 2 2 1
//~ 500 0
//~ 5 10
//~ 0 100
//~ 800

//~ 10000 2 10 2 2
//~ 0 100
//~ 100 100
//~ 0 100
//~ 10 101

//~ 6 4 10 4 2
//~ 20 10 40 0
//~ 5 20 20 30
//~ 0 1 3 6
//~ 0 50

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 1 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 3 ms 23128 KB Output is correct
8 Correct 3 ms 25356 KB Output is correct
9 Correct 3 ms 25180 KB Output is correct
10 Correct 3 ms 25180 KB Output is correct
11 Correct 3 ms 25180 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12892 KB Output is correct
2 Correct 1 ms 12892 KB Output is correct
3 Correct 2 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 14940 KB Output is correct
6 Correct 3 ms 16988 KB Output is correct
7 Correct 3 ms 17144 KB Output is correct
8 Correct 3 ms 16988 KB Output is correct
9 Correct 3 ms 17240 KB Output is correct
10 Correct 3 ms 16984 KB Output is correct
11 Correct 3 ms 16988 KB Output is correct
12 Correct 3 ms 16984 KB Output is correct
13 Correct 2 ms 10840 KB Output is correct
14 Correct 2 ms 10588 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 12636 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 12636 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 1 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 3 ms 15192 KB Output is correct
10 Correct 3 ms 15192 KB Output is correct
11 Correct 3 ms 15196 KB Output is correct
12 Correct 3 ms 15196 KB Output is correct
13 Correct 3 ms 15192 KB Output is correct
14 Correct 3 ms 15448 KB Output is correct
15 Correct 3 ms 15196 KB Output is correct
16 Correct 3 ms 15196 KB Output is correct
17 Correct 3 ms 15196 KB Output is correct
18 Correct 3 ms 15196 KB Output is correct
19 Correct 3 ms 15196 KB Output is correct
20 Correct 3 ms 15348 KB Output is correct
21 Correct 3 ms 14940 KB Output is correct
22 Correct 3 ms 12892 KB Output is correct
23 Correct 3 ms 15196 KB Output is correct
24 Correct 3 ms 15196 KB Output is correct
25 Correct 3 ms 15352 KB Output is correct
26 Correct 3 ms 15336 KB Output is correct
27 Correct 3 ms 15192 KB Output is correct
28 Correct 3 ms 15192 KB Output is correct
29 Correct 3 ms 15448 KB Output is correct
30 Correct 3 ms 15080 KB Output is correct
31 Correct 3 ms 15028 KB Output is correct
32 Correct 3 ms 15196 KB Output is correct
33 Correct 3 ms 15196 KB Output is correct
34 Correct 3 ms 15372 KB Output is correct
35 Correct 3 ms 15196 KB Output is correct
36 Correct 3 ms 15364 KB Output is correct
37 Correct 3 ms 15192 KB Output is correct
38 Correct 1 ms 12636 KB Output is correct
39 Correct 2 ms 12636 KB Output is correct
40 Correct 3 ms 15196 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 12636 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 12636 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 16732 KB Output is correct
8 Correct 3 ms 23128 KB Output is correct
9 Correct 3 ms 25356 KB Output is correct
10 Correct 3 ms 25180 KB Output is correct
11 Correct 3 ms 25180 KB Output is correct
12 Correct 3 ms 25180 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 1 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 3 ms 15192 KB Output is correct
17 Correct 3 ms 15192 KB Output is correct
18 Correct 3 ms 15196 KB Output is correct
19 Correct 3 ms 15196 KB Output is correct
20 Correct 3 ms 15192 KB Output is correct
21 Correct 3 ms 15448 KB Output is correct
22 Correct 3 ms 15196 KB Output is correct
23 Correct 3 ms 15196 KB Output is correct
24 Correct 3 ms 15196 KB Output is correct
25 Correct 3 ms 15196 KB Output is correct
26 Correct 3 ms 15196 KB Output is correct
27 Correct 3 ms 15348 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 12892 KB Output is correct
30 Correct 3 ms 15196 KB Output is correct
31 Correct 3 ms 15196 KB Output is correct
32 Correct 3 ms 15352 KB Output is correct
33 Correct 3 ms 15336 KB Output is correct
34 Correct 3 ms 15192 KB Output is correct
35 Correct 3 ms 15192 KB Output is correct
36 Correct 3 ms 15448 KB Output is correct
37 Correct 3 ms 15080 KB Output is correct
38 Correct 3 ms 15028 KB Output is correct
39 Correct 3 ms 15196 KB Output is correct
40 Correct 3 ms 15196 KB Output is correct
41 Correct 3 ms 15372 KB Output is correct
42 Correct 3 ms 15196 KB Output is correct
43 Correct 3 ms 15364 KB Output is correct
44 Correct 3 ms 15192 KB Output is correct
45 Correct 1 ms 12636 KB Output is correct
46 Correct 2 ms 12636 KB Output is correct
47 Correct 3 ms 15196 KB Output is correct
48 Correct 338 ms 68196 KB Output is correct
49 Correct 312 ms 68180 KB Output is correct
50 Correct 258 ms 68120 KB Output is correct
51 Correct 260 ms 68164 KB Output is correct
52 Correct 258 ms 68140 KB Output is correct
53 Correct 276 ms 68268 KB Output is correct
54 Correct 279 ms 68180 KB Output is correct
55 Correct 480 ms 68304 KB Output is correct
56 Correct 273 ms 68176 KB Output is correct
57 Correct 254 ms 68176 KB Output is correct
58 Correct 267 ms 68176 KB Output is correct
59 Correct 250 ms 68176 KB Output is correct
60 Correct 285 ms 68264 KB Output is correct
61 Correct 253 ms 68180 KB Output is correct
62 Correct 4 ms 25440 KB Output is correct
63 Correct 3 ms 17244 KB Output is correct
64 Correct 154 ms 45968 KB Output is correct
65 Correct 155 ms 41552 KB Output is correct
66 Correct 373 ms 68436 KB Output is correct
67 Correct 359 ms 68432 KB Output is correct
68 Correct 376 ms 68432 KB Output is correct
69 Correct 173 ms 68180 KB Output is correct
70 Correct 152 ms 68176 KB Output is correct
71 Correct 175 ms 68144 KB Output is correct
72 Correct 181 ms 68176 KB Output is correct
73 Correct 163 ms 68264 KB Output is correct
74 Correct 167 ms 68180 KB Output is correct
75 Correct 3 ms 25436 KB Output is correct
76 Correct 3 ms 25436 KB Output is correct
77 Correct 3 ms 25436 KB Output is correct
78 Correct 205 ms 68176 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 12636 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 1 ms 12636 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 16732 KB Output is correct
8 Correct 3 ms 23128 KB Output is correct
9 Correct 3 ms 25356 KB Output is correct
10 Correct 3 ms 25180 KB Output is correct
11 Correct 3 ms 25180 KB Output is correct
12 Correct 3 ms 25180 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 1 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 2 ms 12892 KB Output is correct
17 Correct 2 ms 14940 KB Output is correct
18 Correct 3 ms 16988 KB Output is correct
19 Correct 3 ms 17144 KB Output is correct
20 Correct 3 ms 16988 KB Output is correct
21 Correct 3 ms 17240 KB Output is correct
22 Correct 3 ms 16984 KB Output is correct
23 Correct 3 ms 16988 KB Output is correct
24 Correct 3 ms 16984 KB Output is correct
25 Correct 2 ms 10840 KB Output is correct
26 Correct 2 ms 10588 KB Output is correct
27 Correct 3 ms 15192 KB Output is correct
28 Correct 3 ms 15192 KB Output is correct
29 Correct 3 ms 15196 KB Output is correct
30 Correct 3 ms 15196 KB Output is correct
31 Correct 3 ms 15192 KB Output is correct
32 Correct 3 ms 15448 KB Output is correct
33 Correct 3 ms 15196 KB Output is correct
34 Correct 3 ms 15196 KB Output is correct
35 Correct 3 ms 15196 KB Output is correct
36 Correct 3 ms 15196 KB Output is correct
37 Correct 3 ms 15196 KB Output is correct
38 Correct 3 ms 15348 KB Output is correct
39 Correct 3 ms 14940 KB Output is correct
40 Correct 3 ms 12892 KB Output is correct
41 Correct 3 ms 15196 KB Output is correct
42 Correct 3 ms 15196 KB Output is correct
43 Correct 3 ms 15352 KB Output is correct
44 Correct 3 ms 15336 KB Output is correct
45 Correct 3 ms 15192 KB Output is correct
46 Correct 3 ms 15192 KB Output is correct
47 Correct 3 ms 15448 KB Output is correct
48 Correct 3 ms 15080 KB Output is correct
49 Correct 3 ms 15028 KB Output is correct
50 Correct 3 ms 15196 KB Output is correct
51 Correct 3 ms 15196 KB Output is correct
52 Correct 3 ms 15372 KB Output is correct
53 Correct 3 ms 15196 KB Output is correct
54 Correct 3 ms 15364 KB Output is correct
55 Correct 3 ms 15192 KB Output is correct
56 Correct 1 ms 12636 KB Output is correct
57 Correct 2 ms 12636 KB Output is correct
58 Correct 3 ms 15196 KB Output is correct
59 Correct 338 ms 68196 KB Output is correct
60 Correct 312 ms 68180 KB Output is correct
61 Correct 258 ms 68120 KB Output is correct
62 Correct 260 ms 68164 KB Output is correct
63 Correct 258 ms 68140 KB Output is correct
64 Correct 276 ms 68268 KB Output is correct
65 Correct 279 ms 68180 KB Output is correct
66 Correct 480 ms 68304 KB Output is correct
67 Correct 273 ms 68176 KB Output is correct
68 Correct 254 ms 68176 KB Output is correct
69 Correct 267 ms 68176 KB Output is correct
70 Correct 250 ms 68176 KB Output is correct
71 Correct 285 ms 68264 KB Output is correct
72 Correct 253 ms 68180 KB Output is correct
73 Correct 4 ms 25440 KB Output is correct
74 Correct 3 ms 17244 KB Output is correct
75 Correct 154 ms 45968 KB Output is correct
76 Correct 155 ms 41552 KB Output is correct
77 Correct 373 ms 68436 KB Output is correct
78 Correct 359 ms 68432 KB Output is correct
79 Correct 376 ms 68432 KB Output is correct
80 Correct 173 ms 68180 KB Output is correct
81 Correct 152 ms 68176 KB Output is correct
82 Correct 175 ms 68144 KB Output is correct
83 Correct 181 ms 68176 KB Output is correct
84 Correct 163 ms 68264 KB Output is correct
85 Correct 167 ms 68180 KB Output is correct
86 Correct 3 ms 25436 KB Output is correct
87 Correct 3 ms 25436 KB Output is correct
88 Correct 3 ms 25436 KB Output is correct
89 Correct 205 ms 68176 KB Output is correct
90 Correct 351 ms 71248 KB Output is correct
91 Correct 558 ms 103120 KB Output is correct
92 Correct 574 ms 102736 KB Output is correct
93 Correct 617 ms 103172 KB Output is correct
94 Correct 566 ms 103052 KB Output is correct
95 Correct 619 ms 103172 KB Output is correct
96 Correct 640 ms 103176 KB Output is correct
97 Correct 583 ms 71408 KB Output is correct
98 Correct 679 ms 102736 KB Output is correct
99 Correct 620 ms 103944 KB Output is correct
100 Correct 612 ms 103144 KB Output is correct
101 Correct 607 ms 102740 KB Output is correct
102 Correct 560 ms 102740 KB Output is correct
103 Correct 582 ms 103220 KB Output is correct
104 Correct 592 ms 78972 KB Output is correct
105 Correct 792 ms 78848 KB Output is correct
106 Correct 1071 ms 111188 KB Output is correct
107 Correct 1053 ms 110732 KB Output is correct
108 Correct 1002 ms 110932 KB Output is correct
109 Correct 986 ms 110988 KB Output is correct
110 Correct 986 ms 111044 KB Output is correct
111 Correct 474 ms 103248 KB Output is correct
112 Correct 494 ms 103428 KB Output is correct
113 Correct 612 ms 104276 KB Output is correct
114 Correct 727 ms 105620 KB Output is correct
115 Correct 588 ms 103552 KB Output is correct
116 Correct 512 ms 104528 KB Output is correct
117 Correct 208 ms 64080 KB Output is correct
118 Correct 190 ms 64336 KB Output is correct
119 Correct 167 ms 62292 KB Output is correct
120 Correct 169 ms 64376 KB Output is correct
121 Correct 175 ms 65360 KB Output is correct
122 Correct 627 ms 97364 KB Output is correct
123 Correct 896 ms 105564 KB Output is correct
124 Correct 818 ms 105556 KB Output is correct
125 Correct 804 ms 105556 KB Output is correct