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Submission #843141

# Submission time Handle Problem Language Result Execution time Memory
843141 2023-09-03T17:54:20 Z abcvuitunggio Overtaking (IOI23_overtaking) C++17
100 / 100
 3341 ms 1339180 KB 
#include "overtaking.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;
const ll INF=2e18;
vector <pii> st;
vector <int> le,ri;
vector <pair <pii, int>> v;
ll e[1001][1001],r[1001][1001],n,t[1001],w[1001],l,x,id;
void gen(){
    st.push_back({INF,INF});
    le.push_back(-1);
    ri.push_back(-1);
    id++;
}
void update(int node, ll l, ll r, ll u, ll v, pii p){
    if (l>v||r<u||l>r||u>v)
        return;
    if (l>=u&&r<=v){
        st[node]=min(st[node],p);
        return;
    }
    ll mid=(l+r)>>1;
    if (le[node]==-1){
        le[node]=id;
        gen();
    }
    update(le[node],l,mid,u,v,p);
    if (ri[node]==-1){
        ri[node]=id;
        gen();
    }
    update(ri[node],mid+1,r,u,v,p);
}
pii get(int node, ll l, ll r, ll i){
    pii p={INF,i};
    while (node!=-1){
        p=min(p,st[node]);
        ll mid=(l+r)>>1;
        if (mid>=i){
            r=mid;
            node=le[node];
        }
        else{
            l=mid+1;
            node=ri[node];
        }
    }
    return p;
}
void init(int L, int N, vector <ll> T, vector <int> W, int X, int m, vector <int> s){
    l=L;
    x=X;
    for (int i=0;i<N;i++){
        if (W[i]>x){
            w[n]=W[i];
            e[n][0]=t[n]=T[i];
            n++;
        }
    }
    for (int i=1;i<m;i++){
        for (int j=0;j<n;j++)
            v.push_back({{e[j][i-1],w[j]},j});
        sort(v.begin(),v.end());
        ll mx=0;
        for (int it=0;it<v.size();it++){
            int j=v[it].second;
            mx=max(mx,e[j][i-1]+w[j]*(s[i]-s[i-1]));
            e[j][i]=mx;
            r[j][i-1]=min((it==v.size()-1?INF:e[v[it+1].second][i-1]),mx-x*(s[i]-s[i-1]));
        }
        v.clear();
    }
    gen();
    for (int i=m-1;i;i--){
        for (int j=0;j<n;j++)
            v.push_back({{e[j][i],w[j]},j});
        sort(v.begin(),v.end());
        for (auto p:v){
            int j=p.second;
            update(0,0,INF,e[j][i-1]+1+x*(l-s[i-1]),r[j][i-1]+x*(l-s[i-1]),{i,get(0,0,INF,e[j][i]+x*(l-s[i])).second});
        }
        v.clear();
    }
}
ll arrival_time(ll y){
    return get(0,0,INF,y+x*l).second;
}

Compilation message

overtaking.cpp: In function 'void init(int, int, std::vector<long long int>, std::vector<int>, int, int, std::vector<int>)':
overtaking.cpp:67:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |         for (int it=0;it<v.size();it++){
      |                       ~~^~~~~~~~~
overtaking.cpp:71:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |             r[j][i-1]=min((it==v.size()-1?INF:e[v[it+1].second][i-1]),mx-x*(s[i]-s[i-1]));
      |                            ~~^~~~~~~~~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2592 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 2 ms 3028 KB Output is correct
7 Correct 2 ms 3280 KB Output is correct
8 Correct 3 ms 3792 KB Output is correct
9 Correct 3 ms 4044 KB Output is correct
10 Correct 3 ms 3792 KB Output is correct
11 Correct 1 ms 344 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 1 ms 6744 KB Output is correct
4 Correct 1 ms 6744 KB Output is correct
5 Correct 2 ms 11220 KB Output is correct
6 Correct 4 ms 15572 KB Output is correct
7 Correct 4 ms 16852 KB Output is correct
8 Correct 4 ms 16848 KB Output is correct
9 Correct 4 ms 16848 KB Output is correct
10 Correct 3 ms 15448 KB Output is correct
11 Correct 3 ms 15828 KB Output is correct
12 Correct 4 ms 16852 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2592 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2648 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 6744 KB Output is correct
7 Correct 1 ms 6744 KB Output is correct
8 Correct 1 ms 6744 KB Output is correct
9 Correct 12 ms 13512 KB Output is correct
10 Correct 14 ms 13512 KB Output is correct
11 Correct 14 ms 13508 KB Output is correct
12 Correct 14 ms 13764 KB Output is correct
13 Correct 14 ms 13508 KB Output is correct
14 Correct 14 ms 13764 KB Output is correct
15 Correct 14 ms 13000 KB Output is correct
16 Correct 14 ms 14024 KB Output is correct
17 Correct 14 ms 13152 KB Output is correct
18 Correct 13 ms 12744 KB Output is correct
19 Correct 14 ms 13768 KB Output is correct
20 Correct 13 ms 13256 KB Output is correct
21 Correct 7 ms 7372 KB Output is correct
22 Correct 7 ms 9420 KB Output is correct
23 Correct 9 ms 7636 KB Output is correct
24 Correct 21 ms 19048 KB Output is correct
25 Correct 16 ms 19140 KB Output is correct
26 Correct 17 ms 20008 KB Output is correct
27 Correct 16 ms 18888 KB Output is correct
28 Correct 12 ms 13508 KB Output is correct
29 Correct 12 ms 12996 KB Output is correct
30 Correct 12 ms 14028 KB Output is correct
31 Correct 13 ms 14024 KB Output is correct
32 Correct 7 ms 7384 KB Output is correct
33 Correct 8 ms 7888 KB Output is correct
34 Correct 10 ms 9928 KB Output is correct
35 Correct 13 ms 14024 KB Output is correct
36 Correct 10 ms 9932 KB Output is correct
37 Correct 12 ms 9672 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 600 KB Output is correct
40 Correct 7 ms 7004 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2592 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2648 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 2 ms 3280 KB Output is correct
9 Correct 3 ms 3792 KB Output is correct
10 Correct 3 ms 4044 KB Output is correct
11 Correct 3 ms 3792 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 6744 KB Output is correct
14 Correct 1 ms 6744 KB Output is correct
15 Correct 1 ms 6744 KB Output is correct
16 Correct 12 ms 13512 KB Output is correct
17 Correct 14 ms 13512 KB Output is correct
18 Correct 14 ms 13508 KB Output is correct
19 Correct 14 ms 13764 KB Output is correct
20 Correct 14 ms 13508 KB Output is correct
21 Correct 14 ms 13764 KB Output is correct
22 Correct 14 ms 13000 KB Output is correct
23 Correct 14 ms 14024 KB Output is correct
24 Correct 14 ms 13152 KB Output is correct
25 Correct 13 ms 12744 KB Output is correct
26 Correct 14 ms 13768 KB Output is correct
27 Correct 13 ms 13256 KB Output is correct
28 Correct 7 ms 7372 KB Output is correct
29 Correct 7 ms 9420 KB Output is correct
30 Correct 9 ms 7636 KB Output is correct
31 Correct 21 ms 19048 KB Output is correct
32 Correct 16 ms 19140 KB Output is correct
33 Correct 17 ms 20008 KB Output is correct
34 Correct 16 ms 18888 KB Output is correct
35 Correct 12 ms 13508 KB Output is correct
36 Correct 12 ms 12996 KB Output is correct
37 Correct 12 ms 14028 KB Output is correct
38 Correct 13 ms 14024 KB Output is correct
39 Correct 7 ms 7384 KB Output is correct
40 Correct 8 ms 7888 KB Output is correct
41 Correct 10 ms 9928 KB Output is correct
42 Correct 13 ms 14024 KB Output is correct
43 Correct 10 ms 9932 KB Output is correct
44 Correct 12 ms 9672 KB Output is correct
45 Correct 0 ms 344 KB Output is correct
46 Correct 0 ms 600 KB Output is correct
47 Correct 7 ms 7004 KB Output is correct
48 Correct 1357 ms 203092 KB Output is correct
49 Correct 1551 ms 366948 KB Output is correct
50 Correct 1594 ms 367360 KB Output is correct
51 Correct 1592 ms 368244 KB Output is correct
52 Correct 1617 ms 368140 KB Output is correct
53 Correct 1550 ms 367112 KB Output is correct
54 Correct 1571 ms 366720 KB Output is correct
55 Correct 949 ms 202744 KB Output is correct
56 Correct 1397 ms 367888 KB Output is correct
57 Correct 1470 ms 409824 KB Output is correct
58 Correct 1475 ms 371264 KB Output is correct
59 Correct 1420 ms 366968 KB Output is correct
60 Correct 1475 ms 366732 KB Output is correct
61 Correct 1528 ms 373316 KB Output is correct
62 Correct 4 ms 4044 KB Output is correct
63 Correct 5 ms 16684 KB Output is correct
64 Correct 732 ms 198420 KB Output is correct
65 Correct 889 ms 368200 KB Output is correct
66 Correct 1052 ms 23224 KB Output is correct
67 Correct 2591 ms 1331132 KB Output is correct
68 Correct 2659 ms 1330848 KB Output is correct
69 Correct 734 ms 69576 KB Output is correct
70 Correct 761 ms 119028 KB Output is correct
71 Correct 962 ms 367888 KB Output is correct
72 Correct 1295 ms 674484 KB Output is correct
73 Correct 998 ms 366408 KB Output is correct
74 Correct 995 ms 367048 KB Output is correct
75 Correct 2 ms 344 KB Output is correct
76 Correct 1 ms 348 KB Output is correct
77 Correct 1 ms 448 KB Output is correct
78 Correct 686 ms 45128 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2592 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2648 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 2 ms 3280 KB Output is correct
9 Correct 3 ms 3792 KB Output is correct
10 Correct 3 ms 4044 KB Output is correct
11 Correct 3 ms 3792 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 6744 KB Output is correct
14 Correct 1 ms 6744 KB Output is correct
15 Correct 1 ms 6744 KB Output is correct
16 Correct 1 ms 6744 KB Output is correct
17 Correct 2 ms 11220 KB Output is correct
18 Correct 4 ms 15572 KB Output is correct
19 Correct 4 ms 16852 KB Output is correct
20 Correct 4 ms 16848 KB Output is correct
21 Correct 4 ms 16848 KB Output is correct
22 Correct 3 ms 15448 KB Output is correct
23 Correct 3 ms 15828 KB Output is correct
24 Correct 4 ms 16852 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 12 ms 13512 KB Output is correct
28 Correct 14 ms 13512 KB Output is correct
29 Correct 14 ms 13508 KB Output is correct
30 Correct 14 ms 13764 KB Output is correct
31 Correct 14 ms 13508 KB Output is correct
32 Correct 14 ms 13764 KB Output is correct
33 Correct 14 ms 13000 KB Output is correct
34 Correct 14 ms 14024 KB Output is correct
35 Correct 14 ms 13152 KB Output is correct
36 Correct 13 ms 12744 KB Output is correct
37 Correct 14 ms 13768 KB Output is correct
38 Correct 13 ms 13256 KB Output is correct
39 Correct 7 ms 7372 KB Output is correct
40 Correct 7 ms 9420 KB Output is correct
41 Correct 9 ms 7636 KB Output is correct
42 Correct 21 ms 19048 KB Output is correct
43 Correct 16 ms 19140 KB Output is correct
44 Correct 17 ms 20008 KB Output is correct
45 Correct 16 ms 18888 KB Output is correct
46 Correct 12 ms 13508 KB Output is correct
47 Correct 12 ms 12996 KB Output is correct
48 Correct 12 ms 14028 KB Output is correct
49 Correct 13 ms 14024 KB Output is correct
50 Correct 7 ms 7384 KB Output is correct
51 Correct 8 ms 7888 KB Output is correct
52 Correct 10 ms 9928 KB Output is correct
53 Correct 13 ms 14024 KB Output is correct
54 Correct 10 ms 9932 KB Output is correct
55 Correct 12 ms 9672 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 0 ms 600 KB Output is correct
58 Correct 7 ms 7004 KB Output is correct
59 Correct 1357 ms 203092 KB Output is correct
60 Correct 1551 ms 366948 KB Output is correct
61 Correct 1594 ms 367360 KB Output is correct
62 Correct 1592 ms 368244 KB Output is correct
63 Correct 1617 ms 368140 KB Output is correct
64 Correct 1550 ms 367112 KB Output is correct
65 Correct 1571 ms 366720 KB Output is correct
66 Correct 949 ms 202744 KB Output is correct
67 Correct 1397 ms 367888 KB Output is correct
68 Correct 1470 ms 409824 KB Output is correct
69 Correct 1475 ms 371264 KB Output is correct
70 Correct 1420 ms 366968 KB Output is correct
71 Correct 1475 ms 366732 KB Output is correct
72 Correct 1528 ms 373316 KB Output is correct
73 Correct 4 ms 4044 KB Output is correct
74 Correct 5 ms 16684 KB Output is correct
75 Correct 732 ms 198420 KB Output is correct
76 Correct 889 ms 368200 KB Output is correct
77 Correct 1052 ms 23224 KB Output is correct
78 Correct 2591 ms 1331132 KB Output is correct
79 Correct 2659 ms 1330848 KB Output is correct
80 Correct 734 ms 69576 KB Output is correct
81 Correct 761 ms 119028 KB Output is correct
82 Correct 962 ms 367888 KB Output is correct
83 Correct 1295 ms 674484 KB Output is correct
84 Correct 998 ms 366408 KB Output is correct
85 Correct 995 ms 367048 KB Output is correct
86 Correct 2 ms 344 KB Output is correct
87 Correct 1 ms 348 KB Output is correct
88 Correct 1 ms 448 KB Output is correct
89 Correct 686 ms 45128 KB Output is correct
90 Correct 1511 ms 203624 KB Output is correct
91 Correct 2143 ms 376268 KB Output is correct
92 Correct 2117 ms 375024 KB Output is correct
93 Correct 2164 ms 381620 KB Output is correct
94 Correct 2197 ms 374316 KB Output is correct
95 Correct 2167 ms 374472 KB Output is correct
96 Correct 2162 ms 378004 KB Output is correct
97 Correct 1078 ms 203796 KB Output is correct
98 Correct 2103 ms 376056 KB Output is correct
99 Correct 2106 ms 435120 KB Output is correct
100 Correct 2109 ms 392680 KB Output is correct
101 Correct 2025 ms 374520 KB Output is correct
102 Correct 1946 ms 375900 KB Output is correct
103 Correct 1965 ms 391720 KB Output is correct
104 Correct 1140 ms 205120 KB Output is correct
105 Correct 1634 ms 376040 KB Output is correct
106 Correct 1461 ms 56912 KB Output is correct
107 Correct 2750 ms 772512 KB Output is correct
108 Correct 3210 ms 1337940 KB Output is correct
109 Correct 3195 ms 1338372 KB Output is correct
110 Correct 3341 ms 1339180 KB Output is correct
111 Correct 1053 ms 95740 KB Output is correct
112 Correct 1082 ms 133824 KB Output is correct
113 Correct 1627 ms 374940 KB Output is correct
114 Correct 2463 ms 681976 KB Output is correct
115 Correct 1581 ms 375220 KB Output is correct
116 Correct 1361 ms 374720 KB Output is correct
117 Correct 204 ms 27988 KB Output is correct
118 Correct 182 ms 27984 KB Output is correct
119 Correct 173 ms 26960 KB Output is correct
120 Correct 181 ms 27992 KB Output is correct
121 Correct 188 ms 29012 KB Output is correct
122 Correct 1058 ms 67644 KB Output is correct
123 Correct 2511 ms 682012 KB Output is correct
124 Correct 2664 ms 681804 KB Output is correct
125 Correct 2618 ms 682368 KB Output is correct