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Submission #292558

# Submission time Handle Problem Language Result Execution time Memory
292558 2020-09-07T09:23:37 Z Saboon Roller Coaster Railroad (IOI16_railroad) C++17
100 / 100
 248 ms 20948 KB 
#include "railroad.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int maxn = 2e5 + 10;
const int inf = 1e9;

int n;
int par[2*maxn];
ll degIn[2*maxn], degOut[2*maxn];

int get_par(int v){
    return par[v] < 0 ? v : par[v] = get_par(par[v]);
}

bool merge(int v, int u){
    if ((v = get_par(v)) == (u = get_par(u)))
        return false;
    par[v] = u;
    return true;
}

ll plan_roller_coaster(vector<int> s, vector<int> t){
    s.push_back(inf);
    t.push_back(1);
    n = s.size();
    vector<int> Cmp;
    for (auto it : s) Cmp.push_back(it);
    for (auto it : t) Cmp.push_back(it);
    sort(Cmp.begin(), Cmp.end());
    Cmp.resize(unique(Cmp.begin(), Cmp.end())-Cmp.begin());
    memset(par, -1, sizeof par);
    for (int i = 0; i < n; i++){
        s[i] = lower_bound(Cmp.begin(), Cmp.end(), s[i]) - Cmp.begin();
        t[i] = lower_bound(Cmp.begin(), Cmp.end(), t[i]) - Cmp.begin();
        merge(t[i],s[i]);
        degOut[s[i]] ++, degIn[t[i]] ++;
    }
    int m = Cmp.size();
    ll untilNow = 0;
    for (int i = 0; i < m-1; i++){
        if (degIn[i] == degOut[i])
            continue;
        ll diff = abs(degIn[i]-degOut[i]);
        merge(i,i+1);
        if (degIn[i] < degOut[i]){
            degIn[i] += diff;
            degOut[i+1] += diff;
            untilNow += 1LL*diff*(Cmp[i+1]-Cmp[i]);
        }
        else{
            degOut[i] += diff;
            degIn[i+1] += diff;
        }
    }
    vector<pair<ll,pair<int,int>>> E;
    for (int i = 0; i < m-1; i++)
        if (get_par(i) != get_par(i+1))
            E.push_back({Cmp[i+1]-Cmp[i],{get_par(i),get_par(i+1)}});
    sort(E.begin(),E.end());
    for (auto it : E){
        int v = it.second.first, u = it.second.second;
        if (merge(v,u))
            untilNow += it.first;
    }
    return untilNow;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1920 KB n = 2
2 Correct 1 ms 1920 KB n = 2
3 Correct 1 ms 1920 KB n = 2
4 Correct 1 ms 1920 KB n = 2
5 Correct 1 ms 1920 KB n = 2
6 Correct 1 ms 1920 KB n = 2
7 Correct 1 ms 1920 KB n = 3
8 Correct 2 ms 1920 KB n = 3
9 Correct 1 ms 1920 KB n = 3
10 Correct 2 ms 1920 KB n = 8
11 Correct 1 ms 1920 KB n = 8
12 Correct 1 ms 1920 KB n = 8
13 Correct 2 ms 2048 KB n = 8
14 Correct 1 ms 1920 KB n = 8
15 Correct 2 ms 1920 KB n = 8
16 Correct 1 ms 1920 KB n = 8
17 Correct 2 ms 1920 KB n = 8
18 Correct 1 ms 1920 KB n = 8
19 Correct 1 ms 1920 KB n = 3
20 Correct 1 ms 1920 KB n = 7
21 Correct 2 ms 1920 KB n = 8
22 Correct 1 ms 1920 KB n = 8
23 Correct 1 ms 1920 KB n = 8
24 Correct 1 ms 1920 KB n = 8
25 Correct 1 ms 1920 KB n = 8

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1920 KB n = 2
2 Correct 1 ms 1920 KB n = 2
3 Correct 1 ms 1920 KB n = 2
4 Correct 1 ms 1920 KB n = 2
5 Correct 1 ms 1920 KB n = 2
6 Correct 1 ms 1920 KB n = 2
7 Correct 1 ms 1920 KB n = 3
8 Correct 2 ms 1920 KB n = 3
9 Correct 1 ms 1920 KB n = 3
10 Correct 2 ms 1920 KB n = 8
11 Correct 1 ms 1920 KB n = 8
12 Correct 1 ms 1920 KB n = 8
13 Correct 2 ms 2048 KB n = 8
14 Correct 1 ms 1920 KB n = 8
15 Correct 2 ms 1920 KB n = 8
16 Correct 1 ms 1920 KB n = 8
17 Correct 2 ms 1920 KB n = 8
18 Correct 1 ms 1920 KB n = 8
19 Correct 1 ms 1920 KB n = 3
20 Correct 1 ms 1920 KB n = 7
21 Correct 2 ms 1920 KB n = 8
22 Correct 1 ms 1920 KB n = 8
23 Correct 1 ms 1920 KB n = 8
24 Correct 1 ms 1920 KB n = 8
25 Correct 1 ms 1920 KB n = 8
26 Correct 1 ms 1920 KB n = 8
27 Correct 1 ms 1920 KB n = 8
28 Correct 1 ms 1920 KB n = 8
29 Correct 1 ms 1920 KB n = 16
30 Correct 1 ms 1920 KB n = 16
31 Correct 1 ms 1920 KB n = 16
32 Correct 1 ms 1920 KB n = 16
33 Correct 1 ms 1920 KB n = 16
34 Correct 1 ms 1920 KB n = 16
35 Correct 1 ms 1920 KB n = 16
36 Correct 1 ms 1920 KB n = 15
37 Correct 1 ms 1920 KB n = 8
38 Correct 1 ms 1920 KB n = 16
39 Correct 1 ms 1920 KB n = 16
40 Correct 1 ms 1920 KB n = 9
41 Correct 2 ms 1920 KB n = 16
42 Correct 1 ms 1920 KB n = 16
43 Correct 1 ms 1920 KB n = 16
44 Correct 1 ms 1920 KB n = 9
45 Correct 1 ms 1920 KB n = 15
46 Correct 1 ms 1920 KB n = 16
47 Correct 1 ms 1920 KB n = 16
48 Correct 1 ms 1920 KB n = 16

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 235 ms 14292 KB n = 199999
2 Correct 239 ms 14364 KB n = 199991
3 Correct 225 ms 14292 KB n = 199993
4 Correct 165 ms 11724 KB n = 152076
5 Correct 98 ms 9364 KB n = 93249
6 Correct 196 ms 15572 KB n = 199910
7 Correct 202 ms 17364 KB n = 199999
8 Correct 192 ms 15940 KB n = 199997
9 Correct 191 ms 15540 KB n = 171294
10 Correct 154 ms 12452 KB n = 140872
11 Correct 195 ms 15700 KB n = 199886
12 Correct 208 ms 17620 KB n = 199996
13 Correct 191 ms 16468 KB n = 200000
14 Correct 211 ms 19412 KB n = 199998
15 Correct 210 ms 18644 KB n = 200000
16 Correct 216 ms 19160 KB n = 199998
17 Correct 209 ms 20820 KB n = 200000
18 Correct 200 ms 17316 KB n = 190000
19 Correct 179 ms 18820 KB n = 177777
20 Correct 99 ms 9828 KB n = 100000
21 Correct 217 ms 17748 KB n = 200000
22 Correct 248 ms 20948 KB n = 200000
23 Correct 213 ms 17876 KB n = 200000

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1920 KB n = 2
2 Correct 1 ms 1920 KB n = 2
3 Correct 1 ms 1920 KB n = 2
4 Correct 1 ms 1920 KB n = 2
5 Correct 1 ms 1920 KB n = 2
6 Correct 1 ms 1920 KB n = 2
7 Correct 1 ms 1920 KB n = 3
8 Correct 2 ms 1920 KB n = 3
9 Correct 1 ms 1920 KB n = 3
10 Correct 2 ms 1920 KB n = 8
11 Correct 1 ms 1920 KB n = 8
12 Correct 1 ms 1920 KB n = 8
13 Correct 2 ms 2048 KB n = 8
14 Correct 1 ms 1920 KB n = 8
15 Correct 2 ms 1920 KB n = 8
16 Correct 1 ms 1920 KB n = 8
17 Correct 2 ms 1920 KB n = 8
18 Correct 1 ms 1920 KB n = 8
19 Correct 1 ms 1920 KB n = 3
20 Correct 1 ms 1920 KB n = 7
21 Correct 2 ms 1920 KB n = 8
22 Correct 1 ms 1920 KB n = 8
23 Correct 1 ms 1920 KB n = 8
24 Correct 1 ms 1920 KB n = 8
25 Correct 1 ms 1920 KB n = 8
26 Correct 1 ms 1920 KB n = 8
27 Correct 1 ms 1920 KB n = 8
28 Correct 1 ms 1920 KB n = 8
29 Correct 1 ms 1920 KB n = 16
30 Correct 1 ms 1920 KB n = 16
31 Correct 1 ms 1920 KB n = 16
32 Correct 1 ms 1920 KB n = 16
33 Correct 1 ms 1920 KB n = 16
34 Correct 1 ms 1920 KB n = 16
35 Correct 1 ms 1920 KB n = 16
36 Correct 1 ms 1920 KB n = 15
37 Correct 1 ms 1920 KB n = 8
38 Correct 1 ms 1920 KB n = 16
39 Correct 1 ms 1920 KB n = 16
40 Correct 1 ms 1920 KB n = 9
41 Correct 2 ms 1920 KB n = 16
42 Correct 1 ms 1920 KB n = 16
43 Correct 1 ms 1920 KB n = 16
44 Correct 1 ms 1920 KB n = 9
45 Correct 1 ms 1920 KB n = 15
46 Correct 1 ms 1920 KB n = 16
47 Correct 1 ms 1920 KB n = 16
48 Correct 1 ms 1920 KB n = 16
49 Correct 235 ms 14292 KB n = 199999
50 Correct 239 ms 14364 KB n = 199991
51 Correct 225 ms 14292 KB n = 199993
52 Correct 165 ms 11724 KB n = 152076
53 Correct 98 ms 9364 KB n = 93249
54 Correct 196 ms 15572 KB n = 199910
55 Correct 202 ms 17364 KB n = 199999
56 Correct 192 ms 15940 KB n = 199997
57 Correct 191 ms 15540 KB n = 171294
58 Correct 154 ms 12452 KB n = 140872
59 Correct 195 ms 15700 KB n = 199886
60 Correct 208 ms 17620 KB n = 199996
61 Correct 191 ms 16468 KB n = 200000
62 Correct 211 ms 19412 KB n = 199998
63 Correct 210 ms 18644 KB n = 200000
64 Correct 216 ms 19160 KB n = 199998
65 Correct 209 ms 20820 KB n = 200000
66 Correct 200 ms 17316 KB n = 190000
67 Correct 179 ms 18820 KB n = 177777
68 Correct 99 ms 9828 KB n = 100000
69 Correct 217 ms 17748 KB n = 200000
70 Correct 248 ms 20948 KB n = 200000
71 Correct 213 ms 17876 KB n = 200000
72 Correct 230 ms 17876 KB n = 200000
73 Correct 233 ms 17876 KB n = 200000
74 Correct 223 ms 17748 KB n = 200000
75 Correct 200 ms 17748 KB n = 200000
76 Correct 202 ms 17752 KB n = 200000
77 Correct 181 ms 17752 KB n = 200000
78 Correct 211 ms 17876 KB n = 200000
79 Correct 208 ms 16416 KB n = 184307
80 Correct 81 ms 7708 KB n = 76040
81 Correct 195 ms 15584 KB n = 199981
82 Correct 198 ms 17620 KB n = 199994
83 Correct 195 ms 16596 KB n = 199996
84 Correct 197 ms 19412 KB n = 199998
85 Correct 200 ms 18644 KB n = 200000
86 Correct 212 ms 19156 KB n = 199998
87 Correct 201 ms 20948 KB n = 200000
88 Correct 216 ms 18644 KB n = 200000
89 Correct 200 ms 20948 KB n = 200000
90 Correct 215 ms 17876 KB n = 200000
91 Correct 245 ms 20948 KB n = 200000
92 Correct 230 ms 17748 KB n = 200000