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Submission #1047110

# Submission time Handle Problem Language Result Execution time Memory
1047110 2024-08-07T09:01:36 Z vjudge1 Sky Walking (IOI19_walk) C++17
100 / 100
 1593 ms 202404 KB 
#include "walk.h"
#include<bits/stdc++.h>
using namespace std;
typedef vector<int> VI;
map<int,int>pos[100100];
vector<pair<int,int>> adj[1<<20];
int CC;
void AE(int a,int b,int c){
    adj[a].push_back({b,c});
    adj[b].push_back({a,c});
}
int whatpos(int i,int j){
    if(pos[i].count(j))
        return pos[i][j];
    pos[i][j]=++CC;
    auto it=pos[i].find(j);
    if(it!=pos[i].begin())
        AE(prev(it)->second,CC,it->first-prev(it)->first);
    if(next(it)!=pos[i].end())
        AE(next(it)->second,CC,next(it)->first-it->first);
    return CC;
}
long long dis[1<<20];
long long djik(int a,int b){
    memset(dis,9,sizeof dis);
    priority_queue<pair<long long,int>,vector<pair<long long,int>>,greater<>> pq;
    pq.push({0,a});
    dis[a]=0;
    while(pq.size()){
        auto[d,x]=pq.top();
        pq.pop();
        if(d-dis[x])continue;
        for(auto[v,w]:adj[x])
            if(dis[v]>d+w)
                pq.push({dis[v]=d+w,v});
    }
    return dis[b]<dis[0]?dis[b]:-1;
}
set<int>intersection[1<<20];
map<int,int>lft,rt;
void makestuf(VI h,int pos){
    lft.clear();
    rt.clear();
    int n=h.size();
    for(int i=0;i<=pos;i++) {
        lft[h[i]]=i;
        while(lft.begin()->first<h[i])
            lft.erase(lft.begin());
    }
    for(int i=n;i-->pos;){
        rt[h[i]]=i;
        while(rt.begin()->first<h[i])
            rt.erase(rt.begin());
    }
}
long long min_distance(VI x,VI h,VI l,VI r,VI y,int s,int g) {
    int m=l.size();
    makestuf(h,s);
    for(int i=0;i<m;i++)
        if(l[i]<s&&r[i]>s) {
            int A=lft.lower_bound(y[i])->second;
            int B=rt.lower_bound(y[i])->second;
            assert(A>=l[i]);
            assert(B<=r[i]);
            if(A-l[i])
                l.push_back(l[i]),
                r.push_back(l[i]=A),
                y.push_back(y[i]);
            if(B-r[i])
                r.push_back(r[i]),
                l.push_back(r[i]=B),
                y.push_back(y[i]);
        }
    m=l.size();
    makestuf(h,g);
    for(int i=0;i<m;i++)
        if(l[i]<g&&r[i]>g) {
            int A=lft.lower_bound(y[i])->second;
            int B=rt.lower_bound(y[i])->second;
            assert(A>=l[i]);
            assert(B<=r[i]);
            if(A-l[i])
                l.push_back(l[i]),
                r.push_back(l[i]=A),
                y.push_back(y[i]);
            if(B-r[i])
                r.push_back(r[i]),
                l.push_back(r[i]=B),
                y.push_back(y[i]);
        }
    m=l.size();
    vector<pair<int,int>> endpts;
    for(int i=0;i<m;i++) if(l[i]-r[i])
        endpts.push_back({l[i],i}),
        endpts.push_back({r[i],i}),
        whatpos(l[i],y[i]),whatpos(r[i],y[i]);
    sort(endpts.begin(),endpts.end());
    set<pair<int,int>> active;
    for(auto[b,i]:endpts){
        int pos=y[i];
        if(active.lower_bound({pos,0})!=active.begin()){
            auto it=--active.lower_bound({pos,0});
            intersection[it->second].insert(b);
            whatpos(b,it->first);
        }
        if(active.count({pos,i}))
            active.erase({pos,i});
        else active.insert({pos,i});
    }
    for(int i=0;i<m;i++){
        if(l[i]==r[i])continue;
        intersection[i].erase(l[i]);
        intersection[i].insert(r[i]);
        int prvind=whatpos(l[i],y[i]),prvpos=x[l[i]];
        for(auto j:intersection[i])
            AE(prvind,whatpos(j,y[i]),x[j]-prvpos),
            prvind=whatpos(j,y[i]),prvpos=x[j];
    }
    return djik(whatpos(s,0),whatpos(g,0));
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 87132 KB Output is correct
2 Correct 11 ms 87132 KB Output is correct
3 Correct 11 ms 87164 KB Output is correct
4 Correct 11 ms 87132 KB Output is correct
5 Correct 11 ms 87132 KB Output is correct
6 Correct 11 ms 87180 KB Output is correct
7 Correct 12 ms 87132 KB Output is correct
8 Correct 14 ms 87188 KB Output is correct
9 Correct 13 ms 87132 KB Output is correct
10 Correct 11 ms 87132 KB Output is correct
11 Correct 13 ms 87172 KB Output is correct
12 Correct 12 ms 87132 KB Output is correct
13 Correct 12 ms 87132 KB Output is correct
14 Correct 12 ms 87132 KB Output is correct
15 Correct 11 ms 87132 KB Output is correct
16 Correct 11 ms 87128 KB Output is correct
17 Correct 11 ms 87128 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 87132 KB Output is correct
2 Correct 11 ms 87208 KB Output is correct
3 Correct 500 ms 144560 KB Output is correct
4 Correct 368 ms 142916 KB Output is correct
5 Correct 227 ms 129160 KB Output is correct
6 Correct 233 ms 127132 KB Output is correct
7 Correct 256 ms 129216 KB Output is correct
8 Correct 516 ms 147868 KB Output is correct
9 Correct 312 ms 139888 KB Output is correct
10 Correct 380 ms 144684 KB Output is correct
11 Correct 307 ms 133128 KB Output is correct
12 Correct 146 ms 116928 KB Output is correct
13 Correct 373 ms 145816 KB Output is correct
14 Correct 197 ms 118792 KB Output is correct
15 Correct 203 ms 118644 KB Output is correct
16 Correct 183 ms 120008 KB Output is correct
17 Correct 181 ms 118404 KB Output is correct
18 Correct 461 ms 127684 KB Output is correct
19 Correct 17 ms 88692 KB Output is correct
20 Correct 65 ms 102636 KB Output is correct
21 Correct 162 ms 118336 KB Output is correct
22 Correct 136 ms 116156 KB Output is correct
23 Correct 353 ms 127424 KB Output is correct
24 Correct 172 ms 117984 KB Output is correct
25 Correct 174 ms 118260 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 99012 KB Output is correct
2 Correct 669 ms 157376 KB Output is correct
3 Correct 709 ms 157632 KB Output is correct
4 Correct 565 ms 156952 KB Output is correct
5 Correct 619 ms 159104 KB Output is correct
6 Correct 620 ms 154400 KB Output is correct
7 Correct 239 ms 122344 KB Output is correct
8 Correct 216 ms 116932 KB Output is correct
9 Correct 618 ms 149140 KB Output is correct
10 Correct 327 ms 121872 KB Output is correct
11 Correct 17 ms 88984 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 99012 KB Output is correct
2 Correct 669 ms 157376 KB Output is correct
3 Correct 709 ms 157632 KB Output is correct
4 Correct 565 ms 156952 KB Output is correct
5 Correct 619 ms 159104 KB Output is correct
6 Correct 620 ms 154400 KB Output is correct
7 Correct 239 ms 122344 KB Output is correct
8 Correct 216 ms 116932 KB Output is correct
9 Correct 618 ms 149140 KB Output is correct
10 Correct 327 ms 121872 KB Output is correct
11 Correct 17 ms 88984 KB Output is correct
12 Correct 723 ms 157500 KB Output is correct
13 Correct 467 ms 155032 KB Output is correct
14 Correct 695 ms 158888 KB Output is correct
15 Correct 433 ms 147396 KB Output is correct
16 Correct 418 ms 143808 KB Output is correct
17 Correct 484 ms 155588 KB Output is correct
18 Correct 412 ms 147392 KB Output is correct
19 Correct 398 ms 143812 KB Output is correct
20 Correct 260 ms 121540 KB Output is correct
21 Correct 34 ms 91260 KB Output is correct
22 Correct 373 ms 141752 KB Output is correct
23 Correct 318 ms 138948 KB Output is correct
24 Correct 245 ms 124608 KB Output is correct
25 Correct 319 ms 134084 KB Output is correct
26 Correct 151 ms 115648 KB Output is correct
27 Correct 744 ms 158704 KB Output is correct
28 Correct 528 ms 154548 KB Output is correct
29 Correct 679 ms 153024 KB Output is correct
30 Correct 239 ms 122592 KB Output is correct
31 Correct 649 ms 149188 KB Output is correct
32 Correct 218 ms 120044 KB Output is correct
33 Correct 252 ms 118972 KB Output is correct
34 Correct 337 ms 124056 KB Output is correct
35 Correct 268 ms 126688 KB Output is correct
36 Correct 200 ms 121056 KB Output is correct
37 Correct 174 ms 118316 KB Output is correct
38 Correct 156 ms 116164 KB Output is correct
39 Correct 346 ms 127424 KB Output is correct
40 Correct 152 ms 117984 KB Output is correct
41 Correct 158 ms 118188 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 87132 KB Output is correct
2 Correct 11 ms 87132 KB Output is correct
3 Correct 11 ms 87164 KB Output is correct
4 Correct 11 ms 87132 KB Output is correct
5 Correct 11 ms 87132 KB Output is correct
6 Correct 11 ms 87180 KB Output is correct
7 Correct 12 ms 87132 KB Output is correct
8 Correct 14 ms 87188 KB Output is correct
9 Correct 13 ms 87132 KB Output is correct
10 Correct 11 ms 87132 KB Output is correct
11 Correct 13 ms 87172 KB Output is correct
12 Correct 12 ms 87132 KB Output is correct
13 Correct 12 ms 87132 KB Output is correct
14 Correct 12 ms 87132 KB Output is correct
15 Correct 11 ms 87132 KB Output is correct
16 Correct 11 ms 87128 KB Output is correct
17 Correct 11 ms 87128 KB Output is correct
18 Correct 11 ms 87132 KB Output is correct
19 Correct 11 ms 87208 KB Output is correct
20 Correct 500 ms 144560 KB Output is correct
21 Correct 368 ms 142916 KB Output is correct
22 Correct 227 ms 129160 KB Output is correct
23 Correct 233 ms 127132 KB Output is correct
24 Correct 256 ms 129216 KB Output is correct
25 Correct 516 ms 147868 KB Output is correct
26 Correct 312 ms 139888 KB Output is correct
27 Correct 380 ms 144684 KB Output is correct
28 Correct 307 ms 133128 KB Output is correct
29 Correct 146 ms 116928 KB Output is correct
30 Correct 373 ms 145816 KB Output is correct
31 Correct 197 ms 118792 KB Output is correct
32 Correct 203 ms 118644 KB Output is correct
33 Correct 183 ms 120008 KB Output is correct
34 Correct 181 ms 118404 KB Output is correct
35 Correct 461 ms 127684 KB Output is correct
36 Correct 17 ms 88692 KB Output is correct
37 Correct 65 ms 102636 KB Output is correct
38 Correct 162 ms 118336 KB Output is correct
39 Correct 136 ms 116156 KB Output is correct
40 Correct 353 ms 127424 KB Output is correct
41 Correct 172 ms 117984 KB Output is correct
42 Correct 174 ms 118260 KB Output is correct
43 Correct 70 ms 99012 KB Output is correct
44 Correct 669 ms 157376 KB Output is correct
45 Correct 709 ms 157632 KB Output is correct
46 Correct 565 ms 156952 KB Output is correct
47 Correct 619 ms 159104 KB Output is correct
48 Correct 620 ms 154400 KB Output is correct
49 Correct 239 ms 122344 KB Output is correct
50 Correct 216 ms 116932 KB Output is correct
51 Correct 618 ms 149140 KB Output is correct
52 Correct 327 ms 121872 KB Output is correct
53 Correct 17 ms 88984 KB Output is correct
54 Correct 723 ms 157500 KB Output is correct
55 Correct 467 ms 155032 KB Output is correct
56 Correct 695 ms 158888 KB Output is correct
57 Correct 433 ms 147396 KB Output is correct
58 Correct 418 ms 143808 KB Output is correct
59 Correct 484 ms 155588 KB Output is correct
60 Correct 412 ms 147392 KB Output is correct
61 Correct 398 ms 143812 KB Output is correct
62 Correct 260 ms 121540 KB Output is correct
63 Correct 34 ms 91260 KB Output is correct
64 Correct 373 ms 141752 KB Output is correct
65 Correct 318 ms 138948 KB Output is correct
66 Correct 245 ms 124608 KB Output is correct
67 Correct 319 ms 134084 KB Output is correct
68 Correct 151 ms 115648 KB Output is correct
69 Correct 744 ms 158704 KB Output is correct
70 Correct 528 ms 154548 KB Output is correct
71 Correct 679 ms 153024 KB Output is correct
72 Correct 239 ms 122592 KB Output is correct
73 Correct 649 ms 149188 KB Output is correct
74 Correct 218 ms 120044 KB Output is correct
75 Correct 252 ms 118972 KB Output is correct
76 Correct 337 ms 124056 KB Output is correct
77 Correct 268 ms 126688 KB Output is correct
78 Correct 200 ms 121056 KB Output is correct
79 Correct 174 ms 118316 KB Output is correct
80 Correct 156 ms 116164 KB Output is correct
81 Correct 346 ms 127424 KB Output is correct
82 Correct 152 ms 117984 KB Output is correct
83 Correct 158 ms 118188 KB Output is correct
84 Correct 57 ms 96640 KB Output is correct
85 Correct 667 ms 160592 KB Output is correct
86 Correct 969 ms 178972 KB Output is correct
87 Correct 43 ms 95944 KB Output is correct
88 Correct 48 ms 95432 KB Output is correct
89 Correct 44 ms 96020 KB Output is correct
90 Correct 26 ms 90316 KB Output is correct
91 Correct 13 ms 87132 KB Output is correct
92 Correct 23 ms 89692 KB Output is correct
93 Correct 158 ms 111832 KB Output is correct
94 Correct 37 ms 91564 KB Output is correct
95 Correct 383 ms 144832 KB Output is correct
96 Correct 303 ms 139456 KB Output is correct
97 Correct 228 ms 126144 KB Output is correct
98 Correct 266 ms 134148 KB Output is correct
99 Correct 1593 ms 202404 KB Output is correct
100 Correct 565 ms 157200 KB Output is correct
101 Correct 877 ms 167864 KB Output is correct
102 Correct 236 ms 122824 KB Output is correct
103 Correct 212 ms 120052 KB Output is correct
104 Correct 217 ms 118716 KB Output is correct
105 Correct 301 ms 124212 KB Output is correct
106 Correct 259 ms 121268 KB Output is correct
107 Correct 266 ms 124328 KB Output is correct
108 Correct 35 ms 92248 KB Output is correct
109 Correct 415 ms 140516 KB Output is correct
110 Correct 483 ms 155780 KB Output is correct
111 Correct 449 ms 157972 KB Output is correct
112 Correct 265 ms 126424 KB Output is correct
113 Correct 226 ms 124156 KB Output is correct