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Submission #732118

# Submission time Handle Problem Language Result Execution time Memory
732118 2023-04-28T13:20:27 Z Trunkty Toll (BOI17_toll) C++14
100 / 100
 1367 ms 35212 KB 
#include <bits/extc++.h>
using namespace std;
typedef long long ll;
#define int ll

int k,n,m,q;
vector<vector<int>> roads[50005],rev[50005],query[200005];
int best[50005],ans[10005];
bool check[50005];

void update(int node, int l, int r, int a, int b, int ind){
    int mid = (l+r)/2;
    if(a/k<=mid and mid<=b/k){
        query[node].push_back({a,b,ind});
    }
    else if(b/k<=mid){
        update(node*2,l,mid,a,b,ind);
    }
    else{
        update(node*2+1,mid+1,r,a,b,ind);
    }
}

void walk(int node, int l, int r){
    int mid = (l+r)/2;
    if(l!=r){
        walk(node*2,l,mid);
        walk(node*2+1,mid+1,r);
    }
    int lef=l*k,rit=r*k+k-1;
    for(int i=0;i<=k-1;i++){
        for(int j=lef;j<=rit;j++){
            best[j] = 2e9;
            check[j] = false;
        }
        priority_queue<vector<int>,vector<vector<int>>,greater<vector<int>>> pq;
        best[mid*k+i] = 0;
        pq.push({0,mid*k+i});
        while(pq.size()>0){
            while(pq.size()>0 and check[pq.top()[1]]){
                pq.pop();
            }
            if(pq.size()==0){
                break;
            }
            int x = pq.top()[1];
            pq.pop();
            check[x] = true;
            for(vector<int> j:roads[x]){
                if(j[0]<=rit and best[x]+j[1]<best[j[0]]){
                    best[j[0]] = best[x]+j[1];
                    pq.push({best[j[0]],j[0]});
                }
            }
        }
        pq.push({0,mid*k+i});
        check[mid*k+i] = false;
        while(pq.size()>0){
            while(pq.size()>0 and check[pq.top()[1]]){
                pq.pop();
            }
            if(pq.size()==0){
                break;
            }
            int x = pq.top()[1];
            pq.pop();
            check[x] = true;
            for(vector<int> j:rev[x]){
                if(j[0]>=lef and best[x]+j[1]<best[j[0]]){
                    best[j[0]] = best[x]+j[1];
                    pq.push({best[j[0]],j[0]});
                }
            }
        }
        for(vector<int> j:query[node]){
            ans[j[2]] = min(ans[j[2]],best[j[0]]+best[j[1]]);
        }
    }
}

signed main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
    cin >> k >> n >> m >> q;
    for(int i=1;i<=m;i++){
        int a,b,c;
        cin >> a >> b >> c;
        roads[a].push_back({b,c});
        rev[b].push_back({a,c});
    }
    for(int i=1;i<=q;i++){
        int a,b;
        cin >> a >> b;
        update(1,0,n/k,a,b,i);
        ans[i] = 2e9;
    }
    walk(1,0,n/k);
    for(int i=1;i<=q;i++){
        if(ans[i]==2e9){
            cout << -1 << "\n";
        }
        else{
            cout << ans[i] << "\n";
        }
    }
	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 143 ms 14796 KB Output is correct
2 Correct 4 ms 7320 KB Output is correct
3 Correct 4 ms 7364 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 5 ms 7580 KB Output is correct
6 Correct 5 ms 7508 KB Output is correct
7 Correct 6 ms 7576 KB Output is correct
8 Correct 103 ms 14708 KB Output is correct
9 Correct 82 ms 14488 KB Output is correct
10 Correct 21 ms 8532 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 372 ms 20388 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 5 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7376 KB Output is correct
6 Correct 6 ms 7380 KB Output is correct
7 Correct 9 ms 8312 KB Output is correct
8 Correct 11 ms 8404 KB Output is correct
9 Correct 100 ms 15656 KB Output is correct
10 Correct 729 ms 28808 KB Output is correct
11 Correct 410 ms 22748 KB Output is correct
12 Correct 205 ms 19452 KB Output is correct
13 Correct 1123 ms 34084 KB Output is correct
14 Correct 444 ms 21768 KB Output is correct
15 Correct 509 ms 18608 KB Output is correct
16 Correct 483 ms 18676 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 4 ms 7376 KB Output is correct
4 Correct 4 ms 7304 KB Output is correct
5 Correct 5 ms 7380 KB Output is correct
6 Correct 5 ms 7508 KB Output is correct
7 Correct 8 ms 7608 KB Output is correct
8 Correct 19 ms 8148 KB Output is correct
9 Correct 17 ms 7892 KB Output is correct
10 Correct 89 ms 14772 KB Output is correct
11 Correct 414 ms 21144 KB Output is correct
12 Correct 751 ms 28120 KB Output is correct
13 Correct 855 ms 31192 KB Output is correct
14 Correct 610 ms 24320 KB Output is correct
15 Correct 536 ms 18452 KB Output is correct
16 Correct 481 ms 18576 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 4 ms 7376 KB Output is correct
4 Correct 4 ms 7304 KB Output is correct
5 Correct 5 ms 7380 KB Output is correct
6 Correct 5 ms 7508 KB Output is correct
7 Correct 8 ms 7608 KB Output is correct
8 Correct 19 ms 8148 KB Output is correct
9 Correct 17 ms 7892 KB Output is correct
10 Correct 89 ms 14772 KB Output is correct
11 Correct 414 ms 21144 KB Output is correct
12 Correct 751 ms 28120 KB Output is correct
13 Correct 855 ms 31192 KB Output is correct
14 Correct 610 ms 24320 KB Output is correct
15 Correct 536 ms 18452 KB Output is correct
16 Correct 481 ms 18576 KB Output is correct
17 Correct 428 ms 21488 KB Output is correct
18 Correct 4 ms 7376 KB Output is correct
19 Correct 4 ms 7352 KB Output is correct
20 Correct 5 ms 7380 KB Output is correct
21 Correct 4 ms 7380 KB Output is correct
22 Correct 4 ms 7380 KB Output is correct
23 Correct 6 ms 7764 KB Output is correct
24 Correct 10 ms 7892 KB Output is correct
25 Correct 19 ms 8276 KB Output is correct
26 Correct 15 ms 8020 KB Output is correct
27 Correct 103 ms 15004 KB Output is correct
28 Correct 725 ms 28504 KB Output is correct
29 Correct 842 ms 31340 KB Output is correct
30 Correct 662 ms 24644 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 143 ms 14796 KB Output is correct
2 Correct 4 ms 7320 KB Output is correct
3 Correct 4 ms 7364 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 5 ms 7580 KB Output is correct
6 Correct 5 ms 7508 KB Output is correct
7 Correct 6 ms 7576 KB Output is correct
8 Correct 103 ms 14708 KB Output is correct
9 Correct 82 ms 14488 KB Output is correct
10 Correct 21 ms 8532 KB Output is correct
11 Correct 372 ms 20388 KB Output is correct
12 Correct 4 ms 7252 KB Output is correct
13 Correct 5 ms 7380 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
15 Correct 4 ms 7376 KB Output is correct
16 Correct 6 ms 7380 KB Output is correct
17 Correct 9 ms 8312 KB Output is correct
18 Correct 11 ms 8404 KB Output is correct
19 Correct 100 ms 15656 KB Output is correct
20 Correct 729 ms 28808 KB Output is correct
21 Correct 410 ms 22748 KB Output is correct
22 Correct 205 ms 19452 KB Output is correct
23 Correct 1123 ms 34084 KB Output is correct
24 Correct 444 ms 21768 KB Output is correct
25 Correct 509 ms 18608 KB Output is correct
26 Correct 483 ms 18676 KB Output is correct
27 Correct 5 ms 7380 KB Output is correct
28 Correct 4 ms 7380 KB Output is correct
29 Correct 4 ms 7376 KB Output is correct
30 Correct 4 ms 7304 KB Output is correct
31 Correct 5 ms 7380 KB Output is correct
32 Correct 5 ms 7508 KB Output is correct
33 Correct 8 ms 7608 KB Output is correct
34 Correct 19 ms 8148 KB Output is correct
35 Correct 17 ms 7892 KB Output is correct
36 Correct 89 ms 14772 KB Output is correct
37 Correct 414 ms 21144 KB Output is correct
38 Correct 751 ms 28120 KB Output is correct
39 Correct 855 ms 31192 KB Output is correct
40 Correct 610 ms 24320 KB Output is correct
41 Correct 536 ms 18452 KB Output is correct
42 Correct 481 ms 18576 KB Output is correct
43 Correct 428 ms 21488 KB Output is correct
44 Correct 4 ms 7376 KB Output is correct
45 Correct 4 ms 7352 KB Output is correct
46 Correct 5 ms 7380 KB Output is correct
47 Correct 4 ms 7380 KB Output is correct
48 Correct 4 ms 7380 KB Output is correct
49 Correct 6 ms 7764 KB Output is correct
50 Correct 10 ms 7892 KB Output is correct
51 Correct 19 ms 8276 KB Output is correct
52 Correct 15 ms 8020 KB Output is correct
53 Correct 103 ms 15004 KB Output is correct
54 Correct 725 ms 28504 KB Output is correct
55 Correct 842 ms 31340 KB Output is correct
56 Correct 662 ms 24644 KB Output is correct
57 Correct 1367 ms 35212 KB Output is correct
58 Correct 94 ms 15784 KB Output is correct
59 Correct 407 ms 22948 KB Output is correct