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Submission #1041332

# Submission time Handle Problem Language Result Execution time Memory
1041332 2024-08-01T22:00:03 Z Math4Life2020 Jakarta Skyscrapers (APIO15_skyscraper) C++17
100 / 100
 42 ms 7644 KB 
// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>
using namespace std;
using ll = long long; using pii = pair<ll,ll>;

int main() {
	ll N,M; cin >> N >> M;
    //ll K = 5*floor(sqrt(N+0.001)); //MODIFY
    ll K = 10;
    ll B[M],P[M];
    ll val[N];
    ll val2[K][N];
    bool found[N];
    bool found2[K][N];
    vector<pii> doges[N];
    for (ll i=0;i<M;i++) {
        //val[i]=1e18;
        cin >> B[i] >> P[i];
        doges[B[i]].push_back({i,P[i]});
    }
    for (ll i=0;i<N;i++) {
        for (ll k=0;k<K;k++) {
            val2[k][i]=1e18;
            found2[k][i]=0;
        }
        val[i]=1e18;
        found[i]=0;
    }
    val[B[0]]=0;
    priority_queue<pair<ll,ll>> PQ; //-val, position
    priority_queue<array<ll,3>> PQ2; //-val, position, k
    PQ.push({0,B[0]});
    /*while(1) {
        ll mv = 1e17; ll ctr = -1;
        for (ll i=0;i<N;i++) {
            if (val[i]<mv && !found[i]) {
                mv = val[i]; ctr = i;
            }
        }
        if (ctr==-1) {
            cout << "-1"; exit(0);
        } else if (ctr==B[1]) {
            cout << val[B[1]]; exit(0);
        } else {
            for (pii x0: doges[ctr]) {
                ll i = x0.first;
                for (ll t=(-(B[i]/P[i]+2));t<(((N-B[i])/P[i])+2);t++) {
                    if ((B[i]+t*P[i])>=0 && (B[i]+t*P[i])<N) {
                        val[(B[i]+t*P[i])]=min(val[(B[i]+t*P[i])],mv+(ll)abs(t));
                    }
                }
            }
        }
        found[ctr]=1;
    }*/
    while(1) {
        ll mv = 1e17; ll ctr = -1;
        ll lpop = -1;
        while (!PQ.empty()) {
            pii q0 = PQ.top(); ll v = -q0.first; ll x = q0.second;
            if (!found[x]) {
                ctr = x; mv = v; lpop = 0;
                break;
            } else {
                PQ.pop();
            }
        }
        while (!PQ2.empty()) {
            array<ll,3> a0 = PQ2.top(); ll v = -a0[0]; ll x = a0[1]; ll k = a0[2];
            //cout << "process2: "<<v<<", "<<x<<", "<<k<<"\n";
            if (v>=mv) {
                break;
            }
            if (!found2[k][x]) {
                found2[k][x]=1;
                if (((x-k)>=0)&&(val2[k][x-k]>(1+val2[k][x]))) {
                    val2[k][x-k]=1+val2[k][x];
                    PQ2.push({-val2[k][x-k],(x-k),k});
                }
                if (((x+k)<N)&&(val2[k][x+k]>(1+val2[k][x]))) {
                    val2[k][x+k]=1+val2[k][x];
                    PQ2.push({-val2[k][x+k],(x+k),k});
                }
                if (!found[x]) {
                    if (val2[k][x]<mv) {
                        mv = val2[k][x]; ctr = x; lpop = 1;
                    }
                    break;
                } else {
                    PQ2.pop();
                }
            } else {
                PQ2.pop();
            }
        }
        //cout << "mv,ctr,lpop="<<mv<<","<<ctr<<","<<lpop<<"\n";
        /*for (ll k=0;k<K;k++) {
            while (!v2q[k].empty()) {
                ll x = v2q[k].top();
                if (!found2[k][x] && !found[x]) {
                    if (val2[k][x]<mv) {
                        mv = val2[k][x]; ctr = x; lpop = k;
                    }
                    break;
                } else if (!found2[k][x]) {
                    found2[k][x]=1;
                    if (((x-k)>=0)&&(val2[k][x-k]>(1+val2[k][x]))) {
                        val2[k][x-k]=1+val2[k][x];
                        v2q[k].push(x-k);
                    }
                    if (((x+k)<N)&&(val2[k][x+k]>(1+val2[k][x]))) {
                        val2[k][x+k]=1+val2[k][x];
                        v2q[k].push(x+k);
                    }
                }
            }
        }*/
        if (lpop==-1) {
            cout << "-1"; exit(0);
        } else if (ctr==B[1]) {
            //cout << val[B[1]]; exit(0);
            ll ans = val[B[1]];
            for (ll k=0;k<K;k++) {
                ans = min(ans,val2[k][B[1]]);
            }
            cout << ans; exit(0);
        } else {
            if (lpop) {
                PQ2.pop();
            } else {
                PQ.pop();
            }
            for (pii x0: doges[ctr]) {
                ll i = x0.first;
                if (P[i]>=K) {
                    for (ll t=(-(B[i]/P[i]+2));t<(((N-B[i])/P[i])+2);t++) {
                        if ((B[i]+t*P[i])>=0 && (B[i]+t*P[i])<N) {
                            if ((mv+(ll)abs(t))<val[(B[i]+t*P[i])]) {
                                val[(B[i]+t*P[i])]=mv+(ll)abs(t);
                                PQ.push({-val[(B[i]+t*P[i])],(B[i]+t*P[i])});
                            }
                        }
                    }
                } else {
                    val2[P[i]][B[i]]=mv;
                    PQ2.push({-mv,B[i],P[i]});
                }
            }
        }
        found[ctr]=1;
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 860 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 2 ms 860 KB Output is correct
34 Correct 2 ms 860 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 600 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 860 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 2 ms 860 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 8 ms 1628 KB Output is correct
36 Correct 1 ms 636 KB Output is correct
37 Correct 6 ms 1628 KB Output is correct
38 Correct 9 ms 2140 KB Output is correct
39 Correct 8 ms 1984 KB Output is correct
40 Correct 8 ms 1884 KB Output is correct
41 Correct 10 ms 1884 KB Output is correct
42 Correct 10 ms 1752 KB Output is correct
43 Correct 8 ms 1752 KB Output is correct
44 Correct 11 ms 2688 KB Output is correct
45 Correct 11 ms 1884 KB Output is correct
46 Correct 10 ms 2024 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 860 KB Output is correct
30 Correct 1 ms 608 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 2 ms 860 KB Output is correct
34 Correct 2 ms 860 KB Output is correct
35 Correct 7 ms 1652 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 6 ms 1628 KB Output is correct
38 Correct 8 ms 1968 KB Output is correct
39 Correct 8 ms 1984 KB Output is correct
40 Correct 8 ms 1888 KB Output is correct
41 Correct 9 ms 2028 KB Output is correct
42 Correct 6 ms 1752 KB Output is correct
43 Correct 6 ms 1752 KB Output is correct
44 Correct 9 ms 2676 KB Output is correct
45 Correct 9 ms 1884 KB Output is correct
46 Correct 8 ms 1904 KB Output is correct
47 Correct 11 ms 3564 KB Output is correct
48 Correct 8 ms 3932 KB Output is correct
49 Correct 8 ms 4188 KB Output is correct
50 Correct 6 ms 4444 KB Output is correct
51 Correct 22 ms 6348 KB Output is correct
52 Correct 16 ms 6356 KB Output is correct
53 Correct 11 ms 5136 KB Output is correct
54 Correct 3 ms 3932 KB Output is correct
55 Correct 3 ms 4032 KB Output is correct
56 Correct 12 ms 5212 KB Output is correct
57 Correct 3 ms 4828 KB Output is correct
58 Correct 12 ms 6388 KB Output is correct
59 Correct 12 ms 5336 KB Output is correct
60 Correct 10 ms 5320 KB Output is correct
61 Correct 13 ms 5336 KB Output is correct
62 Correct 17 ms 5776 KB Output is correct
63 Correct 23 ms 6872 KB Output is correct
64 Correct 22 ms 6664 KB Output is correct
65 Correct 27 ms 7640 KB Output is correct
66 Correct 42 ms 7644 KB Output is correct
67 Correct 31 ms 7640 KB Output is correct