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Submission #1000342

# Submission time Handle Problem Language Result Execution time Memory
1000342 2024-06-17T09:40:30 Z underwaterkillerwhale Swapping Cities (APIO20_swap) C++17
17 / 100
 250 ms 524288 KB 
#include "swap.h"

#include <bits/stdc++.h>
#define se              second
#define fs              first
#define mp              make_pair
#define pb              push_back
#define ll              long long
#define ii              pair<ll,ll>
#define ld              long double
#define SZ(v)           (int)v.size()
#define ALL(v)          v.begin(), v.end()
#define bit(msk, i)     ((msk >> i) & 1)
#define iter(id, v)     for(auto id : v)
#define rep(i,m,n)      for(int i=(m); i<=(n); i++)
#define reb(i,m,n)      for(int i=(m); i>=(n); i--)

using namespace std;

mt19937_64 rd(chrono :: steady_clock :: now().time_since_epoch().count());
ll Rand(ll l, ll r) { return uniform_int_distribution<ll> (l, r)(rd); }

const int N  = 1e5 + 7;
const int Mod = 1e9 +7;
const int szBL = 400;
const int INF = 1e9;
const int BASE = 137;

struct Edge {
    int u, v, w;
};

vector<int> weights;
struct Data {
    int labu, labv, szu, szv;
    bool islineu, islinev;
    pair<int,int> lnu, lnv;
};

struct Disjoin_set {
    int lab[N], sz[N];
    bool isline[N];
    pair<int,int> ln[N];

    stack<Data> op;
    void init (int n) {
        rep (i, 1, n) {
            lab[i] = i;
            sz[i] = 1;
            isline[i] = 1;
            ln[i] = {i, i};
        }
    }

    int Find (int u) {
        return u == lab[u] ? u : Find(lab[u]);
    }

    void Join (int u, int v){
        int uu = u, vv = v;
        u = Find(u);
        v = Find(v);
        op.push({u,v, sz[u], sz[v], isline[u], isline[v], ln[u], ln[v]});
        if (u == v) {
            isline[u] = 0;
            return;
        }
        if (sz[u] < sz[v]) swap (u, v), swap (uu, vv);
        if (min(isline[v], isline[u]) == 0) {
            isline[u] = isline[v] = 0;
        }
        else {
            if ((uu != ln[u].fs && uu != ln[u].se) || (vv != ln[v].fs && vv != ln[v].se)) {
                isline[u] = isline[v] = 0;
            }
            else {
                static vector<int> vec;
                if (ln[u].fs == ln[u].se) {
                    if (ln[v].fs != vv) ln[u].se = ln[v].fs;
                    else ln[u].se = ln[v].se;
                }
                else if (ln[v].fs == ln[v].se) {
                    if (ln[u].fs != uu) ln[u].se = ln[v].fs;
                    else ln[u].fs = ln[v].fs;
                }
                else {
                    vec = {ln[u].fs, ln[u].se, ln[v].fs, ln[v].se};
                    ln[u] = {-1, -1};
                    iter (&id, vec) {
                        if (id != uu && id != vv) {
                            if (ln[u].fs == -1) ln[u].fs = id;
                            else ln[u].se = id;
                        }
                    }
                }
            }
        }
        lab[v] = u;
        sz[u] += sz[v];
    }

    void roll_back() {
        Data &cur = op.top();
        op.pop();
        int u = cur.labu, v = cur.labv;
        lab[u] = cur.labu;
        sz[u] = cur.szu;
        isline[u] = cur.islineu;
        ln[u] = cur.lnu;

        lab[v] = cur.labv;
        sz[v] = cur.szv;
        isline[v] = cur.islinev;
        ln[v] = cur.lnv;

    }

    bool check (int u, int v) {
        u = Find(u);
        v = Find(v);
        if (u != v) return 0;
        return isline[u] == 0;
    }

}DSU[szBL + 2];

int n, m, Q;
vector<Edge> edges;
map<pair<int,int>, int> Ans;

///0-idxed
int getBL (int X) { return X / szBL; }
int getLf (int X) { return X * szBL; }
int getRt (int X) { return min(m, (X + 1) * szBL - 1); }

void algo() {
    sort (ALL(edges), [] (Edge A, Edge B) { return A.w < B.w; });
    rep (bl, 0, getBL(m)) {
        if (bl == 0) DSU[bl].init(n);
        else {
            DSU[bl] = DSU[bl - 1];
            stack<Data> ().swap(DSU[bl].op);
        }
        rep (i, getLf(bl), getRt(bl)) {
            DSU[bl].Join(edges[i].u, edges[i].v);
        }
    }
}

int getMinimumFuelCapacity (int X, int Y) {
    ++X, ++Y;
    reb (bl, getBL(m), 0){
        if (DSU[bl].check(X, Y) == 0) {
            if (bl == getBL(m)) return -1;
            Disjoin_set &cur = DSU[bl];
            rep (i, getLf(bl + 1), getRt(bl + 1)) {
                cur.Join(edges[i].u, edges[i].v);
                if (cur.check(X, Y)) {
                    reb (j, i, getLf(bl + 1)) cur.roll_back();
                    return edges[i].w;
                }
            }
        }
        else if (bl == 0 && DSU[bl].check(X, Y) == 1) {
            Disjoin_set &cur = DSU[bl];
            int numdel = 0;
            while (cur.check(X, Y)) ++numdel, cur.roll_back();
            rep (i, getRt(bl) - numdel + 1, getRt(bl)) {
                cur.Join(edges[i].u, edges[i].v);
            }
            return edges[getRt(bl) - numdel + 1].w;
        }
    }
    return -1;
}

void init (int _n, int _m, vector<int> _U, vector<int> _V, vector<int> _W) {
//void solution() {
    n = _n;
    m = _m;
    rep (i, 0, m  - 1) {
        int u = _U[i], v = _V[i], w = _W[i];
        ++u, ++v;
        edges.push_back({u, v, w});
    }
//    cin >> n >> m;
//    rep (i, 1, m) {
//        int u, v, w;
//        cin >> u >> v >> w;
//        ++u,++v;
//        edges.push_back({u, v, w});
//    }
    algo();
//    cin >> Q;
//    rep (i, 1, Q) {
//        int X, Y;
//        cin >> X >> Y;
//        cout << getMinimumFuelCapacity(X, Y) <<"\n";
//    }
}

//#define file(name) freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout);
//int main () {
//    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
////    file ("c");
//    int num_Test = 1;
////    cin >> num_Test;
//    while (num_Test--)
//        solution();
//}
/*
5 6
0 1 4
0 2 4
1 2 1
1 3 2
1 4 10
2 3 3
3
1 2
2 4
0 1




3 2
0 1 5
0 2 5
1
1 2

*/

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 338516 KB Output is correct
2 Correct 109 ms 337232 KB Output is correct
3 Correct 108 ms 337232 KB Output is correct
4 Correct 113 ms 337232 KB Output is correct
5 Correct 135 ms 337232 KB Output is correct
6 Correct 121 ms 337232 KB Output is correct
7 Correct 108 ms 339316 KB Output is correct
8 Correct 111 ms 339284 KB Output is correct
9 Correct 213 ms 497424 KB Output is correct
10 Runtime error 231 ms 524288 KB Execution killed with signal 9
11 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 338516 KB Output is correct
2 Correct 109 ms 337232 KB Output is correct
3 Runtime error 250 ms 524288 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 338516 KB Output is correct
2 Correct 109 ms 337232 KB Output is correct
3 Correct 108 ms 337232 KB Output is correct
4 Correct 113 ms 337232 KB Output is correct
5 Correct 135 ms 337232 KB Output is correct
6 Correct 121 ms 337232 KB Output is correct
7 Correct 108 ms 339316 KB Output is correct
8 Correct 111 ms 339284 KB Output is correct
9 Correct 112 ms 339280 KB Output is correct
10 Correct 105 ms 339452 KB Output is correct
11 Correct 110 ms 339280 KB Output is correct
12 Correct 105 ms 339408 KB Output is correct
13 Correct 104 ms 339280 KB Output is correct
14 Correct 104 ms 339348 KB Output is correct
15 Correct 105 ms 339428 KB Output is correct
16 Correct 107 ms 339280 KB Output is correct
17 Correct 105 ms 339280 KB Output is correct
18 Correct 106 ms 339420 KB Output is correct
19 Correct 109 ms 339280 KB Output is correct
20 Correct 103 ms 340308 KB Output is correct
21 Correct 109 ms 339284 KB Output is correct
22 Correct 106 ms 339280 KB Output is correct
23 Correct 104 ms 340172 KB Output is correct
24 Correct 110 ms 339324 KB Output is correct
25 Correct 104 ms 339420 KB Output is correct
26 Correct 110 ms 339508 KB Output is correct
27 Correct 111 ms 339364 KB Output is correct
28 Correct 105 ms 339284 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 339280 KB Output is correct
2 Correct 107 ms 338516 KB Output is correct
3 Correct 109 ms 337232 KB Output is correct
4 Correct 108 ms 337232 KB Output is correct
5 Correct 113 ms 337232 KB Output is correct
6 Correct 135 ms 337232 KB Output is correct
7 Correct 121 ms 337232 KB Output is correct
8 Correct 108 ms 339316 KB Output is correct
9 Correct 111 ms 339284 KB Output is correct
10 Correct 213 ms 497424 KB Output is correct
11 Runtime error 231 ms 524288 KB Execution killed with signal 9
12 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 338516 KB Output is correct
2 Correct 109 ms 337232 KB Output is correct
3 Correct 108 ms 337232 KB Output is correct
4 Correct 113 ms 337232 KB Output is correct
5 Correct 135 ms 337232 KB Output is correct
6 Correct 121 ms 337232 KB Output is correct
7 Correct 108 ms 339316 KB Output is correct
8 Correct 111 ms 339284 KB Output is correct
9 Correct 213 ms 497424 KB Output is correct
10 Runtime error 231 ms 524288 KB Execution killed with signal 9
11 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 339280 KB Output is correct
2 Correct 107 ms 338516 KB Output is correct
3 Correct 109 ms 337232 KB Output is correct
4 Correct 108 ms 337232 KB Output is correct
5 Correct 113 ms 337232 KB Output is correct
6 Correct 135 ms 337232 KB Output is correct
7 Correct 121 ms 337232 KB Output is correct
8 Correct 108 ms 339316 KB Output is correct
9 Correct 111 ms 339284 KB Output is correct
10 Correct 213 ms 497424 KB Output is correct
11 Runtime error 231 ms 524288 KB Execution killed with signal 9
12 Halted 0 ms 0 KB -