Submission #1096432

# Submission time Handle Problem Language Result Execution time Memory
1096432 2024-10-04T12:40:06 Z Ejen Park (BOI16_park) C++17
100 / 100
279 ms 52848 KB
#include <bits/stdc++.h>
 
#define el "\n"
#define fu(i, a, b) for (int i = a; i <= b; ++i)
#define fd(i, a, b) for (int i = a; i >= b; --i)
#define ff first
#define ss second
#define all(v) (v).begin(), (v).end()
#define sz(v) (ll)(v).size()
#define mask(i) (1LL << (i))
#define bit(x, i) ((x) >> (i) & 1)
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
 
ll Rand(ll l, ll r) {
    return uniform_int_distribution<ll>(l, r) (rng);
}
 
ll last(ll msk)     {return msk & (-msk);}
ll pop_cnt(ll msk)  {return __builtin_popcountll(msk);}
ll ctz(ll msk)      {return __builtin_ctzll(msk);}
ll lg(ll msk)       {return 63 - __builtin_clzll(msk);}
 
template<class T1, class T2> bool minimize(T1 &a, T2 b) {
    return a > b ? a = b, 1 : 0;
}
 
template<class T1, class T2> bool maximize(T1 &a, T2 b) {
    return a < b ? a = b, 1 : 0;
}
 
template<class T> void print(T a) {
    for (auto x : a) cout << x << " ";
    cout << el;
}
 
template<class T> void compress(T &a) {
    sort(all(a));
    a.resize(unique(all(a)) - a.begin());
}
 
const long long N = 1e5 + 27, M = 1e5 + 27, inf = 2e18, bl = 320, base = 311, mod = 123456789, lim = 1e6;
 
struct DSU {
    ll n;
    vector<ll> lab;
 
    DSU(ll _n) {
        n = _n;
        lab.resize(n + 27, -1);
    }
 
    ll find(ll u) {
        return lab[u] < 0 ? u : lab[u] = find(lab[u]);
    }
 
    bool join(ll u, ll v) {
        u = find(u);
        v = find(v);
        if (u == v) return false;
        if (lab[u] > lab[v]) swap(u, v);
        lab[u] += lab[v];
        lab[v] = u;
        return true;
    }
 
    bool connect(ll u, ll v) {
        u = find(u);
        v = find(v);
        return u == v;
    }
};
 
struct Edge {
    ll u, v, w;
    Edge(ll _u, ll _v, ll _w) {
        u = _u, v = _v, w = _w;
    }
    bool operator < (const Edge &other) const {
        return w < other.w;
    }
};
 
ll n, q, w, h;
ll x[N], y[N], r[N];
bool ans[5][N];
pair<ll, ll> tourist[N];
vector<ll> group[5];
vector<Edge> edge;
 
ll sq(ll x) {
    return x * x;
}
 
ll dist(ll i, ll j) { 
    return sqrtl(sq(x[i] - x[j]) + sq(y[i] - y[j])) - r[i] - r[j];
}
 
signed main() {
    // freopen("bdbang.inp", "r", stdin);
    // freopen("bdbang.out", "w", stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin >> n >> q >> w >> h;
    fu(i, 1, n) cin >> x[i] >> y[i] >> r[i];
    fu(i, 1, n) {
        edge.push_back(Edge(n + 1, i, x[i] - r[i]));
        edge.push_back(Edge(n + 2, i, y[i] - r[i]));
        edge.push_back(Edge(n + 3, i, w - x[i] - r[i]));
        edge.push_back(Edge(n + 4, i, h - y[i] - r[i]));
        fu(j, i + 1, n) edge.push_back(Edge(i, j, dist(i, j)));
    }
    sort(all(edge));
    // cout << dist(1, 2);
    fu(i, 1, q) {
        cin >> tourist[i].ss >> tourist[i].ff;
        tourist[i].ss *= 2;
        group[tourist[i].ff].push_back(i);
    }
    {
        DSU dsu(n + 4);
        vector<pair<ll, ll>> a;
        for (ll id : group[1]) a.push_back(make_pair(tourist[id].ss, id));
        
        sort(all(a));
        ll j = 0;
        fu(i, 0, sz(a) - 1) {
            while (j < sz(edge) && edge[j].w < a[i].ff) {
                dsu.join(edge[j].u, edge[j].v);
                j++;
            }
            ans[1][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 3) && !dsu.connect(n + 1, n + 2) && !dsu.connect(n + 4, n + 1)) ans[4][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 2) && !dsu.connect(n + 4, n + 2) && !dsu.connect(n + 3, n + 2)) ans[2][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 2) && !dsu.connect(n + 4, n + 2) && !dsu.connect(n + 4, n + 3) && !dsu.connect(n + 1, n + 3)) ans[3][a[i].ss] = true;
        }
    }
 
    {
        DSU dsu(n + 4);
        vector<pair<ll, ll>> a;
        for (ll id : group[2]) a.push_back(make_pair(tourist[id].ss, id));
        sort(all(a));
        ll j = 0;
        fu(i, 0, sz(a) - 1) {
            while (j < sz(edge) && edge[j].w < a[i].ff) {
                dsu.join(edge[j].u, edge[j].v);
                j++;
            }  
            ans[2][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 3) && !dsu.connect(n + 4, n + 2) && !dsu.connect(n + 2, n + 3) && !dsu.connect(n + 1, n + 4)) ans[4][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 2) && !dsu.connect(n + 4, n + 2) && !dsu.connect(n + 2, n + 3)) ans[1][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 3) && !dsu.connect(n + 3, n + 2) && !dsu.connect(n + 4, n + 3)) ans[3][a[i].ss] = true;
 
        }
    }
    {
        DSU dsu(n + 4);
        vector<pair<ll, ll>> a;
        for (ll id : group[3]) a.push_back(make_pair(tourist[id].ss, id));
        sort(all(a));
        ll j = 0;
        fu(i, 0, sz(a) - 1) {
            while (j < sz(edge) && edge[j].w < a[i].ff) {
                dsu.join(edge[j].u, edge[j].v);
                j++;
            }  
            ans[3][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 2) && !dsu.connect(n + 4, n + 2) && !dsu.connect(n + 4, n + 3) && !dsu.connect(n + 1, n + 3)) ans[1][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 3) && !dsu.connect(n + 3, n + 2) && !dsu.connect(n + 4, n + 3)) ans[2][a[i].ss] = true;
            if (!dsu.connect(n + 4, n + 2) && !dsu.connect(n + 4, n + 1) && !dsu.connect(n + 4, n + 3)) ans[4][a[i].ss] = true;
 
        }
    }
    {
        DSU dsu(n + 4);
        vector<pair<ll, ll>> a;
        for (ll id : group[4]) a.push_back(make_pair(tourist[id].ss, id));
        sort(all(a));
        ll j = 0;
        fu(i, 0, sz(a) - 1) {
            while (j < sz(edge) && edge[j].w < a[i].ff) {
                dsu.join(edge[j].u, edge[j].v);
                j++;
            }  
            ans[4][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 3) && !dsu.connect(n + 1, n + 2) && !dsu.connect(n + 4, n + 1)) ans[1][a[i].ss] = true;
            if (!dsu.connect(n + 1, n + 3) && !dsu.connect(n + 4, n + 2) && !dsu.connect(n + 2, n + 3) && !dsu.connect(n + 1, n + 4)) ans[2][a[i].ss] = true;
            if (!dsu.connect(n + 4, n + 2) && !dsu.connect(n + 4, n + 1) && !dsu.connect(n + 4, n + 3)) ans[3][a[i].ss] = true;
        }
    }
    fu(i, 1, q) {
        fu(j, 1, 4) if (ans[j][i]) cout << j; 
        cout << el;
    }
 
 
}
# Verdict Execution time Memory Grader output
1 Correct 218 ms 50088 KB Output is correct
2 Correct 217 ms 49884 KB Output is correct
3 Correct 217 ms 49788 KB Output is correct
4 Correct 218 ms 49844 KB Output is correct
5 Correct 215 ms 49856 KB Output is correct
6 Correct 218 ms 49820 KB Output is correct
7 Correct 205 ms 49968 KB Output is correct
8 Correct 215 ms 49836 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 35 ms 5984 KB Output is correct
2 Correct 32 ms 6136 KB Output is correct
3 Correct 35 ms 5948 KB Output is correct
4 Correct 33 ms 6204 KB Output is correct
5 Correct 34 ms 6212 KB Output is correct
6 Correct 35 ms 6200 KB Output is correct
7 Correct 31 ms 5280 KB Output is correct
8 Correct 31 ms 5336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 218 ms 50088 KB Output is correct
2 Correct 217 ms 49884 KB Output is correct
3 Correct 217 ms 49788 KB Output is correct
4 Correct 218 ms 49844 KB Output is correct
5 Correct 215 ms 49856 KB Output is correct
6 Correct 218 ms 49820 KB Output is correct
7 Correct 205 ms 49968 KB Output is correct
8 Correct 215 ms 49836 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 35 ms 5984 KB Output is correct
12 Correct 32 ms 6136 KB Output is correct
13 Correct 35 ms 5948 KB Output is correct
14 Correct 33 ms 6204 KB Output is correct
15 Correct 34 ms 6212 KB Output is correct
16 Correct 35 ms 6200 KB Output is correct
17 Correct 31 ms 5280 KB Output is correct
18 Correct 31 ms 5336 KB Output is correct
19 Correct 265 ms 52708 KB Output is correct
20 Correct 266 ms 52816 KB Output is correct
21 Correct 263 ms 52800 KB Output is correct
22 Correct 266 ms 52816 KB Output is correct
23 Correct 263 ms 52816 KB Output is correct
24 Correct 279 ms 52848 KB Output is correct