oj.uz

Submission #999954

# Submission time Handle Problem Language Result Execution time Memory
999954 2024-06-16T11:15:36 Z shmax Parachute rings (IOI12_rings) C++17
52 / 100
 4000 ms 126068 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

#pragma GCC optimize("O3")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")

using namespace std;
using namespace __gnu_pbds;
//#define int long long

#define len(x) (int) x.size()


template<typename T>
using graph = vector<vector<T>>;


template<typename T>
using vec = vector<T>;


struct DSU {
public:
    DSU() : _n(0) {}

    explicit DSU(int n) : _n(n), parent_or_size(n, -1) {}

    int unite(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        int x = leader(a), y = leader(b);
        if (x == y) return x;
        if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);
        parent_or_size[x] += parent_or_size[y];
        parent_or_size[y] = x;
        return x;
    }

    bool one(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        return leader(a) == leader(b);
    }

    int leader(int a) {
        assert(0 <= a && a < _n);
        if (parent_or_size[a] < 0) return a;
        return parent_or_size[a] = leader(parent_or_size[a]);
    }

    int size(int a) {
        assert(0 <= a && a < _n);
        return -parent_or_size[leader(a)];
    }

    std::vector<std::vector<int>> groups() {
        std::vector<int> leader_buf(_n), group_size(_n);
        for (int i = 0; i < _n; i++) {
            leader_buf[i] = leader(i);
            group_size[leader_buf[i]]++;
        }
        std::vector<std::vector<int>> result(_n);
        for (int i = 0; i < _n; i++) {
            result[i].reserve(group_size[i]);
        }
        for (int i = 0; i < _n; i++) {
            result[leader_buf[i]].push_back(i);
        }
        result.erase(
                std::remove_if(result.begin(), result.end(),
                               [&](const std::vector<int> &v) { return v.empty(); }),
                result.end());
        return result;
    }

private:
    int _n;
    // root node: -1 * component size
    // otherwise: parent
    std::vector<int> parent_or_size;
};

int n;
graph<int> g;
DSU dsu;
bool is_zero = false;
vec<int> deg;
set<pair<int, int>> deg_sorted;
int rootb3 = -1;
int cnt3 = 0;
vec<int> roots3;
vec<bool> goods3;
vec<int> neight3;
vec<int> goodneight3;
vec<DSU> dsues;
vec<DSU> neightdsues;
vec<bool> have3;

DSU dsu2;
int cycle_sz;
int cnt_cyc = 0;

void Init(int32_t N_) {
    n = N_;
//    dsu = DSU(n);
    g.resize(n);
    deg.resize(n);
    deg_sorted.clear();
    have3.resize(n);
    for (int i = 0; i < n; i++) {
        deg_sorted.insert({0, i});
    }
    dsu2 = DSU(n);
}

pair<bool, DSU> create(int v) {
    DSU d = DSU(n);
    for (int i = 0; i < n; i++) {
        if (i == v) continue;
        for (auto &j: g[i]) {
            if (j == v) continue;
            if (i < j) continue;
            if (d.one(i, j)) {
                return {false, d};
            }
            d.unite(i, j);
        }
    }
    return {true, d};
}

bool add(DSU &d, int a, int b, int v) {
    if (a == v or b == v) return true;
    if (d.one(a, b)) return false;
    d.unite(a, b);
    return true;
}

void Link(int32_t a, int32_t b) {
    if (is_zero)return;
    if (rootb3 != -1) {
        if (!add(dsu, a, b, rootb3)) {
            is_zero = true;
            return;
        }
    } else {
        for (int i = 0; i < len(roots3); i++) {
            if (!goods3[i]) continue;
            goods3[i] = add(dsues[i], a, b, roots3[i]);
        }
        if (cnt3 < 3)
            for (int i = 0; i < len(neight3); i++) {
                if (!goodneight3[i]) continue;
                goodneight3[i] = add(neightdsues[i], a, b, neight3[i]);
            }
    }
    deg_sorted.erase({deg[a], a});
    deg_sorted.erase({deg[b], b});
    g[a].push_back(b);
    g[b].push_back(a);
    deg[a]++;
    deg[b]++;
    deg_sorted.insert({deg[a], a});
    deg_sorted.insert({deg[b], b});
    if (n != 1 and deg_sorted.rbegin()->first > 3 and prev(prev(deg_sorted.end()))->first > 3) {
        is_zero = true;
    }
    if (rootb3 == -1 and deg_sorted.rbegin()->first > 3) {
        rootb3 = deg_sorted.rbegin()->second;
        for (auto &i: g[rootb3]) {
            deg_sorted.erase({deg[i], i});
            deg[i]--;
            deg_sorted.insert({deg[i], i});
        }
        if (n != 1 and prev(prev(deg_sorted.end()))->first > 2)
            is_zero = true;
        auto [f, d] = create(rootb3);
        dsu = d;
        if (!f) {
            is_zero = true;
            return;
        }
    }
    if (rootb3 == -1) {
        if (deg[a] == 3) {
            {
                cnt3++;
                roots3.push_back(a);
                auto [f, d] = create(a);
                dsues.push_back(d);
                goods3.push_back(f);
            }
            if (cnt3 < 3) {
                for (auto x: g[a]) {
                    if (have3[x] or deg[x] == 3) continue;
                    have3[x] = true;
                    neight3.push_back(x);
                    auto [f, d] = create(x);
                    neightdsues.push_back(d);
                    goodneight3.push_back(f);
                }
            }
        }
        if (deg[b] == 3) {
            {
                cnt3++;
                roots3.push_back(b);
                auto [f, d] = create(b);
                dsues.push_back(d);
                goods3.push_back(f);
            }
            if (cnt3 < 3) {
                for (auto x: g[b]) {
                    if (have3[x] or deg[x] == 3) continue;
                    have3[x] = true;
                    neight3.push_back(x);
                    auto [f, d] = create(x);
                    neightdsues.push_back(d);
                    goodneight3.push_back(f);
                }
            }
        }

        if (cnt3 > 4) {
            is_zero = true;
            return;
        }

    }
    if (roots3.empty() and rootb3 == -1) {
        if (dsu2.one(a, b)) {
            cnt_cyc++;
            cycle_sz = dsu2.size(a);
        } else {
            dsu2.unite(a, b);
        }
        if (cnt_cyc > 1) {
            is_zero = true;
        }
    }
}


int32_t CountCritical() {
    if (is_zero) return 0;
    if (n == 1) return 1;
    if (rootb3 != -1) {
        return 1;
    }
    if (!roots3.empty()) {
        auto check = [&](int v) {
            int t = 0;
            for (auto u: g[v])
                t += (deg[u] == 3);
            return t + (deg[v] == 3) == cnt3;
        };
        set<int> can;
        for (int i = 0; i < len(roots3); i++) {
            if (!goods3[i]) continue;
            if (!check(roots3[i])) continue;
            can.insert(roots3[i]);
        }
        if (cnt3 < 3)
            for (int i = 0; i < len(neight3); i++) {
                if (!goodneight3[i]) continue;
                if (!check(neight3[i])) continue;
                can.insert(neight3[i]);
            }
        return len(can);
    }
    int ans = 0;
    if (cnt_cyc == 1) {
        return cycle_sz;
    }
    if (cnt_cyc == 0) {
        return n;
    }
}

Compilation message

rings.cpp:6: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    6 | #pragma GCC optimization ("unroll-loops")
      | 
rings.cpp: In function 'int32_t CountCritical()':
rings.cpp:273:9: warning: unused variable 'ans' [-Wunused-variable]
  273 |     int ans = 0;
      |         ^~~
rings.cpp:280:1: warning: control reaches end of non-void function [-Wreturn-type]
  280 | }
      | ^

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 5 ms 1060 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 3 ms 784 KB Output is correct
6 Correct 5 ms 928 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 3 ms 860 KB Output is correct
9 Correct 6 ms 1116 KB Output is correct
10 Correct 5 ms 1096 KB Output is correct

Subtask #2
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1186 ms 57684 KB Output is correct
2 Correct 3124 ms 103632 KB Output is correct
3 Correct 396 ms 126068 KB Output is correct
4 Execution timed out 4081 ms 109988 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 5 ms 1060 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 3 ms 784 KB Output is correct
6 Correct 5 ms 928 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 3 ms 860 KB Output is correct
9 Correct 6 ms 1116 KB Output is correct
10 Correct 5 ms 1096 KB Output is correct
11 Correct 6 ms 1112 KB Output is correct
12 Correct 12 ms 1884 KB Output is correct
13 Correct 11 ms 1884 KB Output is correct
14 Correct 7 ms 1636 KB Output is correct
15 Correct 8 ms 2396 KB Output is correct
16 Correct 9 ms 1368 KB Output is correct
17 Correct 4 ms 1628 KB Output is correct
18 Correct 6 ms 3112 KB Output is correct
19 Correct 10 ms 1372 KB Output is correct
20 Correct 13 ms 1884 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 5 ms 1060 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 3 ms 784 KB Output is correct
6 Correct 5 ms 928 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 3 ms 860 KB Output is correct
9 Correct 6 ms 1116 KB Output is correct
10 Correct 5 ms 1096 KB Output is correct
11 Correct 6 ms 1112 KB Output is correct
12 Correct 12 ms 1884 KB Output is correct
13 Correct 11 ms 1884 KB Output is correct
14 Correct 7 ms 1636 KB Output is correct
15 Correct 8 ms 2396 KB Output is correct
16 Correct 9 ms 1368 KB Output is correct
17 Correct 4 ms 1628 KB Output is correct
18 Correct 6 ms 3112 KB Output is correct
19 Correct 10 ms 1372 KB Output is correct
20 Correct 13 ms 1884 KB Output is correct
21 Correct 38 ms 5304 KB Output is correct
22 Correct 65 ms 8276 KB Output is correct
23 Correct 96 ms 10320 KB Output is correct
24 Correct 97 ms 11016 KB Output is correct
25 Correct 31 ms 11092 KB Output is correct
26 Correct 92 ms 11880 KB Output is correct
27 Correct 108 ms 9296 KB Output is correct
28 Correct 32 ms 11936 KB Output is correct
29 Correct 35 ms 13636 KB Output is correct
30 Correct 172 ms 11092 KB Output is correct

Subtask #5
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 5 ms 1060 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 3 ms 784 KB Output is correct
6 Correct 5 ms 928 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 3 ms 860 KB Output is correct
9 Correct 6 ms 1116 KB Output is correct
10 Correct 5 ms 1096 KB Output is correct
11 Correct 1186 ms 57684 KB Output is correct
12 Correct 3124 ms 103632 KB Output is correct
13 Correct 396 ms 126068 KB Output is correct
14 Execution timed out 4081 ms 109988 KB Time limit exceeded
15 Halted 0 ms 0 KB -