Submission #441517

#TimeUsernameProblemLanguageResultExecution timeMemory
441517abc864197532Alternating Current (BOI18_alternating)C++17
0 / 100
3128 ms806968 KiB
#include <bits/stdc++.h> using namespace std; #define lli long long int #define X first #define Y second #define pb push_back #define eb emplace_back #define mp make_pair #define pii pair<int, int> #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define test(args...) abc("[" + string(#args) + "]", args) void abc() {cerr << endl;} template <typename T, typename ...U> void abc(T a, U ...b) { cerr << a << ' ', abc(b...); } template <typename T> void printv(T l, T r) { while (l != r) cout << *l << " \n"[++l == r]; } const int mod = 1e9 + 7, N = 100000; int main () { srand(time(NULL)); ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; vector <pii> a(m); vector <int> seg[n]; for (int i = 0, l, r; i < m; ++i) { cin >> a[i].X >> a[i].Y, --a[i].X; tie(l, r) = a[i]; if (l < r) { for (int j = l; j < r; ++j) seg[j].pb(i); } else { for (int j = l; j < n; ++j) seg[j].pb(i); for (int j = 0; j < r; ++j) seg[j].pb(i); } } vector <vector <int>> adj(m); for (int i = 0; i < n; ++i) { if (seg[i].size() < 2) return cout << "impossible\n", 0; if (seg[i].size() == 2) adj[seg[i][0]].pb(seg[i][1]), adj[seg[i][1]].pb(seg[i][0]); } vector <int> ans(m, -1); bool odd_cycle = false; function<void(int)> dfs = [&](int v) { for (int u : adj[v]) { if (ans[u] == -1) { ans[u] = ans[v] ^ 1; dfs(u); } else if (ans[v] == ans[u]) { odd_cycle = true; } } }; for (int i = 0; i < m; ++i) if (ans[i] == -1 && !adj[i].empty()) { ans[i] = 0; dfs(i); } if (odd_cycle) return cout << "impossible\n", 0; for (int i = 0; i < n; ++i) { int ok = 0; for (int j : seg[i]) { if (ans[j] == -1) continue; ok |= 1 << ans[j]; } if (ok == 0) { ans[seg[i][0]] = 0; ans[seg[i][1]] = 1; } else if (ok != 3) { for (int j : seg[i]) { if (ans[j] == -1) continue; ans[j] = ok == 2 ? 1 : 0; break; } } } for (int i : ans) { cout << (i == -1 ? 0 : i); } cout << endl; }
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