Submission #57744

#TimeUsernameProblemLanguageResultExecution timeMemory
57744BenqKOVANICE (COI15_kovanice)C++14
100 / 100
607 ms63652 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/tree_policy.hpp> #include <ext/pb_ds/assoc_container.hpp> using namespace std; using namespace __gnu_pbds; typedef long long ll; typedef long double ld; typedef complex<ld> cd; typedef pair<int, int> pi; typedef pair<ll,ll> pl; typedef pair<ld,ld> pd; typedef vector<int> vi; typedef vector<ld> vd; typedef vector<ll> vl; typedef vector<pi> vpi; typedef vector<pl> vpl; typedef vector<cd> vcd; template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>; #define FOR(i, a, b) for (int i=a; i<(b); i++) #define F0R(i, a) for (int i=0; i<(a); i++) #define FORd(i,a,b) for (int i = (b)-1; i >= a; i--) #define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--) #define sz(x) (int)(x).size() #define mp make_pair #define pb push_back #define f first #define s second #define lb lower_bound #define ub upper_bound #define all(x) x.begin(), x.end() const int MOD = 1000000007; const ll INF = 1e18; const int MX = 300001; struct Topo { int N, in[MX], A[MX], B[MX]; vi res, adj[MX], radj[MX]; void addEdge(int x, int y) { adj[x].pb(y), in[y] ++; radj[y].pb(x); } void sort() { queue<int> todo; FOR(i,1,MX) if (in[i] == 0) todo.push(i); while (sz(todo)) { int x = todo.front(); todo.pop(); res.pb(x); for (int i: adj[x]) { in[i] --; if (!in[i]) todo.push(i); } } } void gen() { F0Rd(i,sz(res)) { for (int j: adj[res[i]]) A[res[i]] = max(A[res[i]],A[j]); A[res[i]] ++; } F0R(i,sz(res)) { for (int j: radj[res[i]]) B[res[i]] = max(B[res[i]],B[j]); B[res[i]] ++; } } }; Topo T; template<int SZ> struct DSU { int par[SZ], sz[SZ]; DSU() { F0R(i,SZ) par[i] = i, sz[i] = 1; } int get(int x) { // path compression if (par[x] != x) par[x] = get(par[x]); return par[x]; } bool unite(int x, int y) { // union-by-rank x = get(x), y = get(y); if (x == y) return 0; if (sz[x] < sz[y]) swap(x,y); sz[x] += sz[y], par[y] = x; return 1; } }; DSU<MX> D; int N,M,V; bool isDigit(char c) { return '0' <= c && c <= '9'; } vpi ed; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> N >> M >> V; F0R(i,V) { string x; cin >> x; int ind = 0; while (isDigit(x[ind])) ind ++; int a = stoi(x.substr(0,ind)); int b = stoi(x.substr(ind+1,sz(x)-ind-1)); if (x[ind] == '<') ed.pb({a,b}); else if (x[ind] == '>') ed.pb({b,a}); else D.unite(a,b); } for (auto a: ed) T.addEdge(D.get(a.f),D.get(a.s)); T.sort(); T.gen(); FOR(i,1,M+1) { int I = D.get(i); int len = T.A[I]+T.B[I]-1; if (len == N) cout << "K"<<T.B[I]; else cout << "?"; cout << "\n"; } }
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