結果
問題 | No.200 カードファイト! |
ユーザー | fumofumofuni |
提出日時 | 2021-04-08 22:26:44 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 3 ms / 2,000 ms |
コード長 | 6,641 bytes |
コンパイル時間 | 2,674 ms |
コンパイル使用メモリ | 227,116 KB |
実行使用メモリ | 6,820 KB |
最終ジャッジ日時 | 2024-10-15 09:02:10 |
合計ジャッジ時間 | 3,410 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge4 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 3 ms
6,820 KB |
testcase_01 | AC | 3 ms
6,816 KB |
testcase_02 | AC | 1 ms
6,816 KB |
testcase_03 | AC | 2 ms
6,816 KB |
testcase_04 | AC | 2 ms
6,820 KB |
testcase_05 | AC | 2 ms
6,820 KB |
testcase_06 | AC | 3 ms
6,816 KB |
testcase_07 | AC | 2 ms
6,816 KB |
testcase_08 | AC | 2 ms
6,820 KB |
testcase_09 | AC | 2 ms
6,820 KB |
testcase_10 | AC | 3 ms
6,816 KB |
testcase_11 | AC | 2 ms
6,816 KB |
testcase_12 | AC | 2 ms
6,816 KB |
testcase_13 | AC | 2 ms
6,816 KB |
testcase_14 | AC | 2 ms
6,816 KB |
testcase_15 | AC | 2 ms
6,820 KB |
testcase_16 | AC | 2 ms
6,820 KB |
testcase_17 | AC | 2 ms
6,816 KB |
testcase_18 | AC | 2 ms
6,816 KB |
testcase_19 | AC | 2 ms
6,816 KB |
testcase_20 | AC | 3 ms
6,816 KB |
testcase_21 | AC | 2 ms
6,816 KB |
testcase_22 | AC | 2 ms
6,820 KB |
testcase_23 | AC | 2 ms
6,820 KB |
testcase_24 | AC | 2 ms
6,816 KB |
testcase_25 | AC | 2 ms
6,816 KB |
testcase_26 | AC | 2 ms
6,820 KB |
testcase_27 | AC | 2 ms
6,820 KB |
testcase_28 | AC | 3 ms
6,820 KB |
ソースコード
#include<bits/stdc++.h> using namespace std; #define rep(i,n) for(ll i=0;i<n;i++) #define repl(i,l,r) for(ll i=(l);i<(r);i++) #define per(i,n) for(ll i=(n)-1;i>=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue<x,vector<x>,greater<x>> #define all(x) (x).begin(),(x).end() #define CST(x) cout<<fixed<<setprecision(x) #define rev(x) reverse(x); using ll=long long; using vl=vector<ll>; using vvl=vector<vector<ll>>; using pl=pair<ll,ll>; using vpl=vector<pl>; using vvpl=vector<vpl>; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e18; const ll dy[8]={1,0,-1,0,1,1,-1,-1}; const ll dx[8]={0,1,0,-1,1,-1,1,-1}; template <typename T> inline bool chmax(T &a, T b) { return ((a < b) ? (a = b, true) : (false)); } template <typename T> inline bool chmin(T &a, T b) { return ((a > b) ? (a = b, true) : (false)); } template <class Cap, class Cost> struct MinCostFlow { public: MinCostFlow() {} MinCostFlow(int n) : _n(n), g(n) {} int add_edge(int from, int to, Cap cap, Cost cost) { assert(0 <= from && from < _n); assert(0 <= to && to < _n); int m = int(pos.size()); pos.push_back({from, int(g[from].size())}); g[from].push_back(_edge{to, int(g[to].size()), cap, cost}); g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost}); return m; } struct edge { int from, to; Cap cap, flow; Cost cost; }; edge get_edge(int i) { int m = int(pos.size()); assert(0 <= i && i < m); auto _e = g[pos[i].first][pos[i].second]; auto _re = g[_e.to][_e.rev]; return edge{ pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost, }; } std::vector<edge> edges() { int m = int(pos.size()); std::vector<edge> result(m); for (int i = 0; i < m; i++) { result[i] = get_edge(i); } return result; } std::pair<Cap, Cost> flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); } std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) { return slope(s, t, flow_limit).back(); } std::vector<std::pair<Cap, Cost>> slope(int s, int t) { return slope(s, t, std::numeric_limits<Cap>::max()); } std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) { assert(0 <= s && s < _n); assert(0 <= t && t < _n); assert(s != t); // variants (C = maxcost): // -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0 // reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge std::vector<Cost> dual(_n, 0), dist(_n); std::vector<int> pv(_n), pe(_n); std::vector<bool> vis(_n); auto dual_ref = [&]() { std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max()); std::fill(pv.begin(), pv.end(), -1); std::fill(pe.begin(), pe.end(), -1); std::fill(vis.begin(), vis.end(), false); struct Q { Cost key; int to; bool operator<(Q r) const { return key > r.key; } }; std::priority_queue<Q> que; dist[s] = 0; que.push(Q{0, s}); while (!que.empty()) { int v = que.top().to; que.pop(); if (vis[v]) continue; vis[v] = true; if (v == t) break; // dist[v] = shortest(s, v) + dual[s] - dual[v] // dist[v] >= 0 (all reduced cost are positive) // dist[v] <= (n-1)C for (int i = 0; i < int(g[v].size()); i++) { auto e = g[v][i]; if (vis[e.to] || !e.cap) continue; // |-dual[e.to] + dual[v]| <= (n-1)C // cost <= C - -(n-1)C + 0 = nC Cost cost = e.cost - dual[e.to] + dual[v]; if (dist[e.to] - dist[v] > cost) { dist[e.to] = dist[v] + cost; pv[e.to] = v; pe[e.to] = i; que.push(Q{dist[e.to], e.to}); } } } if (!vis[t]) { return false; } for (int v = 0; v < _n; v++) { if (!vis[v]) continue; // dual[v] = dual[v] - dist[t] + dist[v] // = dual[v] - (shortest(s, t) + dual[s] - dual[t]) + (shortest(s, v) + dual[s] - dual[v]) // = - shortest(s, t) + dual[t] + shortest(s, v) // = shortest(s, v) - shortest(s, t) >= 0 - (n-1)C dual[v] -= dist[t] - dist[v]; } return true; }; Cap flow = 0; Cost cost = 0, prev_cost = -1; std::vector<std::pair<Cap, Cost>> result; result.push_back({flow, cost}); while (flow < flow_limit) { if (!dual_ref()) break; Cap c = flow_limit - flow; for (int v = t; v != s; v = pv[v]) { c = std::min(c, g[pv[v]][pe[v]].cap); } for (int v = t; v != s; v = pv[v]) { auto& e = g[pv[v]][pe[v]]; e.cap -= c; g[v][e.rev].cap += c; } Cost d = -dual[s]; flow += c; cost += c * d; if (prev_cost == d) { result.pop_back(); } result.push_back({flow, cost}); prev_cost = cost; } return result; } private: int _n; struct _edge { int to, rev; Cap cap; Cost cost; }; std::vector<std::pair<int, int>> pos; std::vector<std::vector<_edge>> g; }; int main(){ ll n;cin >> n; ll x;cin >> x;vl v(x);rep(i,x)cin >> v[i]; ll y;cin >> y;vl w(y);rep(i,y)cin >> w[i]; sort(all(v));rev(all(v));sort(all(w)); MinCostFlow<ll,ll> mcf(n*2+2); ll s=n*2,t=s+1; rep(i,n)mcf.add_edge(s,i,1,inf); rep(i,n)mcf.add_edge(i+n,t,1,inf); rep(i,n){ ll left=i/x*x,right=left+x-1; ll dl=left/y,dr=right/y; dl*=y;dr=dr*y+y-1; rep(j,n){ if(dl<=j&&j<=dr){ ll cost=inf;if(v[i%x]>w[j%y])cost--; mcf.add_edge(i,j+n,1,cost); } } } auto ans=mcf.flow(s,t); //cout << ans.fi <<" " << ans.se <<endl; ll base=n*inf*3; cout << base-ans.se <<endl; }