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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#107889 | #1825. The King's Guards | BalintR# | WA | 361ms | 8756kb | C++20 | 5.2kb | 2023-05-23 05:27:02 | 2023-05-23 05:27:06 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef unsigned uint;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii> vpii;
typedef complex<double> cpx;
template <typename T> using minPq = priority_queue<T, vector<T>, greater<T>>;
#define ms(a, x) memset(a, x, sizeof(a))
#define pb push_back
#define fs first
#define sn second
#define ALL(v) begin(v), end(v)
#define SZ(v) ((int) (v).size())
#define lbv(v, x) (lower_bound(ALL(v), x) - (v).begin())
#define ubv(v, x) (upper_bound(ALL(v), x) - (v).begin())
template <typename T> inline void UNIQUE(vector<T> &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}
const int INF = 0x3f3f3f3f;
const ll LLINF = 0x3f3f3f3f3f3f3f3f;
const double PI = acos(-1);
#define FR(i, n) for(int i = 0; i < (n); i++)
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define FORR(i, a, b) for(int i = (a); i >= (b); i--)
#define dbg(x) {cerr << #x << ' ' << x << endl;}
#define dbgArr(arr, n) {cerr << #arr; FR(_i, n) cerr << ' ' << (arr)[_i]; cerr << endl;}
template <typename T, typename U>
ostream& operator<<(ostream &os, pair<T, U> p){
return os << "(" << p.fs << ", " << p.sn << ")";
}
const int MN = 305;
const int MV = MN*3;
template <typename T, int MSZ>
struct Dinic {
const T TINF = INF;
struct Edge {
int node, rev;
T cap;
bool real;
};
int s, t;
vector<Edge> adjList[MSZ];
int dist[MSZ];
int nxt[MSZ];
void addEdge(int a, int b, T c){
adjList[a].pb({b, SZ(adjList[b]), c, true});
adjList[b].pb({a, SZ(adjList[a])-1, 0, false});
}
void rmEdge(int a, int b){
adjList[a].pop_back();
adjList[b].pop_back();
}
void reset(){
FR(i, MSZ) for(Edge &e : adjList[i]) if(!e.real) adjList[e.node][e.rev].cap += e.cap, e.cap = 0;
}
T dfs(int n1, T f){
if(f == 0 || n1 == t) return f;
T pushed = 0;
while(nxt[n1] < SZ(adjList[n1])){
Edge &e = adjList[n1][nxt[n1]];
int n2 = e.node;
if(dist[n1] < dist[n2]){
T nf = dfs(n2, min(f, e.cap));
e.cap -= nf;
adjList[n2][e.rev].cap += nf;
pushed += nf;
f -= nf;
if(f == 0) break;
}
nxt[n1]++;
}
return pushed;
}
T maxFlow(int inS, int inT){
s = inS; t = inT;
T f = 0;
while(true){
ms(nxt, 0);
ms(dist, -1);
dist[s] = 0;
queue<int> qu;
qu.push(s);
while(!qu.empty()){
int n1 = qu.front(); qu.pop();
if(n1 == t) break;
for(Edge e : adjList[n1]){
int n2 = e.node;
if(e.cap == 0 || dist[n2] != -1) continue;
dist[n2] = dist[n1] + 1;
qu.push(n2);
}
}
if(dist[t] == -1) return f;
f += dfs(s, TINF);
}
}
};
int n, m, g;
int dsu[MN];
pair<int, pii> allEdges[MN*MN];
vector<pair<int, pii>> edges;
bool inAns[MN];
Dinic<int, MV> dinic;
int find(int a){
return dsu[a] < 0 ? a : dsu[a] = find(dsu[a]);
}
void kruskal(){
sort(allEdges, allEdges + m);
/*edges = vector<pair<int, pii>>(allEdges, allEdges + m);
return;*/
ms(dsu, -1);
FR(i, m){
auto [c, p] = allEdges[i];
auto [a, b] = p;
a = find(a), b = find(b);
if(a != b){
dsu[b] = a;
edges.pb(allEdges[i]);
}
}
}
bool check(){
ms(dsu, -1);
FR(i, SZ(edges)) if(inAns[i]){
auto [a, b] = edges[i].sn;
a = find(a), b = find(b);
if(a != b) dsu[b] = a;
}
int numRoot = 0;
FR(i, n) numRoot += dsu[i] < 0;
FR(i, n) dinic.addEdge(n+i, n+n+find(i), 1);
int f = dinic.maxFlow(MV-2, MV-1);
dinic.reset();
FR(i, n) dinic.rmEdge(n+i, n+n+find(i));
//dbgArr(inAns, SZ(edges));
//cerr << f << ' ' << numRoot << endl;
assert(f <= numRoot);
return f == numRoot;
}
int main(){
cin.sync_with_stdio(0); cin.tie(0);
cin >> n >> m >> g;
FR(i, m){
int a, b, c;
cin >> a >> b >> c;
a--; b--;
allEdges[i] = {c, {a, b}};
}
kruskal();
//cerr << "a" << endl;
FR(i, g){
int k; cin >> k;
FR(j, k){
int a; cin >> a; a--;
dinic.addEdge(i, n+a, 1);
}
}
FR(i, n) dinic.addEdge(MV-2, i, 1);
FR(i, n) dinic.addEdge(n+n+i, MV-1, 1);
FR(i, n) dinic.addEdge(n+i, n+n+i, 1);
if(dinic.maxFlow(MV-2, MV-1) != g) return !printf("-1\n");
dinic.reset();
FR(i, n) dinic.rmEdge(n+i, n+n+i);
//dbgArr(edges, SZ(edges));
int ans = 0;
fill_n(inAns, SZ(edges), true);
FORR(i, SZ(edges)-1, 0){
inAns[i] = false;
if(!check()) inAns[i] = true, ans += edges[i].fs;
}
//dbgArr(inAns, SZ(edges));
cout << ans << '\n';
}
詳細信息
Test #1:
score: 100
Accepted
time: 2ms
memory: 3400kb
input:
5 6 2 1 2 1 1 3 4 2 4 2 2 5 5 3 4 7 4 5 3 2 1 2 2 2 4
output:
8
result:
ok answer is '8'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3480kb
input:
10 19 6 1 5 761 6 8 606 3 9 648 2 4 115 5 8 814 1 2 712 4 10 13 5 10 797 3 4 956 1 7 73 5 7 192 2 7 110 5 9 302 3 6 120 6 9 494 1 3 668 3 7 966 6 10 974 3 8 41 2 10 5 3 6 4 3 2 1 7 2 10 8 3 10 7 8 2 2 1
output:
429
result:
ok answer is '429'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3436kb
input:
10 43 3 1 3 656 2 6 856 4 10 99 5 6 900 2 7 766 4 7 582 2 8 135 5 7 831 3 5 12 3 10 789 1 8 66 4 9 390 1 7 238 6 7 960 1 4 624 3 9 602 7 10 366 5 8 526 2 9 561 6 10 722 2 5 904 3 4 35 1 9 768 5 9 457 6 8 61 4 6 192 4 5 96 5 10 747 8 9 611 7 8 953 3 8 449 2 4 228 1 6 197 9 10 160 3 6 869 1 2 785 4 8 ...
output:
526
result:
ok answer is '526'
Test #4:
score: 0
Accepted
time: 9ms
memory: 3604kb
input:
277 9038 1 226 260 740 44 226 376 151 263 611 67 269 241 120 181 677 259 271 782 37 52 310 48 152 452 168 266 823 85 234 100 46 201 738 129 153 301 69 147 434 13 72 764 13 234 316 171 222 398 214 255 21 112 158 430 20 118 407 45 152 971 205 214 272 221 275 362 198 268 472 117 176 207 31 75 652 139 1...
output:
5375
result:
ok answer is '5375'
Test #5:
score: 0
Accepted
time: 61ms
memory: 3884kb
input:
297 27966 132 15 197 980 226 259 950 161 168 142 118 176 834 157 221 806 24 210 432 212 242 838 110 166 177 78 170 801 52 166 3 89 213 448 45 170 626 250 251 268 93 222 679 7 128 839 5 7 320 132 191 1 192 295 717 36 231 542 162 175 508 173 178 458 211 272 926 46 168 145 19 150 805 165 262 198 50 179...
output:
775
result:
ok answer is '775'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3436kb
input:
7 7 4 1 3 7 1 4 6 2 3 5 2 4 6 4 5 10 4 6 10 4 7 10 5 4 3 2 7 5 6 5 2 6 7 4 1 2 2 3 6 7 2 5 3 1 6
output:
17
result:
ok answer is '17'
Test #7:
score: 0
Accepted
time: 182ms
memory: 5920kb
input:
300 44850 299 1 2 1 1 3 1 1 4 1 1 5 1 1 6 1 1 7 1 1 8 1 1 9 1 1 10 1 1 11 1 1 12 1 1 13 1 1 14 1 1 15 1 1 16 1 1 17 1 1 18 1 1 19 1 1 20 1 1 21 1 1 22 1 1 23 1 1 24 1 1 25 1 1 26 1 1 27 1 1 28 1 1 29 1 1 30 1 1 31 1 1 32 1 1 33 1 1 34 1 1 35 1 1 36 1 1 37 1 1 38 1 1 39 1 1 40 1 1 41 1 1 42 1 1 43 1 ...
output:
1000
result:
ok answer is '1000'
Test #8:
score: 0
Accepted
time: 361ms
memory: 8756kb
input:
300 44850 299 1 2 1 1 3 1 1 4 1 1 5 1 1 6 1 1 7 1 1 8 1 1 9 1 1 10 1 1 11 1 1 12 1 1 13 1 1 14 1 1 15 1 1 16 1 1 17 1 1 18 1 1 19 1 1 20 1 1 21 1 1 22 1 1 23 1 1 24 1 1 25 1 1 26 1 1 27 1 1 28 1 1 29 1 1 30 1 1 31 1 1 32 1 1 33 1 1 34 1 1 35 1 1 36 1 1 37 1 1 38 1 1 39 1 1 40 1 1 41 1 1 42 1 1 43 1 ...
output:
1000
result:
ok answer is '1000'
Test #9:
score: 0
Accepted
time: 90ms
memory: 5240kb
input:
300 44850 150 1 2 4 1 3 4 1 4 4 1 5 3 1 6 10 1 7 4 1 8 8 1 9 5 1 10 4 1 11 9 1 12 9 1 13 1 1 14 3 1 15 5 1 16 7 1 17 5 1 18 2 1 19 6 1 20 4 1 21 10 1 22 5 1 23 7 1 24 2 1 25 2 1 26 4 1 27 4 1 28 5 1 29 8 1 30 10 1 31 9 1 32 1 1 33 7 1 34 5 1 35 4 1 36 6 1 37 8 1 38 1 1 39 2 1 40 1 1 41 1 1 42 1 1 43...
output:
249
result:
ok answer is '249'
Test #10:
score: 0
Accepted
time: 84ms
memory: 5320kb
input:
300 44850 150 1 2 70 1 3 26 1 4 76 1 5 74 1 6 98 1 7 72 1 8 66 1 9 25 1 10 36 1 11 57 1 12 8 1 13 88 1 14 98 1 15 33 1 16 85 1 17 56 1 18 16 1 19 62 1 20 41 1 21 81 1 22 18 1 23 15 1 24 69 1 25 11 1 26 29 1 27 62 1 28 64 1 29 41 1 30 92 1 31 29 1 32 99 1 33 40 1 34 30 1 35 23 1 36 49 1 37 6 1 38 84 ...
output:
1299
result:
ok answer is '1299'
Test #11:
score: 0
Accepted
time: 181ms
memory: 5324kb
input:
300 44850 150 1 2 3 1 3 2 1 4 20 1 5 77 1 6 77 1 7 23 1 8 39 1 9 57 1 10 83 1 11 60 1 12 6 1 13 78 1 14 64 1 15 62 1 16 41 1 17 88 1 18 77 1 19 58 1 20 39 1 21 18 1 22 43 1 23 26 1 24 40 1 25 61 1 26 23 1 27 6 1 28 47 1 29 100 1 30 59 1 31 92 1 32 60 1 33 13 1 34 57 1 35 55 1 36 99 1 37 77 1 38 63 1...
output:
1310
result:
ok answer is '1310'
Test #12:
score: -100
Wrong Answer
time: 28ms
memory: 4104kb
input:
300 44551 299 1 2 1 1 3 1 1 4 1 1 5 1 1 6 1 1 7 1 1 8 1 1 9 1 1 10 1 1 11 1 1 12 1 1 13 1 1 14 1 1 15 1 1 16 1 1 17 1 1 18 1 1 19 1 1 20 1 1 21 1 1 22 1 1 23 1 1 24 1 1 25 1 1 26 1 1 27 1 1 28 1 1 29 1 1 30 1 1 31 1 1 32 1 1 33 1 1 34 1 1 35 1 1 36 1 1 37 1 1 38 1 1 39 1 1 40 1 1 41 1 1 42 1 1 43 1 ...
output:
298
result:
wrong answer expected '-1', found '298'