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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#379235 | #8566. Can We Still Qualify For Semifinals? | ucup-team027# | AC ✓ | 4ms | 3836kb | C++23 | 3.2kb | 2024-04-06 16:43:00 | 2024-04-06 16:43:00 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
vector<pair<int, int>> matches;
void init() {
vector<int> rank(10);
for (int i = 0; i < 10; i++) {
rank[i] = i;
}
sort(rank.begin(), rank.end());
for (int i = 0; i < 9; i++) {
matches.emplace_back(rank[0], rank[9]);
matches.emplace_back(rank[1], rank[8]);
matches.emplace_back(rank[2], rank[7]);
matches.emplace_back(rank[3], rank[6]);
matches.emplace_back(rank[4], rank[5]);
rotate(rank.begin()+1, rank.end()-1, rank.end());
}
}
struct Dinic {
struct Edge {
int to, rev;
ll c, oc;
ll flow() { return max(oc - c, 0LL); } // if you need flows
};
vi lvl, ptr, q;
vector<vector<Edge>> adj;
Dinic(int n) : lvl(n), ptr(n), q(n), adj(n) {}
void addEdge(int a, int b, ll c, int rcap = 0) {
adj[a].push_back({b, sz(adj[b]), c, c});
adj[b].push_back({a, sz(adj[a]) - 1, rcap, rcap});
}
ll dfs(int v, int t, ll f) {
if (v == t || !f) return f;
for (int& i = ptr[v]; i < sz(adj[v]); i++) {
Edge& e = adj[v][i];
if (lvl[e.to] == lvl[v] + 1)
if (ll p = dfs(e.to, t, min(f, e.c))) {
e.c -= p, adj[e.to][e.rev].c += p;
return p;
}
}
return 0;
}
ll calc(int s, int t) {
ll flow = 0; q[0] = s;
rep(L,0,31) do { // 'int L=30' maybe faster for random data
lvl = ptr = vi(sz(q));
int qi = 0, qe = lvl[s] = 1;
while (qi < qe && !lvl[t]) {
int v = q[qi++];
for (Edge e : adj[v])
if (!lvl[e.to] && e.c >> (30 - L))
q[qe++] = e.to, lvl[e.to] = lvl[v] + 1;
}
while (ll p = dfs(s, t, LLONG_MAX)) flow += p;
} while (lvl[t]);
return flow;
}
bool leftOfMinCut(int a) { return lvl[a] != 0; }
};
void solve() {
int k; cin >> k;
string s; cin >> s;
for (int msk = 0; msk < (1 << 9); msk++) {
if (__builtin_popcount(msk) != 3) continue;
Dinic dn(45+10+2);
int src = 0, sink = 45+10+1;
vector<int> prescore(10);
int flneed = 0;
for (int i = 0; i < 45; i++) {
auto [x, y] = matches[i];
dn.addEdge(0, i+1, 1);
if (i < k) {
if (s[i] == '1') prescore[x]++;
else prescore[y]++;
} else {
if (x == 0 || y == 0) {
prescore[0]++;
} else {
flneed++;
dn.addEdge(i+1, 46+x, 1);
dn.addEdge(i+1, 46+y, 1);
}
}
}
// team to sink
bool ok = 1;
for (int i = 1; i < 10; i++) {
if (msk & (1 << (i-1))) {
// allowed to beat prescore[0]
dn.addEdge(46+i, sink, 1000);
} else {
// not allowed to beat prescore
if (prescore[i] > prescore[0]) {
ok = 0; break;
}
dn.addEdge(46+i, sink, prescore[0] - prescore[i]);
}
}
if (!ok) continue;
// can all matches be conducted?
if (dn.calc(src, sink) == flneed) {
cout << "YES\n";
return;
}
}
cout << "NO\n";
}
signed main() {
ios::sync_with_stdio(0); cin.tie(0);
init();
int t; cin >> t;
while (t--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3512kb
input:
3 3 111 25 1000010101111111111010100 35 01111011110111101111011110111101111
output:
YES YES NO
result:
ok 3 token(s): yes count is 2, no count is 1
Test #2:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
10 16 0110000001010100 17 01111000110110101 15 001100010101111 16 0010101010011100 19 0000000100010110100 16 0011101010011100 18 011110010001100000 18 000110101001100011 20 01100010000100100100 15 001000111001101
output:
YES YES YES YES YES YES YES YES YES YES
result:
ok 10 token(s): yes count is 10, no count is 0
Test #3:
score: 0
Accepted
time: 3ms
memory: 3804kb
input:
10 37 0110000001010100011101001011100110001 39 000100111101101001100101101000000000100 35 00111000100111100101011010111100100 33 010000010001110010110001101110001 30 000100010100000010010110101010 31 0000101000011010101001010000000 44 00001000000111101011010110000101100011000100 42 01111011110001001...
output:
NO NO NO NO NO NO NO NO NO NO
result:
ok 10 token(s): yes count is 0, no count is 10
Test #4:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
10 23 01100000010101000111010 38 01111001100011000101011110101001101001 27 010000000001001001110001001 26 01101001110011101101000110 8 00001000 22 0110100110001110110001 9 000100010 24 000000100101101010100100 6 011000 29 01101010100101000000000000100
output:
YES NO NO NO YES YES YES YES YES NO
result:
ok 10 token(s): yes count is 6, no count is 4
Test #5:
score: 0
Accepted
time: 2ms
memory: 3548kb
input:
10 30 011000000101010001110100101110 29 01001010010011101110010110010 28 0110000000001000101101001001 23 01101001110011101101000 23 01000001000111001011000 24 011110001000010001010000 23 01001011010101001000011 30 000110011001010010000000000010 24 000110111001110011000011 28 000110001000011011110110...
output:
NO NO NO YES YES YES YES NO YES NO
result:
ok 10 token(s): yes count is 5, no count is 5
Test #6:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
10 21 011000000101010001110 21 000110110101001010010 22 0111101101001100101101 24 000000001000101011000101 21 011010011100111011010 20 00110000010001101010 21 010010111100010000100 24 010100000100011010110010 23 00001010000110101010010 25 0000000000001000001101110
output:
YES YES YES YES YES YES YES YES YES YES
result:
ok 10 token(s): yes count is 10, no count is 0
Test #7:
score: 0
Accepted
time: 4ms
memory: 3564kb
input:
10 26 01100000010101000111010010 26 01101010010100100111011100 26 00110010110100000000010010 27 011100010101110010110101101 30 010100011000001000110101001100 30 011110001000010001010000001001 28 0101100101000010100001101010 26 00101000000000000100000110 28 0110101101010000111000110001 27 00011011110...
output:
NO NO NO NO NO NO NO NO NO NO
result:
ok 10 token(s): yes count is 0, no count is 10
Test #8:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
10 25 0010100010011010111001111 26 01001010100010101010001010 26 01111001110000100111011110 26 10001000100110101110011110 26 10101010100110101110011110 27 110100010101010011010111001 27 101010101001101011100111101 31 1000010001010100110001011011110 37 1000101111000100110000011000000100101 40 1000101...
output:
NO NO NO NO NO NO NO NO NO NO
result:
ok 10 token(s): yes count is 0, no count is 10
Test #9:
score: 0
Accepted
time: 3ms
memory: 3836kb
input:
10 26 00001010000000000000000000 26 00000010000000000000000000 26 01101010100010101011011110 26 00011011110111101111011110 27 001100110101011001110111101 27 000110111101111011110111101 28 0110001001000010011101111011 29 01000000010001101000011110111 29 01000000010000101101011110111 30 01000011110111...
output:
YES YES YES YES YES YES YES YES YES NO
result:
ok 10 token(s): yes count is 9, no count is 1
Test #10:
score: 0
Accepted
time: 1ms
memory: 3792kb
input:
10 1 0 2 00 10 0001101110 14 00101010000011 20 00000010010100101010 25 0000000101000100100001111 35 01110011010000101010000010010000100 40 0000100110001110101100001001000110000001 44 01011010110010101110011000010001010011100011 45 010010001001010011110111101011011000000100001
output:
YES YES YES YES YES YES NO NO NO NO
result:
ok 10 token(s): yes count is 6, no count is 4
Extra Test:
score: 0
Extra Test Passed