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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#761207 | #6613. Bitwise Exclusive-OR Sequence | gyc123 | TL | 127ms | 260232kb | C++14 | 2.7kb | 2024-11-18 21:28:26 | 2024-11-18 21:28:27 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std;
using PII = pair<int,int>;
const int N = 30, M = 2e5 +10;
vector<int> g[N + 10][M];
int qmi(int a, int b)
{
int res = 1;
while(b)
{
if(b & 1) res = res * a;
a = a * a;
b >>= 1;
}
return res;
}
signed main()
{
cin.tie(0), ios::sync_with_stdio(false);
int n, m;
cin >> n >> m;
vector<int> u(m + 1), v(m + 1), w(m + 1);
vector<vector<PII>> g1(35);
for(int i = 1; i <= m; i++)
{
cin >> u[i] >> v[i] >> w[i];
for(int j = 0; j <= 30; j++)
{
if((w[i] >> j) & 1)
{
g[j][u[i]].push_back(v[i]);
g[j][v[i]].push_back(u[i]);
}
else
{
g1[j].push_back({v[i], u[i]});
}
}
}
vector<bool> vis(n + 1, false);
vector<int> col(n + 1, 0);
int ans = 0;
auto bfs = [&](int x, int j){
queue<int> q;
vis[x] = true;
q.push(x);
col[x] = 1;
set<int> u;
while(q.size())
{
int t = q.front();
u.insert(t);
q.pop();
for(auto v : g[j][t])
{
if(!col[v])
{
col[v] = (col[t] * 2) % 3;
vis[v] = true;
q.push(v);
}
else
{
if(col[v] == col[t]) return false;
}
}
}
for(auto [x, y] : g1[j])
{
u.insert(x);
u.insert(y);
if(col[x] && col[y])
{
if(col[x] != col[y]) return false;
}
else if(!col[x] && !col[y]) ;
else
{
if(!col[x]) col[x] = col[y];
else col[y] = col[x];
}
}
int cnt = 0, cnt1 = 0;
for(auto x : u)
{
if(col[x] == 1) cnt++;
if(col[x] == 2) cnt1++;
col[x] = 0;
}
ans += min(cnt, cnt1) * qmi(2ll, j);
return true;
};
for(int j = 0; j <= 30; j++)
{
for(int i = 1; i <= n; i++) vis[i] = false, col[i] = 0;
for(int i = 1; i <= n; i++)
{
if(!vis[i] && g[j][i].size())
{
bool sum = bfs(i, j);
if(!sum)
{
cout << -1 << endl;
return 0;
}
}
}
}
cout << ans << endl;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 21ms
memory: 191120kb
input:
3 2 1 2 1 2 3 1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 30ms
memory: 191300kb
input:
3 3 1 2 1 2 3 1 1 3 1
output:
-1
result:
ok 1 number(s): "-1"
Test #3:
score: 0
Accepted
time: 23ms
memory: 191316kb
input:
5 5 3 4 12 3 1 20 2 5 16 1 4 24 4 5 19
output:
58
result:
ok 1 number(s): "58"
Test #4:
score: 0
Accepted
time: 109ms
memory: 259748kb
input:
500 124750 1 2 31473 1 3 11597 1 4 6686 1 5 1214 1 6 14442 1 7 1042 1 8 19057 1 9 22648 1 10 24461 1 11 25714 1 12 3976 1 13 31954 1 14 7384 1 15 13988 1 16 28651 1 17 31599 1 18 8786 1 19 27068 1 20 9645 1 21 28281 1 22 11681 1 23 28897 1 24 31916 1 25 10462 1 26 23973 1 27 4615 1 28 5124 1 29 2026...
output:
8041745
result:
ok 1 number(s): "8041745"
Test #5:
score: 0
Accepted
time: 127ms
memory: 260232kb
input:
500 124750 1 2 3902 1 3 9006 1 4 2914 1 5 8753 1 6 2395 1 7 21406 1 8 14552 1 9 25834 1 10 28282 1 11 9684 1 12 11347 1 13 20545 1 14 16324 1 15 16951 1 16 11594 1 17 5035 1 18 17726 1 19 831 1 20 23194 1 21 7693 1 22 6147 1 23 315 1 24 32755 1 25 17078 1 26 11348 1 27 9587 1 28 21015 1 29 881 1 30 ...
output:
7803950
result:
ok 1 number(s): "7803950"
Test #6:
score: -100
Time Limit Exceeded
input:
100000 200000 82262 26109 1005476194 43106 86715 475153289 59086 60577 507254441 71498 80384 186530379 99676 3003 289537598 30772 72897 345346447 12686 87447 896623879 12520 27709 26442442 82734 20830 967590473 13380 76164 927495776 25723 55377 89078582 7173 86993 669894679 37790 94846 331905713 365...