QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#289076 | #7860. Graph of Maximum Degree 3 | ucup-team266# | ML | 45ms | 11788kb | C++20 | 3.7kb | 2023-12-23 15:10:59 | 2023-12-23 15:10:59 |
Judging History
answer
#include<bits/stdc++.h>
#define rep(i, n) for(int i = 0; i < (n); ++i)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef pair<ll, int> pli;
typedef pair<ll, ll> pll;
typedef array<int, 3> ai3;
const int inf = 0x3f3f3f3f;
const int Mod = 998244353;
int sign(int a){ return (a&1) ? (Mod-1) : 1; }
void uadd(int &a, int b){ a += b-Mod; a += (a>>31) & Mod; }
void usub(int &a, int b){ a -= b, a += (a>>31) & Mod; }
void umul(int &a, int b){ a = (int)(1ll * a * b % Mod); }
int add(int a, int b){ a += b-Mod; a += (a>>31) & Mod; return a; }
int sub(int a, int b){ a -= b, a += (a>>31) & Mod; return a; }
int mul(int a, int b){ a = (int)(1ll * a * b % Mod); return a; }
int qpow(int b, ll p){ int ret = 1; while(p){ if(p&1) umul(ret, b); umul(b, b), p >>= 1; } return ret; }
const int fN = 10010;
int fact[fN], invfact[fN], inv[fN];
void initfact(int n){
fact[0] = 1; for(int i = 1; i <= n; ++i) fact[i] = mul(fact[i-1], i);
invfact[n] = qpow(fact[n], Mod-2); for(int i = n; i > 0; --i) invfact[i-1] = mul(invfact[i], i);
for(int i = 1; i <= n; ++i) inv[i] = mul(invfact[i], fact[i-1]);
}
int binom(int n, int m){ return (m < 0 || m > n) ? 0 : mul(fact[n], mul(invfact[m], invfact[n-m])); }
const double pi = acos(-1);
void chmax(int &a, int b){ (b>a) ? (a=b) : 0; }
void chmin(int &a, int b){ (b<a) ? (a=b) : 0; }
int n, m;
vector<pii> g[100100];
int dsu[2][4]; int getdsu(int id, int u){ return dsu[id][u] = dsu[id][u] == u ? u : getdsu(id, dsu[id][u]); }
bool done[100100];
mt19937 rnd(114514);
int id[100100];
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n >> m;
rep(i, m){
int u, v, w;
// u=1+rnd()%n,v=1+rnd()%n,w=rnd()%2;
// while(v==u) v=1+rnd()%n;
cin >> u >> v >> w;
--u, --v;
g[u].push_back(make_pair(v, w));
g[v].push_back(make_pair(u, w));
}
for(int i=1;i<=n;i++) assert(g[i].size()<=3);
int ans = n;
int s2 = 0;
rep(i, n){
bool has = 0;
rep(j, (int)g[i].size()){
rep(k, j){
if(g[i][j].first == g[i][k].first && g[i][j].second != g[i][k].second)
++s2, has = 1;
if(has) break;
}
if(has) break;
}
}
s2 /= 2;
ans += s2;
int s3 = 0;
rep(i, n){
if((int)g[i].size() < 3) continue;
rep(j, (int)g[i].size()) rep(k, j){
if(g[i][j].first == g[i][k].first && g[i][j].second != g[i][k].second){
int u = g[i][j].first, v = g[i][(3 - j - k)].first, vw = g[i][(3 - j - k)].second;
bool ok = 0;
rep(l, (int)g[u].size()) ok |= (g[u][l].first == v && g[u][l].second != vw);
s3 += ok;
}
}
}
s3 /= 2;
ans += s3;
memset(id, -1, sizeof(id));
vi v,nv;
int s4 = 0;
// map<pii,int> Mp[2];
rep(i, n){
if(done[i] || (int)g[i].size() < 3) continue;
rep(j, 4) dsu[0][j] = dsu[1][j] = j;
v.clear(),v.push_back(i);
// cout<<v.size()<<"\n";
rep(j, 3) v.push_back(g[i][j].first);
sort(v.begin(), v.end());
v.resize(unique(v.begin(), v.end()) - v.begin());
nv=v;
int cur=v.size();
for(int C=0;C<cur;C++)
for(int B=0;B<(int)g[v[C]].size();B++)
nv.push_back(g[v[C]][B].first);
v=nv;
sort(v.begin(), v.end());
v.resize(unique(v.begin(), v.end()) - v.begin());
if(v.size()!=4) continue;
rep(j, 4) done[v[j]] = 1, id[v[j]] = j;
bool ok = 1;
rep(j, 4) rep(k, (int)g[v[j]].size()){
int t = g[v[j]][k].first, w = g[v[j]][k].second;
if(id[t] < 0) ok = 0;
dsu[w][getdsu(w, id[t])] = getdsu(w, j);
}
rep(j, 4) done[v[j]] = 1, id[v[j]] = -1;
rep(j, 4) ok &= getdsu(0, j) == getdsu(0, 0);
rep(j, 4) ok &= getdsu(1, j) == getdsu(1, 0);
s4 += ok;
}
ans += s4;
cout << ans << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 6588kb
input:
3 4 1 2 0 1 3 1 2 3 0 2 3 1
output:
5
result:
ok 1 number(s): "5"
Test #2:
score: 0
Accepted
time: 1ms
memory: 6380kb
input:
4 6 1 2 0 2 3 0 3 4 0 1 4 1 2 4 1 1 3 1
output:
5
result:
ok 1 number(s): "5"
Test #3:
score: 0
Accepted
time: 1ms
memory: 6348kb
input:
20 28 9 6 1 9 6 0 3 8 0 8 4 0 3 8 1 3 4 1 2 13 0 13 1 0 19 1 0 2 1 1 2 19 1 13 19 1 14 15 1 14 15 0 7 12 0 12 17 0 20 17 0 7 17 1 7 20 1 12 20 1 16 18 0 18 10 0 5 10 0 16 10 1 16 5 1 18 5 1 4 6 0 9 11 0
output:
27
result:
ok 1 number(s): "27"
Test #4:
score: 0
Accepted
time: 1ms
memory: 6348kb
input:
100 150 93 23 0 23 81 0 76 81 0 93 81 1 93 76 1 23 76 1 100 65 0 65 56 0 19 56 0 100 56 1 100 19 1 65 19 1 2 98 0 2 98 1 26 63 0 63 90 0 26 63 1 26 90 1 6 11 0 11 67 0 6 11 1 6 67 1 37 89 0 89 64 0 25 64 0 37 64 1 37 25 1 89 25 1 84 10 0 10 29 0 75 29 0 84 29 1 84 75 1 10 75 1 7 70 1 7 70 0 28 92 0 ...
output:
141
result:
ok 1 number(s): "141"
Test #5:
score: 0
Accepted
time: 30ms
memory: 10888kb
input:
100000 133680 36843 86625 0 86625 63051 0 35524 63051 0 36843 63051 1 36843 35524 1 86625 35524 1 55797 82715 0 55797 82715 1 70147 35104 0 35104 91732 0 70147 35104 1 70147 91732 1 94917 70395 0 70395 68250 0 24100 68250 0 94917 68250 1 94917 24100 1 70395 24100 1 83033 18450 1 83033 18450 0 34462 ...
output:
144604
result:
ok 1 number(s): "144604"
Test #6:
score: 0
Accepted
time: 36ms
memory: 10564kb
input:
100000 133388 86620 74346 0 74346 19047 0 54911 19047 0 86620 19047 1 86620 54911 1 74346 54911 1 23715 93094 0 93094 91208 0 63189 91208 0 23715 91208 1 23715 63189 1 93094 63189 1 99337 41426 1 99337 41426 0 83742 45546 0 45546 73862 0 83742 45546 1 83742 73862 1 85256 2812 0 2812 59368 0 85918 59...
output:
144348
result:
ok 1 number(s): "144348"
Test #7:
score: 0
Accepted
time: 44ms
memory: 11508kb
input:
100000 150000 86541 24385 0 24385 75745 0 52353 75745 0 86541 75745 1 86541 52353 1 24385 52353 1 89075 78015 0 89075 78015 1 52519 74846 0 74846 12045 0 73265 12045 0 52519 12045 1 52519 73265 1 74846 73265 1 17884 63159 0 63159 47308 0 56073 47308 0 17884 47308 1 17884 56073 1 63159 56073 1 72134 ...
output:
144639
result:
ok 1 number(s): "144639"
Test #8:
score: 0
Accepted
time: 40ms
memory: 11496kb
input:
100000 150000 91951 68612 1 91951 68612 0 18361 92673 0 92673 52678 0 86520 52678 0 18361 52678 1 18361 86520 1 92673 86520 1 58779 2421 0 58779 2421 1 66622 6461 0 6461 96943 0 66622 6461 1 66622 96943 1 27201 480 1 27201 480 0 19082 3895 0 3895 17796 0 3117 17796 0 19082 17796 1 19082 3117 1 3895 ...
output:
144471
result:
ok 1 number(s): "144471"
Test #9:
score: 0
Accepted
time: 45ms
memory: 11596kb
input:
100000 150000 43756 3552 0 3552 90269 0 43756 3552 1 43756 90269 1 11104 36935 1 11104 36935 0 11648 5480 0 5480 45320 0 11648 5480 1 11648 45320 1 19216 85746 0 19216 85746 1 68825 11173 0 11173 43155 0 68825 11173 1 68825 43155 1 27349 75259 0 27349 75259 1 1704 24478 0 24478 5980 0 1704 24478 1 1...
output:
144217
result:
ok 1 number(s): "144217"
Test #10:
score: 0
Accepted
time: 45ms
memory: 11788kb
input:
99999 149998 51151 43399 0 51151 43399 1 45978 28343 0 28343 9008 0 85724 9008 0 45978 9008 1 45978 85724 1 28343 85724 1 79446 12915 0 12915 65925 0 28869 65925 0 79446 65925 1 79446 28869 1 12915 28869 1 82642 95556 0 95556 68817 0 68334 68817 0 82642 68817 1 82642 68334 1 95556 68334 1 61212 7638...
output:
144219
result:
ok 1 number(s): "144219"
Test #11:
score: 0
Accepted
time: 36ms
memory: 11780kb
input:
100000 149999 26736 28785 0 28785 37945 0 26736 28785 1 26736 37945 1 1240 74368 0 74368 45022 0 1240 74368 1 1240 45022 1 40673 1276 0 1276 56395 0 40673 1276 1 40673 56395 1 35181 63341 0 63341 35131 0 60120 35131 0 35181 35131 1 35181 60120 1 63341 60120 1 99363 36973 0 99363 36973 1 85717 77683 ...
output:
144380
result:
ok 1 number(s): "144380"
Test #12:
score: 0
Accepted
time: 32ms
memory: 11780kb
input:
100000 150000 63695 11044 0 11044 34978 0 56531 34978 0 63695 34978 1 63695 56531 1 11044 56531 1 72139 3715 0 3715 21024 0 96696 21024 0 72139 21024 1 72139 96696 1 3715 96696 1 54670 49014 0 54670 49014 1 7670 61055 0 61055 38409 0 7670 61055 1 7670 38409 1 83399 50676 0 50676 98893 0 60069 98893 ...
output:
144559
result:
ok 1 number(s): "144559"
Test #13:
score: 0
Accepted
time: 0ms
memory: 6348kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #14:
score: 0
Accepted
time: 2ms
memory: 6348kb
input:
100000 0
output:
100000
result:
ok 1 number(s): "100000"
Test #15:
score: 0
Accepted
time: 29ms
memory: 11136kb
input:
100000 150000 95066 31960 0 31960 89758 0 10935 89758 0 95066 89758 1 95066 10935 1 31960 10935 1 48016 97823 0 97823 10871 0 23454 10871 0 48016 10871 1 48016 23454 1 97823 23454 1 73749 35525 0 35525 54232 0 42182 54232 0 73749 54232 1 73749 42182 1 35525 42182 1 75405 71341 0 71341 70032 0 3284 7...
output:
125000
result:
ok 1 number(s): "125000"
Test #16:
score: 0
Accepted
time: 1ms
memory: 6388kb
input:
4 6 1 2 0 1 2 1 1 3 0 2 4 1 3 4 0 3 4 1
output:
7
result:
ok 1 number(s): "7"
Test #17:
score: -100
Memory Limit Exceeded
input:
99998 115940 40840 40839 0 28249 28248 0 24785 24783 0 36536 36534 1 71904 71901 1 62023 62021 0 34737 34740 1 18430 18434 0 27506 27505 1 4665 4664 1 36578 36577 1 99311 99314 1 43484 43482 0 26457 26459 1 99698 99695 0 10170 10172 1 98176 98179 1 47786 47785 1 56529 56531 1 86896 86895 1 78204 782...