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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#289076#7860. Graph of Maximum Degree 3ucup-team266#ML 45ms11788kbC++203.7kb2023-12-23 15:10:592023-12-23 15:10:59

Judging History

你现在查看的是最新测评结果

  • [2023-12-23 15:10:59]
  • 评测
  • 测评结果:ML
  • 用时:45ms
  • 内存:11788kb
  • [2023-12-23 15:10:59]
  • 提交

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...

output:


result: