QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#248348#7623. Coloring Tapeucup-team159#AC ✓221ms9516kbC++236.4kb2023-11-11 18:34:532023-11-12 17:58:04

Judging History

你现在查看的是最新测评结果

  • [2023-11-12 17:58:04]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:221ms
  • 内存:9516kb
  • [2023-11-11 18:34:53]
  • 评测
  • 测评结果:100
  • 用时:229ms
  • 内存:9584kb
  • [2023-11-11 18:34:53]
  • 提交

answer

// #pragma GCC target("avx,avx2")
// #pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
#define rep(i,n) for(int i=0;i<int(n);i++)
#define rep1(i,n) for(int i=1;i<=int(n);i++)
#define per(i,n) for(int i=int(n)-1;i>=0;i--)
#define per1(i,n) for(int i=int(n);i>0;i--)
#define all(c) c.begin(),c.end()
#define si(x) int(x.size())
#define pb push_back
#define eb emplace_back
#define fs first
#define sc second
template<class T> using V = vector<T>;
template<class T> using VV = vector<vector<T>>;
template<class T,class U> bool chmax(T& x, U y){
	if(x<y){ x=y; return true; }
	return false;
}
template<class T,class U> bool chmin(T& x, U y){
	if(y<x){ x=y; return true; }
	return false;
}
template<class T> void mkuni(V<T>& v){sort(all(v));v.erase(unique(all(v)),v.end());}
template<class T> int lwb(const V<T>& v, const T& a){return lower_bound(all(v),a) - v.begin();}
template<class T>
V<T> Vec(size_t a) {
    return V<T>(a);
}
template<class T, class... Ts>
auto Vec(size_t a, Ts... ts) {
  return V<decltype(Vec<T>(ts...))>(a, Vec<T>(ts...));
}
template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){
	return o<<"("<<p.fs<<","<<p.sc<<")";
}
template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){
	o<<"{";
	for(const T& v:vc) o<<v<<",";
	o<<"}";
	return o;
}
constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n-1); }

#ifdef LOCAL
#define show(x) cerr << "LINE" << __LINE__ << " : " << #x << " = " << (x) << endl
void dmpr(ostream& os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ~ ";
	dmpr(os,args...);
}
#define shows(...) cerr << "LINE" << __LINE__ << " : ";dmpr(cerr,##__VA_ARGS__)
#define dump(x) cerr << "LINE" << __LINE__ << " : " << #x << " = {";  \
	for(auto v: x) cerr << v << ","; cerr << "}" << endl;
#else
#define show(x) void(0)
#define dump(x) void(0)
#define shows(...) void(0)
#endif

template<class D> D divFloor(D a, D b){
	return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0);
}
template<class D> D divCeil(D a, D b) {
	return a / b + (((a ^ b) > 0 && a % b != 0) ? 1 : 0);
}
bool B(int x,int i){return (x>>i)&1;}
using P = pair<int,int>;
template<unsigned int mod_>
struct ModInt{
	using uint = unsigned int;
	using ll = long long;
	using ull = unsigned long long;

	constexpr static uint mod = mod_;

	uint v;
	ModInt():v(0){}
	ModInt(ll _v):v(normS(_v%mod+mod)){}
	explicit operator bool() const {return v!=0;}
	static uint normS(const uint &x){return (x<mod)?x:x-mod;}		// [0 , 2*mod-1] -> [0 , mod-1]
	static ModInt make(const uint &x){ModInt m; m.v=x; return m;}
	ModInt operator+(const ModInt& b) const { return make(normS(v+b.v));}
	ModInt operator-(const ModInt& b) const { return make(normS(v+mod-b.v));}
	ModInt operator-() const { return make(normS(mod-v)); }
	ModInt operator*(const ModInt& b) const { return make((ull)v*b.v%mod);}
	ModInt operator/(const ModInt& b) const { return *this*b.inv();}
	ModInt& operator+=(const ModInt& b){ return *this=*this+b;}
	ModInt& operator-=(const ModInt& b){ return *this=*this-b;}
	ModInt& operator*=(const ModInt& b){ return *this=*this*b;}
	ModInt& operator/=(const ModInt& b){ return *this=*this/b;}
	ModInt& operator++(int){ return *this=*this+1;}
	ModInt& operator--(int){ return *this=*this-1;}
	template<class T> friend ModInt operator+(T a, const ModInt& b){ return (ModInt(a) += b);}
	template<class T> friend ModInt operator-(T a, const ModInt& b){ return (ModInt(a) -= b);}
	template<class T> friend ModInt operator*(T a, const ModInt& b){ return (ModInt(a) *= b);}
	template<class T> friend ModInt operator/(T a, const ModInt& b){ return (ModInt(a) /= b);}
	ModInt pow(ll p) const {
		if(p<0) return inv().pow(-p);
		ModInt a = 1;
		ModInt x = *this;
		while(p){
			if(p&1) a *= x;
			x *= x;
			p >>= 1;
		}
		return a;
	}
	ModInt inv() const {		// should be prime
		return pow(mod-2);
	}
	// ll extgcd(ll a,ll b,ll &x,ll &y) const{
	// 	ll p[]={a,1,0},q[]={b,0,1};
	// 	while(*q){
	// 		ll t=*p/ *q;
	// 		rep(i,3) swap(p[i]-=t*q[i],q[i]);
	// 	}
	// 	if(p[0]<0) rep(i,3) p[i]=-p[i];
	// 	x=p[1],y=p[2];
	// 	return p[0];
	// }
	// ModInt inv() const {
	// 	ll x,y;
	// 	extgcd(v,mod,x,y);
	// 	return make(normS(x+mod));
	// }

	bool operator==(const ModInt& b) const { return v==b.v;}
	bool operator!=(const ModInt& b) const { return v!=b.v;}
	bool operator<(const ModInt& b) const { return v<b.v;}
	friend istream& operator>>(istream &o,ModInt& x){
		ll tmp;
		o>>tmp;
		x=ModInt(tmp);
		return o;
	}
	friend ostream& operator<<(ostream &o,const ModInt& x){ return o<<x.v;}
};
using mint = ModInt<998244353>;

void zeta(V<mint>& f,int N){
	rep(i,N) rep(j,1<<N) if(0==(j&1<<i)) f[j]+=f[j|(1<<i)];
}

int main(){
	cin.tie(0);
	ios::sync_with_stdio(false);		//DON'T USE scanf/printf/puts !!
	cout << fixed << setprecision(20);

	int N,M,X; cin >> N >> M >> X;

	V<V<int>> lrcs;

	rep(cut,1<<(N-1)){
		V<int> t;
		rep(i,N){
			if(i==0 or B(cut,i-1)) t.pb(i);
		}
		t.pb(N);
		int K = si(t)-1;
		auto dfs = [&](auto&& self, int k, int L, int R) -> void {
			if(k == K){
				lrcs.pb({L,R,cut});
				return;
			}
			if(t[k+1]-t[k] == 1){
				self(self,k+1,L^(1<<t[k]),R^(1<<t[k]));
			}else{
				self(self,k+1,L^(1<<t[k]),R^(1<<(t[k+1]-1)));
				self(self,k+1,L^(1<<(t[k+1]-1)),R^(1<<t[k]));
			}
		};
		dfs(dfs,0,0,0);
	}

	VV<P> w2same(M),w2diff(M);
	while(X--){
		int w,x,y,t; cin >> w >> x >> y >> t;
		w--,x--,y--;
		if(t == 0) w2same[w].pb(P(x,y));
		else w2diff[w].pb(P(x,y));
	}
	if(!w2same[0].empty()){
		cout << 0 << endl; return 0;
	}
	// first col!!!
	V<mint> dp(1<<N); dp[(1<<N)-1] = 1;
	V<mint> nx(1<<N);
	rep(w,M-1){
		// w -> w+1
		zeta(dp,N);
		V<bool> valid(1<<(N-1),true);
		{
			auto& same = w2same[w+1], diff = w2diff[w+1];
			for(auto& [x,y]: same){
				rep(c,1<<(N-1)){
					for(int i=x;i<y;i++) if(B(c,i)) valid[c] = false;
				}
			}
			for(auto& [x,y]: diff){
				rep(c,1<<(N-1)){
					bool isdiff = false;
					for(int i=x;i<y;i++) if(B(c,i)) isdiff = true;
					if(!isdiff) valid[c] = false;
				}
			}
		}
		for(const auto& lrc: lrcs){
			int L = lrc[0], R = lrc[1], C = lrc[2];
			if(!valid[C]) continue;
			nx[R] += dp[L];
		}
		dp = nx; rep(s,1<<N) nx[s] = 0;
	}
	cout << accumulate(all(dp),mint(0)) << endl;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3616kb

input:

3 5 3
3 2 3 0
4 1 2 0
5 1 3 0

output:

19

result:

ok 1 number(s): "19"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

5 10 10
9 3 4 1
2 4 5 0
7 2 3 0
9 2 3 0
6 3 5 0
6 2 4 1
2 4 5 0
1 1 3 1
7 2 4 0
10 2 3 0

output:

1514

result:

ok 1 number(s): "1514"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

5 10 20
8 4 5 0
2 2 5 1
8 4 5 0
10 3 5 0
7 1 3 1
1 2 4 1
6 3 5 1
10 3 5 0
4 1 5 1
7 3 4 1
2 2 4 1
8 3 4 0
9 3 5 0
5 2 5 1
9 4 5 0
9 1 2 0
6 1 5 1
8 3 5 0
2 2 4 1
8 3 5 0

output:

28131

result:

ok 1 number(s): "28131"

Test #4:

score: 0
Accepted
time: 2ms
memory: 3640kb

input:

10 100 200
95 5 7 0
7 4 6 1
62 9 10 0
32 5 8 1
31 2 6 1
75 7 9 1
1 4 7 1
18 7 10 1
75 1 8 1
87 6 9 1
44 7 8 1
68 6 9 1
95 4 6 0
34 1 2 1
70 1 6 1
31 5 9 1
15 6 10 1
48 5 8 1
51 3 7 1
39 5 9 1
23 2 3 1
7 8 9 1
84 7 10 1
13 4 9 1
18 3 6 1
59 9 10 0
31 8 10 1
6 7 9 1
76 3 10 1
41 5 6 0
33 3 4 1
96 1 10...

output:

655333622

result:

ok 1 number(s): "655333622"

Test #5:

score: 0
Accepted
time: 4ms
memory: 4036kb

input:

10 200 200
106 9 10 0
93 4 10 1
199 3 7 0
73 2 9 1
105 8 9 0
38 9 10 1
73 8 10 1
153 3 9 1
123 2 5 1
159 7 9 0
154 5 7 1
162 3 7 0
113 1 5 1
131 7 9 1
67 4 6 1
178 6 10 0
157 7 9 0
147 9 10 0
154 7 10 0
123 3 4 1
39 8 10 1
139 2 9 1
191 9 10 0
36 4 5 1
17 2 8 1
124 3 7 1
9 9 10 1
71 9 10 1
181 7 8 0...

output:

552037151

result:

ok 1 number(s): "552037151"

Test #6:

score: 0
Accepted
time: 5ms
memory: 3820kb

input:

10 300 200
252 1 5 0
48 9 10 1
18 9 10 1
233 9 10 0
195 2 9 1
125 2 5 1
263 7 9 1
24 1 6 1
258 2 10 1
272 8 10 1
76 5 7 1
147 1 7 1
93 9 10 1
30 6 9 1
10 1 10 1
56 2 10 1
93 8 9 1
206 6 9 1
65 1 9 1
226 3 5 0
88 7 8 1
151 3 4 1
292 9 10 0
129 2 3 1
292 9 10 0
180 7 10 1
4 5 10 1
10 9 10 1
151 4 7 1
...

output:

4494096

result:

ok 1 number(s): "4494096"

Test #7:

score: 0
Accepted
time: 8ms
memory: 4040kb

input:

10 500 300
210 4 7 1
341 8 9 0
371 2 5 0
21 4 10 1
370 8 9 0
368 1 6 0
395 7 9 0
287 6 10 1
299 3 7 1
379 1 9 1
164 4 10 1
390 7 9 0
455 6 9 0
208 8 10 1
402 3 10 0
112 8 10 1
279 3 10 1
180 7 10 1
456 2 6 0
121 5 6 1
312 5 7 0
335 8 10 0
318 2 10 1
497 8 10 0
108 8 9 0
247 3 6 1
155 5 6 1
308 1 2 0...

output:

705403853

result:

ok 1 number(s): "705403853"

Test #8:

score: 0
Accepted
time: 42ms
memory: 4528kb

input:

12 500 300
115 3 10 1
152 10 12 1
89 8 12 1
276 4 7 0
467 6 7 0
405 5 9 0
189 4 9 1
197 1 3 1
341 7 8 0
67 7 8 1
266 2 6 1
78 8 12 1
317 11 12 0
417 8 10 0
380 2 8 0
255 2 5 1
80 7 9 1
317 5 11 1
470 5 9 0
373 3 4 0
413 4 10 0
393 9 12 0
362 8 10 1
42 7 12 1
486 3 5 0
229 1 5 0
224 6 7 0
55 3 10 1
4...

output:

378086467

result:

ok 1 number(s): "378086467"

Test #9:

score: 0
Accepted
time: 41ms
memory: 4476kb

input:

12 500 500
54 11 12 1
325 10 11 0
83 2 3 1
148 3 10 1
165 3 11 1
16 11 12 1
363 8 10 1
78 11 12 1
258 4 12 1
237 8 11 1
403 2 10 1
354 1 9 1
234 4 7 1
454 9 11 0
160 11 12 1
393 1 3 0
375 9 11 0
494 1 3 0
200 6 12 1
414 11 12 0
217 9 10 0
92 5 9 1
172 5 6 1
110 8 12 1
339 4 12 1
429 2 4 0
29 10 11 1...

output:

948753642

result:

ok 1 number(s): "948753642"

Test #10:

score: 0
Accepted
time: 220ms
memory: 9440kb

input:

14 500 500
362 4 12 1
225 5 9 1
428 5 9 1
101 8 10 1
488 5 9 0
249 11 14 1
232 2 6 1
220 4 10 1
20 7 13 1
154 4 13 1
480 8 14 0
9 2 4 1
201 7 10 1
174 10 11 0
169 13 14 0
256 10 12 1
403 11 13 0
492 10 14 0
167 6 12 1
123 11 13 1
471 9 10 0
77 5 9 1
51 6 10 1
411 11 14 1
422 11 13 0
7 1 7 1
284 5 11...

output:

103280588

result:

ok 1 number(s): "103280588"

Test #11:

score: 0
Accepted
time: 212ms
memory: 9440kb

input:

14 500 0

output:

750061283

result:

ok 1 number(s): "750061283"

Test #12:

score: 0
Accepted
time: 214ms
memory: 9512kb

input:

14 495 0

output:

662120858

result:

ok 1 number(s): "662120858"

Test #13:

score: 0
Accepted
time: 215ms
memory: 9376kb

input:

14 490 0

output:

456608006

result:

ok 1 number(s): "456608006"

Test #14:

score: 0
Accepted
time: 215ms
memory: 9484kb

input:

14 500 5
123 7 12 1
24 13 14 1
170 6 13 1
304 2 8 1
475 10 11 0

output:

715116697

result:

ok 1 number(s): "715116697"

Test #15:

score: 0
Accepted
time: 216ms
memory: 9444kb

input:

14 500 10
237 5 9 1
36 3 14 1
470 5 13 1
315 4 6 1
28 9 12 1
220 11 14 0
160 9 12 1
312 10 11 0
72 7 12 1
230 8 11 0

output:

434022866

result:

ok 1 number(s): "434022866"

Test #16:

score: 0
Accepted
time: 216ms
memory: 9432kb

input:

14 500 15
339 5 10 1
326 4 7 1
421 12 14 0
225 13 14 1
307 1 3 0
285 2 4 0
33 8 10 1
226 2 3 0
478 13 14 1
347 5 11 1
138 5 13 1
141 9 14 1
417 2 8 1
172 6 11 1
222 7 14 1

output:

268520991

result:

ok 1 number(s): "268520991"

Test #17:

score: 0
Accepted
time: 220ms
memory: 9444kb

input:

14 500 20
357 5 14 1
296 10 14 1
490 9 10 0
221 11 12 1
490 12 13 0
469 5 13 1
93 2 8 1
482 12 14 0
461 2 7 1
152 2 13 1
34 8 14 1
60 9 12 1
195 4 5 0
1 6 8 1
3 5 11 1
129 11 13 1
124 13 14 1
434 11 13 0
141 4 5 1
80 6 12 1

output:

691528902

result:

ok 1 number(s): "691528902"

Test #18:

score: 0
Accepted
time: 221ms
memory: 9516kb

input:

14 500 100
85 13 14 0
130 2 7 0
38 5 10 0
450 1 2 1
103 8 10 0
410 11 14 1
39 10 14 0
29 3 4 0
98 9 11 0
226 6 9 1
17 5 6 0
475 9 12 1
337 12 13 1
42 10 11 0
457 8 10 1
49 1 2 0
222 9 13 0
105 7 11 0
403 6 8 1
151 2 8 0
13 11 12 0
483 10 14 1
304 5 9 1
197 5 14 0
58 4 7 0
482 1 12 1
331 12 13 1
398 ...

output:

0

result:

ok 1 number(s): "0"

Test #19:

score: 0
Accepted
time: 8ms
memory: 9444kb

input:

14 498 200
457 10 13 0
163 6 10 0
23 2 5 0
109 5 8 0
113 12 14 0
294 10 12 0
1 10 14 0
451 1 2 0
275 1 13 0
345 10 14 0
171 2 9 0
392 8 11 0
184 13 14 0
328 10 11 0
84 10 13 0
238 6 12 0
306 6 13 0
56 8 14 0
404 10 14 0
90 3 10 0
446 12 14 0
303 9 11 0
71 11 12 0
362 10 13 0
405 13 14 1
258 4 13 0
1...

output:

0

result:

ok 1 number(s): "0"

Test #20:

score: 0
Accepted
time: 0ms
memory: 9356kb

input:

14 497 300
265 5 12 0
368 6 14 0
400 3 10 0
408 13 14 1
494 9 11 1
8 13 14 0
132 10 14 0
203 4 10 0
86 13 14 0
96 3 9 0
39 11 14 0
439 8 9 0
161 1 13 0
264 1 7 0
176 8 10 0
8 10 12 0
299 2 13 0
285 1 13 0
392 7 8 1
143 11 13 0
84 10 11 1
270 1 9 0
311 8 10 0
39 5 10 0
282 4 11 0
45 9 10 0
465 12 14 ...

output:

0

result:

ok 1 number(s): "0"

Test #21:

score: 0
Accepted
time: 4ms
memory: 9312kb

input:

14 499 500
349 7 10 0
440 11 13 0
391 5 11 0
461 8 10 1
172 12 14 0
139 5 10 0
79 3 4 0
456 10 11 0
276 11 14 0
484 5 6 1
178 11 13 0
295 8 11 0
384 3 8 0
112 9 11 0
170 3 7 0
490 12 14 1
243 7 9 0
360 4 7 0
302 10 12 0
266 5 8 0
350 8 12 0
282 7 12 0
480 7 11 1
312 10 13 0
356 13 14 0
277 4 5 0
245...

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 220ms
memory: 9420kb

input:

14 500 3
2 1 2 0
2 2 3 0
2 1 3 1

output:

0

result:

ok 1 number(s): "0"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

1 500 0

output:

1

result:

ok 1 number(s): "1"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

4 2 0

output:

17

result:

ok 1 number(s): "17"

Extra Test:

score: 0
Extra Test Passed