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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#296771#7858. Basic Equation SolvingDualqwqTL 7229ms4724kbC++204.0kb2024-01-03 16:08:032024-01-03 16:08:03

Judging History

你现在查看的是测评时间为 2024-01-03 16:08:03 的历史记录

  • [2024-03-20 11:12:35]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:TL
  • 用时:7083ms
  • 内存:4652kb
  • [2024-03-20 11:12:17]
  • hack成功,自动添加数据
  • (/hack/581)
  • [2024-01-03 16:08:03]
  • 评测
  • 测评结果:100
  • 用时:7229ms
  • 内存:4724kb
  • [2024-01-03 16:08:03]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int N = 15,M = 40,Sz = 1 << 11,P = 998244353;
inline void Plus(int &x,const int &y) { x += y;if(x >= P) x -= P;}
int n;
string s1[N],s2[N];
char opp[N];
int nq[N];
inline int Id(char x) { return isdigit(x) ? x - '0' : x - 'A' + 10;}
int ufs[M];
int find(int x) { return ufs[x] == x ? x : ufs[x] = find(ufs[x]);}
inline void Merge(int x,int y) { ufs[find(x)] = find(y);}
int tot,X[N],Y[N]; // X[i] < Y[i]
vector<int> can[Sz]; // 预处理把 T 放在 S 中的最后是否可行,3^V * n
vector<int> con[M];
bool dig[Sz][10];
inline bool buildlim() {
	for(int i = 0;i < M;i++) ufs[i] = i;
	tot = 0;
	for(int i = 1;i <= n;i++) if(opp[i] != '=') {
		for(int j = 0;j < nq[i];j++)
			Merge(Id(s1[i][j]),Id(s2[i][j]));
		++tot,X[tot] = Id(s1[i][nq[i]]),Y[tot] = Id(s2[i][nq[i]]);
		if(opp[i] == '>') swap(X[tot],Y[tot]);
	} else for(int j = 0;j < s1[i].size();j++) Merge(Id(s1[i][j]),Id(s2[i][j]));
	for(int i = 0;i < M;i++) con[i].clear();
	for(int i = 1;i <= tot;i++) if(find(X[i]) == find(Y[i])) return false;
	for(int i = 0;i < 10;i++)
		for(int j = i + 1;j < 10;j++) if(find(i) == find(j)) return false;
	for(int i = 1;i <= tot;i++) {
		X[i] = find(X[i]);Y[i] = find(Y[i]);
		con[X[i]].push_back(Y[i]),con[Y[i]].push_back(X[i]);
	}
	return true;
}
int bel[M],idcnt;
int dp[10][Sz];
inline int Calc0(vector<int> V) {
	int siz = V.size();idcnt = 0;
	// printf("siz:%d\n",siz);
	for(int i = 0;i < M;i++) bel[i] = -1;
	for(auto i : V) bel[i] = idcnt++;
	for(int i = 0;i < (1 << siz);i++) {
		int cnt = __builtin_popcount(i);
		can[i].clear();can[i].resize(1 << cnt);
		for(int j = i,d = 0;j;j = (j - 1) & i,++d) {
			can[i][d] = true;
			for(int k = 1;k <= tot;k++)
				if(bel[X[k]] != -1 && bel[Y[k]] != -1 && (j >> bel[X[k]] & 1) && ((i - j >> bel[Y[k]]) & 1))
					can[i][d] = false;
		}
	}
	for(int i = 0;i < (1 << siz);++i) {
		for(int j = 0;j < 10;j++) dig[i][j] = true;
		int c1 = -1,c2 = -1;
		for(int j = 0;j < 10;j++) if(bel[find(j)] != -1 && (i >> bel[find(j)] & 1)) {
			if(c1 == -1) c1 = j;
			else c2 = j;
		}
		for(int k = 1;k <= tot;k++)
			if(bel[X[k]] != -1 && bel[Y[k]] != -1 && (i >> bel[X[k]] & 1) && (i >> bel[Y[k]] & 1)) {
				for(int j = 0;j < 10;j++) dig[i][j] = false;
				break;
			}
		if(c2 != -1) for(int j = 0;j < 10;j++) dig[i][j] = false;
		else if(c1 != -1) for(int j = 0;j < 10;j++) if(j != c1) dig[i][j] = false;
	}	
	for(int i = 0;i <= 9;i++) for(int j = 0;j < (1 << siz);++j) dp[i][j] = 0;
	for(int i = 0;i < (1 << siz);i++) if(dig[i][0])  dp[0][i] = 1;
	for(int i = 1;i <= 9;i++)
		for(int j = 0;j < (1 << siz);++j) {
			Plus(dp[i][j],dp[i - 1][j]);
			for(int k = j,d = 0;k;k = (k - 1) & j,++d)
				if(can[j][d] && dig[k][i]) Plus(dp[i][j],dp[i - 1][j - k]);
		}
	return dp[9][(1 << siz) - 1];
}
vector<int> cv;
bool usd[M];
void dfs0(int x) {
	usd[x] = true;cv.push_back(x);
	for(auto y : con[x])
		if(!usd[y]) dfs0(y);
}
inline int Calcnq() {
	int mul = 1;
	if(!buildlim()) return 0;
	// printf("nq1:%d,%d,%d,%d\n",nq[1]);
	for(int i = 0;i < M;i++) usd[i] = 0;
	for(int i = 0;i < 36;i++) if(find(i) == i && !usd[i]) {
		cv.clear();dfs0(i);//printf("i:%d\n",i);
		// printf("Calc0:%d\n",Calc0(cv));
		mul = 1ll * mul * Calc0(cv) % P;
	}
	return mul;
}
int ans = 0;
void dfsnq(int x) {
	if(x == n + 1) { Plus(ans,Calcnq());return;}
	if(opp[x] != '=') for(int i = 0;i < s1[x].size();i++) { nq[x] = i;dfsnq(x + 1);nq[x] = -1;}
	else dfsnq(x + 1);
}
int main() {
	cin >> n;
	for(int i = 1;i <= n;i++) {
		string limit;
		cin >> limit;
		int len = limit.size(),pos = 0;
		for(int j = 0;j < len;j++) if(!isdigit(limit[j]) && !isalpha(limit[j])) { opp[i] = limit[j];pos = j;break;}
		s1[i] = limit.substr(0,pos);
		s2[i] = limit.substr(pos + 1,(int)limit.size() - pos - 1);
		while(s1[i].size() < s2[i].size()) s1[i] = '0' + s1[i];
		while(s1[i].size() > s2[i].size()) s2[i] = '0' + s2[i];
		// printf("s1:%s,s2:%s\n",s1[i].c_str(),s2[i].c_str());
	}
	dfsnq(1);
	cout << ans << endl;
	return 0;
}








//start: 2024.1.3 15:09

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: 0ms
memory: 3700kb

input:

1
P=NP

output:

766136394

result:

ok single line: '766136394'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

1
2000CNY>3000USD

output:

0

result:

ok single line: '0'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

4
AB>CD
E<A
BC>FF
EF>F1

output:

23645065

result:

ok single line: '23645065'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

2
BC>DD
BD<EA

output:

27271695

result:

ok single line: '27271695'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

3
CE>ED
CC>BA
BB<AC

output:

426829091

result:

ok single line: '426829091'

Test #6:

score: 0
Accepted
time: 78ms
memory: 4472kb

input:

10
KG<EI
EJ>DA
EB<IH
EB>JG
KF<CF
JC>FC
IC<BJ
FI>HH
KD>AH
AE>GJ

output:

87744507

result:

ok single line: '87744507'

Test #7:

score: 0
Accepted
time: 207ms
memory: 4448kb

input:

10
EK<GM
EL<DC
DH>IH
EF>BL
IM<LL
EH<JA
DJ<AL
GL>MB
DB>FM
AI<HA

output:

665533468

result:

ok single line: '665533468'

Test #8:

score: 0
Accepted
time: 552ms
memory: 4456kb

input:

10
OD<FK
FJ>NL
NH>KB
KM>CA
CI>JH
CI<AH
CE>GI
CO<EG
FA>HA
FA<IJ

output:

878923575

result:

ok single line: '878923575'

Test #9:

score: 0
Accepted
time: 7059ms
memory: 4664kb

input:

10
YH>UQ
UQ>FD
YZ>MK
FY<GO
YV<QW
UV<VJ
UZ>EB
EQ>LX
VP>ZF
LZ>TS

output:

867624189

result:

ok single line: '867624189'

Test #10:

score: 0
Accepted
time: 7229ms
memory: 4724kb

input:

10
YH<UL
UD<FY
FK<MU
MM<GO
GG<QW
QJ<VQ
VZ<EB
EG<LX
LZ<ZP
ZV<TS

output:

57935948

result:

ok single line: '57935948'

Test #11:

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

input:

6
EDDC>AB5A
B<C
E9A9B>CACAA
DE2>A0D
DBCDAC>AED3D5
AAA>BB5

output:

169889581

result:

ok single line: '169889581'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3724kb

input:

9
C<B
A>B
FDF2<FBDB
DB>B4
CF>DA
EF4<D1A
B8<A5
B3>BF
FFA<D5B

output:

0

result:

ok single line: '0'

Test #13:

score: 0
Accepted
time: 10ms
memory: 3704kb

input:

5
SP6<GCT
J0RFZ<ZZLUX
UDY7<UEVX
C1CQ>FXTG
SOCT07<MEABU8

output:

603602671

result:

ok single line: '603602671'

Test #14:

score: 0
Accepted
time: 19ms
memory: 3724kb

input:

7
F>M
G8F<KC5
F06<E8G
H5J<BJE
M8CDE<DIGMC
AE08>EFI7
DM>CI

output:

821791712

result:

ok single line: '821791712'

Test #15:

score: 0
Accepted
time: 7ms
memory: 3680kb

input:

10
PS1>O9O
G76>F8S
J<S
SB>Y4
WS<VM
E<N
ZR<CV
G8T>XPJ
J<A
KT<LS

output:

97272892

result:

ok single line: '97272892'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

4
K1TVV0>TOB4QTH
E5U5C9>QGDEGU
Q9LW3SK>LWFRP
DXUQM=V4N4

output:

467745652

result:

ok single line: '467745652'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3648kb

input:

5
BC5F<AC3F
FA4<D48306EDD
EFDD>FDABE
CF5C<AFDDB
FAF<C387

output:

808992671

result:

ok single line: '808992671'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

1
ABCDEFGHIJKLMNOPQRSTUVWX>BCDEFGHIJKLMNOPQRSTUVWXY

output:

835948861

result:

ok single line: '835948861'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

3
A=A
00109=109
XX=Z

output:

276262510

result:

ok single line: '276262510'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

2
ABCDEFGHIJKL=CDEFGHIJKLMN
OPQRSTUVWXYZ=RSTUVWXYZOPQ

output:

100000

result:

ok single line: '100000'

Test #21:

score: 0
Accepted
time: 29ms
memory: 4028kb

input:

9
N=A8
TT<QO3G
LS>JV
TSG>U5F
D<A934
FK<HKG
O>S1
GT<BBCX
SG>S

output:

929594610

result:

ok single line: '929594610'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

0

output:

673653469

result:

ok single line: '673653469'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

3
AB<CD
AC<BD
AD<BC

output:

219041723

result:

ok single line: '219041723'

Extra Test:

score: 0
Extra Test Passed