QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#101569#3082. Ascending MatrixWhaleAtColaAC ✓98ms5668kbC++143.1kb2023-04-30 11:53:412023-04-30 11:54:06

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-30 11:54:06]
  • 评测
  • 测评结果:AC
  • 用时:98ms
  • 内存:5668kb
  • [2023-04-30 11:53:41]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define re register
#define debug(...) fprintf(stderr,__VA_ARGS__)
typedef long long ll;
typedef double db;
inline ll win(){
	ll x=0;bool w=0;char c=getchar();
	while(c>'9'||c<'0') w|=c=='-',c=getchar();
	while(c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
	return w?-x:x;
}

const int N=333;
const ll mod=998244353ll;
struct qwe{
	int p,q;
	friend void operator +=(qwe &x,qwe y){x.p=(x.p+y.p)%mod,x.q=(x.q+y.q)%mod;}
	inline ll f(ll x){return (p+q*x)%mod;}
};

int n,m,v,rn,rm,px,py,pv,tid[N][N];
qwe f[N],sa[N][N];ll fac[N],inv[N],fin[N],a[N][N],vl[N],res[N],ans[N];

inline void sol(int sx,int sy,int sid){
//	debug("sol:%d %d %d\n",sx,sy,sid);
	for(re int i=1;i<=rn;++i) if(i==sx) f[i]=(qwe){py<sy,sy<=py};else f[i]=(qwe){0,0};
	for(re int j=sy;j<=rm;++j){
		if(j!=py) for(re int i=rn-1;i>=1;--i) f[i]+=f[i+1];
		else{
			f[px]=(qwe){0,0};
			for(re int i=1;i<px;++i) f[i].q=(f[i].q+f[i].p)%mod,f[i].p=0;
			for(re int i=px+1;i<=rn;++i) f[i].p=(f[i].p+f[i].q)%mod,f[i].q=0;
			for(re int i=rn-1;i>=1;--i) if(i!=px) f[i]+=f[i+1];
		}
//		for(re int i=1;i<=rn;++i) debug("(%d,%d)%c",f[i].q,f[i].p," \n"[i==rn]);
		for(re int i=1;i<=rn;++i) if(tid[i][j]) sa[sid][tid[i][j]]=f[i];
	}
}

inline void swpl(int x,int y,int i){for(;i<=n;++i) swap(a[x][i],a[y][i]);}
inline ll det(ll x){
	for(re int i=1;i<=n;++i) for(re int j=1;j<=n;++j) a[i][j]=sa[i][j].f(x);
	ll tmp=0;int fl=0;
	for(re int i=1,p;i<=n;++i){
		p=i;
		while(p<=n&&!a[p][i]) ++p;
		if(p>n) return 0;
		if(p!=i) swpl(p,i,i),fl^=1;
		for(re int j=i+1;j<=n;++j){
			if(a[j][i]>a[i][i]) swpl(j,i,i),fl^=1;
			while(a[j][i]){
				tmp=mod-a[i][i]/a[j][i];
				for(re int k=i;k<=n;++k)
					a[i][k]=(a[i][k]+a[j][k]*tmp)%mod;
				swpl(j,i,i),fl^=1;
			}
		}
	}
	tmp=1;
	for(re int i=1;i<=n;++i) tmp=tmp*a[i][i]%mod;
	return tmp?fl?mod-tmp:tmp:0;
}

inline void init(int l){
	fac[0]=inv[0]=inv[1]=fin[0]=1;
	for(re int i=1;i<=l;++i) fac[i]=fac[i-1]*i%mod;
	for(re int i=2;i<=l;++i) inv[i]=(mod-mod/i)*inv[mod%i]%mod;
	for(re int i=1;i<=l;++i) fin[i]=fin[i-1]*inv[i]%mod;
}

inline void rmain(){
	n=win(),m=win(),v=win(),rn=n+v-1,rm=m+v-1,px=win(),py=win(),pv=win(),px=px+pv-1,py=py+pv-1;
	if(v==1) return puts("1"),void();
	for(re int i=1;i<v;++i) tid[i][i+m]=i;
	for(re int i=1;i<v;++i) sol(i+n,i,i);
//	for(re int i=1;i<v;++i) for(re int j=1;j<v;++j) debug("%d %d:%d %d\n",i,j,sa[i][j].q,sa[i][j].p);
	n=v-1,init(v),res[0]=1;ll tmp=0;
	for(re int i=1;i<=v;++i) vl[i]=det(i);
//	for(re int i=1;i<=v;++i) debug("%d:%lld\n",i,vl[i]);
	for(re int i=1;i<=v;++i) for(re int j=i-1;j>=0;--j)
		res[j+1]=(res[j+1]+res[j])%mod,res[j]=res[j]*(mod-i)%mod;
	for(re int i=1;i<=v;++i){
		tmp=vl[i]*fin[i-1]%mod*fin[v-i]%mod;
		if((n+1-i)&1) tmp=mod-tmp;
		for(re int j=0;j<=n;++j)
			res[j]=res[j]*(mod-inv[i])%mod,res[j+1]=(res[j+1]+mod-res[j])%mod;
		for(re int j=0;j<=n;++j) ans[j]=(ans[j]+res[j]*tmp)%mod;
		for(re int j=n;j>=0;--j)
			res[j+1]=(res[j+1]+res[j])%mod,res[j]=res[j]*(mod-i)%mod;
	}
	printf("%lld\n",ans[pv-1]);
}

signed main(){
//	int T=win();while(T--)
	rmain();
	return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 15ms
memory: 3892kb

input:

148 129 48 144 105 13

output:

467058311

result:

ok single line: '467058311'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3876kb

input:

57 48 11 56 9 1

output:

951177245

result:

ok single line: '951177245'

Test #3:

score: 0
Accepted
time: 39ms
memory: 4216kb

input:

121 146 72 117 72 25

output:

284798523

result:

ok single line: '284798523'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3872kb

input:

66 142 11 51 124 4

output:

542285716

result:

ok single line: '542285716'

Test #5:

score: 0
Accepted
time: 92ms
memory: 4164kb

input:

45 127 98 3 31 80

output:

116902187

result:

ok single line: '116902187'

Test #6:

score: 0
Accepted
time: 14ms
memory: 4040kb

input:

125 199 45 51 91 21

output:

715355617

result:

ok single line: '715355617'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

41 153 6 6 147 2

output:

190519561

result:

ok single line: '190519561'

Test #8:

score: 0
Accepted
time: 32ms
memory: 4176kb

input:

112 108 69 99 29 47

output:

481688971

result:

ok single line: '481688971'

Test #9:

score: 0
Accepted
time: 80ms
memory: 4196kb

input:

138 99 94 73 43 73

output:

667469005

result:

ok single line: '667469005'

Test #10:

score: 0
Accepted
time: 4ms
memory: 3800kb

input:

143 147 18 24 141 9

output:

763965115

result:

ok single line: '763965115'

Test #11:

score: 0
Accepted
time: 82ms
memory: 4216kb

input:

99 63 97 78 51 66

output:

130195301

result:

ok single line: '130195301'

Test #12:

score: 0
Accepted
time: 0ms
memory: 5668kb

input:

103 23 10 25 7 4

output:

674555733

result:

ok single line: '674555733'

Test #13:

score: 0
Accepted
time: 13ms
memory: 4016kb

input:

137 194 42 125 104 17

output:

416667361

result:

ok single line: '416667361'

Test #14:

score: 0
Accepted
time: 2ms
memory: 3784kb

input:

191 13 37 42 2 21

output:

530754407

result:

ok single line: '530754407'

Test #15:

score: 0
Accepted
time: 13ms
memory: 3884kb

input:

195 33 53 101 29 32

output:

851306824

result:

ok single line: '851306824'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

84 173 8 70 70 6

output:

25135799

result:

ok single line: '25135799'

Test #17:

score: 0
Accepted
time: 10ms
memory: 4116kb

input:

39 53 49 37 6 9

output:

640044940

result:

ok single line: '640044940'

Test #18:

score: 0
Accepted
time: 34ms
memory: 4244kb

input:

135 129 68 134 86 16

output:

910022919

result:

ok single line: '910022919'

Test #19:

score: 0
Accepted
time: 15ms
memory: 4160kb

input:

62 74 56 28 12 46

output:

774987233

result:

ok single line: '774987233'

Test #20:

score: 0
Accepted
time: 49ms
memory: 4080kb

input:

87 135 81 27 44 58

output:

629485683

result:

ok single line: '629485683'

Test #21:

score: 0
Accepted
time: 16ms
memory: 3840kb

input:

148 199 44 79 81 40

output:

369408819

result:

ok single line: '369408819'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

18 195 5 17 151 5

output:

198068951

result:

ok single line: '198068951'

Test #23:

score: 0
Accepted
time: 49ms
memory: 4112kb

input:

200 137 75 67 65 74

output:

864017958

result:

ok single line: '864017958'

Test #24:

score: 0
Accepted
time: 23ms
memory: 3988kb

input:

171 162 56 113 97 30

output:

255341800

result:

ok single line: '255341800'

Test #25:

score: 0
Accepted
time: 5ms
memory: 3872kb

input:

8 134 38 1 93 10

output:

282048962

result:

ok single line: '282048962'

Test #26:

score: 0
Accepted
time: 62ms
memory: 4288kb

input:

13 55 93 3 25 40

output:

852404927

result:

ok single line: '852404927'

Test #27:

score: 0
Accepted
time: 10ms
memory: 3768kb

input:

169 157 42 77 108 39

output:

595819517

result:

ok single line: '595819517'

Test #28:

score: 0
Accepted
time: 65ms
memory: 4060kb

input:

41 199 87 18 82 58

output:

698977796

result:

ok single line: '698977796'

Test #29:

score: 0
Accepted
time: 19ms
memory: 3988kb

input:

190 68 57 188 59 15

output:

46174623

result:

ok single line: '46174623'

Test #30:

score: 0
Accepted
time: 30ms
memory: 4048kb

input:

90 52 71 39 41 23

output:

417181087

result:

ok single line: '417181087'

Test #31:

score: 0
Accepted
time: 63ms
memory: 4300kb

input:

108 76 89 55 40 13

output:

210578964

result:

ok single line: '210578964'

Test #32:

score: 0
Accepted
time: 3ms
memory: 3784kb

input:

166 191 27 102 30 11

output:

365224233

result:

ok single line: '365224233'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

41 166 4 10 49 2

output:

245797147

result:

ok single line: '245797147'

Test #34:

score: 0
Accepted
time: 47ms
memory: 4260kb

input:

135 128 79 44 16 6

output:

203896980

result:

ok single line: '203896980'

Test #35:

score: 0
Accepted
time: 47ms
memory: 4068kb

input:

101 193 79 43 65 75

output:

27637457

result:

ok single line: '27637457'

Test #36:

score: 0
Accepted
time: 14ms
memory: 3948kb

input:

88 81 53 35 54 47

output:

950708598

result:

ok single line: '950708598'

Test #37:

score: 0
Accepted
time: 4ms
memory: 3920kb

input:

87 40 28 37 8 8

output:

817953396

result:

ok single line: '817953396'

Test #38:

score: 0
Accepted
time: 93ms
memory: 4244kb

input:

193 136 94 12 94 23

output:

145619900

result:

ok single line: '145619900'

Test #39:

score: 0
Accepted
time: 33ms
memory: 4056kb

input:

90 183 67 8 171 26

output:

899333159

result:

ok single line: '899333159'

Test #40:

score: 0
Accepted
time: 7ms
memory: 3756kb

input:

107 178 32 24 103 12

output:

82019799

result:

ok single line: '82019799'

Test #41:

score: 0
Accepted
time: 15ms
memory: 4032kb

input:

160 23 61 60 17 3

output:

350971684

result:

ok single line: '350971684'

Test #42:

score: 0
Accepted
time: 3ms
memory: 3784kb

input:

100 176 10 54 58 4

output:

978823166

result:

ok single line: '978823166'

Test #43:

score: 0
Accepted
time: 14ms
memory: 3768kb

input:

181 183 42 7 91 41

output:

690262327

result:

ok single line: '690262327'

Test #44:

score: 0
Accepted
time: 13ms
memory: 4100kb

input:

105 131 47 53 68 33

output:

806603020

result:

ok single line: '806603020'

Test #45:

score: 0
Accepted
time: 35ms
memory: 4340kb

input:

51 10 100 1 5 73

output:

341852925

result:

ok single line: '341852925'

Test #46:

score: 0
Accepted
time: 41ms
memory: 4052kb

input:

87 198 73 75 109 72

output:

741170008

result:

ok single line: '741170008'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

25 158 13 22 1 1

output:

237363061

result:

ok single line: '237363061'

Test #48:

score: 0
Accepted
time: 33ms
memory: 4208kb

input:

64 112 71 28 109 10

output:

350168232

result:

ok single line: '350168232'

Test #49:

score: 0
Accepted
time: 15ms
memory: 3884kb

input:

143 191 52 10 98 10

output:

71885894

result:

ok single line: '71885894'

Test #50:

score: 0
Accepted
time: 5ms
memory: 3780kb

input:

30 130 36 22 85 6

output:

909971212

result:

ok single line: '909971212'

Test #51:

score: 0
Accepted
time: 12ms
memory: 3820kb

input:

154 136 38 34 109 15

output:

655764791

result:

ok single line: '655764791'

Test #52:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

13 112 7 9 55 1

output:

623849663

result:

ok single line: '623849663'

Test #53:

score: 0
Accepted
time: 12ms
memory: 3800kb

input:

137 103 47 56 77 35

output:

43033659

result:

ok single line: '43033659'

Test #54:

score: 0
Accepted
time: 3ms
memory: 3784kb

input:

40 17 37 11 7 15

output:

803046927

result:

ok single line: '803046927'

Test #55:

score: 0
Accepted
time: 7ms
memory: 3980kb

input:

166 14 58 49 1 26

output:

664593299

result:

ok single line: '664593299'

Test #56:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

88 195 15 10 120 5

output:

925522664

result:

ok single line: '925522664'

Test #57:

score: 0
Accepted
time: 96ms
memory: 4424kb

input:

164 166 96 161 138 32

output:

111053370

result:

ok single line: '111053370'

Test #58:

score: 0
Accepted
time: 89ms
memory: 4116kb

input:

145 135 94 68 83 9

output:

394110532

result:

ok single line: '394110532'

Test #59:

score: 0
Accepted
time: 28ms
memory: 4024kb

input:

154 173 63 5 77 51

output:

540440686

result:

ok single line: '540440686'

Test #60:

score: 0
Accepted
time: 4ms
memory: 3680kb

input:

20 91 30 20 83 17

output:

961395776

result:

ok single line: '961395776'

Test #61:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

144 39 13 77 9 5

output:

99731481

result:

ok single line: '99731481'

Test #62:

score: 0
Accepted
time: 57ms
memory: 4228kb

input:

87 152 83 4 59 81

output:

139490896

result:

ok single line: '139490896'

Test #63:

score: 0
Accepted
time: 77ms
memory: 4080kb

input:

171 135 89 114 124 10

output:

736020363

result:

ok single line: '736020363'

Test #64:

score: 0
Accepted
time: 66ms
memory: 4144kb

input:

82 41 99 66 6 5

output:

882042301

result:

ok single line: '882042301'

Test #65:

score: 0
Accepted
time: 5ms
memory: 3680kb

input:

33 114 28 11 73 11

output:

653378940

result:

ok single line: '653378940'

Test #66:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

180 73 10 43 63 9

output:

170492767

result:

ok single line: '170492767'

Test #67:

score: 0
Accepted
time: 24ms
memory: 3956kb

input:

33 185 63 19 107 7

output:

907253908

result:

ok single line: '907253908'

Test #68:

score: 0
Accepted
time: 3ms
memory: 3624kb

input:

69 90 22 34 31 3

output:

137223161

result:

ok single line: '137223161'

Test #69:

score: 0
Accepted
time: 17ms
memory: 4004kb

input:

42 45 60 29 38 36

output:

99908563

result:

ok single line: '99908563'

Test #70:

score: 0
Accepted
time: 6ms
memory: 3764kb

input:

69 158 34 56 39 17

output:

681472254

result:

ok single line: '681472254'

Test #71:

score: 0
Accepted
time: 53ms
memory: 4028kb

input:

66 69 84 5 8 41

output:

277373736

result:

ok single line: '277373736'

Test #72:

score: 0
Accepted
time: 23ms
memory: 4064kb

input:

168 31 68 66 4 21

output:

528816013

result:

ok single line: '528816013'

Test #73:

score: 0
Accepted
time: 50ms
memory: 4096kb

input:

65 33 94 2 30 76

output:

331224077

result:

ok single line: '331224077'

Test #74:

score: 0
Accepted
time: 2ms
memory: 3824kb

input:

84 111 12 28 106 12

output:

95279945

result:

ok single line: '95279945'

Test #75:

score: 0
Accepted
time: 53ms
memory: 4036kb

input:

102 77 83 95 62 51

output:

773914979

result:

ok single line: '773914979'

Test #76:

score: 0
Accepted
time: 37ms
memory: 4220kb

input:

113 144 76 24 68 13

output:

845242590

result:

ok single line: '845242590'

Test #77:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

45 24 9 10 2 5

output:

71790514

result:

ok single line: '71790514'

Test #78:

score: 0
Accepted
time: 24ms
memory: 4080kb

input:

158 98 61 86 50 29

output:

123475901

result:

ok single line: '123475901'

Test #79:

score: 0
Accepted
time: 4ms
memory: 3752kb

input:

118 52 27 11 23 21

output:

489202572

result:

ok single line: '489202572'

Test #80:

score: 0
Accepted
time: 4ms
memory: 3852kb

input:

122 148 35 112 17 17

output:

856169627

result:

ok single line: '856169627'

Test #81:

score: 0
Accepted
time: 3ms
memory: 3640kb

input:

135 114 15 20 43 9

output:

873320383

result:

ok single line: '873320383'

Test #82:

score: 0
Accepted
time: 50ms
memory: 4168kb

input:

89 70 84 70 12 18

output:

302990320

result:

ok single line: '302990320'

Test #83:

score: 0
Accepted
time: 20ms
memory: 3980kb

input:

15 68 67 5 51 66

output:

980298686

result:

ok single line: '980298686'

Test #84:

score: 0
Accepted
time: 11ms
memory: 3964kb

input:

50 2 73 40 2 8

output:

550497760

result:

ok single line: '550497760'

Test #85:

score: 0
Accepted
time: 55ms
memory: 4088kb

input:

117 88 83 93 1 50

output:

645491986

result:

ok single line: '645491986'

Test #86:

score: 0
Accepted
time: 12ms
memory: 3932kb

input:

45 173 54 34 93 3

output:

330947509

result:

ok single line: '330947509'

Test #87:

score: 0
Accepted
time: 3ms
memory: 3772kb

input:

39 10 22 34 6 20

output:

184357429

result:

ok single line: '184357429'

Test #88:

score: 0
Accepted
time: 22ms
memory: 3980kb

input:

58 27 71 55 19 22

output:

201813851

result:

ok single line: '201813851'

Test #89:

score: 0
Accepted
time: 2ms
memory: 3836kb

input:

123 57 40 14 38 23

output:

891805630

result:

ok single line: '891805630'

Test #90:

score: 0
Accepted
time: 26ms
memory: 4064kb

input:

84 64 70 12 2 23

output:

351372969

result:

ok single line: '351372969'

Test #91:

score: 0
Accepted
time: 35ms
memory: 4012kb

input:

46 160 72 21 146 9

output:

625614461

result:

ok single line: '625614461'

Test #92:

score: 0
Accepted
time: 13ms
memory: 4120kb

input:

45 99 57 25 40 4

output:

498175745

result:

ok single line: '498175745'

Test #93:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

15 21 12 14 6 3

output:

727195216

result:

ok single line: '727195216'

Test #94:

score: 0
Accepted
time: 3ms
memory: 3760kb

input:

154 77 32 73 62 15

output:

513610382

result:

ok single line: '513610382'

Test #95:

score: 0
Accepted
time: 4ms
memory: 3584kb

input:

165 97 16 158 69 11

output:

308621770

result:

ok single line: '308621770'

Test #96:

score: 0
Accepted
time: 98ms
memory: 4360kb

input:

146 128 97 132 24 10

output:

751957330

result:

ok single line: '751957330'

Test #97:

score: 0
Accepted
time: 5ms
memory: 3764kb

input:

49 39 35 2 10 14

output:

338882448

result:

ok single line: '338882448'

Test #98:

score: 0
Accepted
time: 6ms
memory: 4088kb

input:

73 1 73 35 1 44

output:

126891463

result:

ok single line: '126891463'

Test #99:

score: 0
Accepted
time: 15ms
memory: 3988kb

input:

69 82 59 1 73 1

output:

436743471

result:

ok single line: '436743471'

Test #100:

score: 0
Accepted
time: 8ms
memory: 3736kb

input:

88 86 40 19 77 4

output:

758000538

result:

ok single line: '758000538'