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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#476001#3082. Ascending Matrixliujunyi123AC ✓58ms8744kbC++142.1kb2024-07-13 17:29:042024-07-13 17:29:04

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你现在查看的是最新测评结果

  • [2024-07-13 17:29:04]
  • 评测
  • 测评结果:AC
  • 用时:58ms
  • 内存:8744kb
  • [2024-07-13 17:29:04]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;
const int N=505,mod=998244353;
int n,m,k,h,w,V,fac[N],inv[N],e[N][N],b[N][N],f[N][N],g[N][N],c[N];
int ksm(int a,int b=mod-2){int s=1;
	for(;b;b>>=1,a=1ll*a*a%mod)if(b&1)s=1ll*s*a%mod;
	return s;
}
void qm(int &x,int y){x+=y;if(x>=mod)x-=mod;}
int det(int a[N][N],int n){int sum=1;
	for(int i=1;i<=n;i++){int p=i;
		for(int j=i;j<=n;j++)if(a[j][i]){p=j;break ;}
		if(p!=i)swap(a[p],a[i]),sum=-sum;
		int tmp=ksm(a[i][i]);
		for(int j=i+1;j<=n;j++){
			int x=1ll*a[j][i]*tmp%mod;
			for(int k=i;k<=n;k++)qm(a[j][k],mod-1ll*x*a[i][k]%mod);
		}
		sum=1ll*a[i][i]*sum%mod;
//		cout<<i<<" "<<a[i][i]<<endl;
	}
	return (sum+mod)%mod;	
}
int C(int n,int m){return 1ll*fac[n]*inv[n-m]%mod*inv[m]%mod;} 
int calc(int a,int b,int x,int y){
	if(x>a||y<b)return 0;
	return C(a-x+y-b,a-x);
}
void gauss(int n){
	for(int i=1;i<=n;i++){
		int tmp=ksm(b[i][i]);
		for(int j=i+1;j<=n;j++){
			int x=1ll*b[j][i]*tmp%mod;
			for(int k=i;k<=n+1;k++)qm(b[j][k],mod-1ll*x*b[i][k]%mod);
		}
	}
	for(int i=n;i>=1;i--){int x=b[i][n+1];
		for(int j=i+1;j<=n;j++)qm(x,mod-1ll*c[j]*b[i][j]%mod);
		c[i]=1ll*x*ksm(b[i][i])%mod;
//		cout<<i<<" "<<b[i][n+1]<<" "<<b[i][i]<<endl;
	}
}
signed main(){fac[0]=1;
	for(int i=1;i<=N-1;i++)fac[i]=1ll*fac[i-1]*i%mod;
	inv[N-1]=ksm(fac[N-1]);
	for(int i=N-1;i>=1;i--)inv[i-1]=1ll*inv[i]*i%mod;
	scanf("%lld%lld%lld%lld%lld%lld",&n,&m,&k,&h,&w,&V),h+=V-2,w+=V-2,k--;
//	cout<<h<<" "<<w<<endl;
	for(int i=1;i<=k;i++){
		for(int j=1;j<=k;j++){
			g[i][j]=calc(n+i-1,i-1,j-1,m+j-1);
			qm(g[i][j],mod-1ll*calc(n+i-1,i-1,h,w)*calc(h,w,j-1,m+j-1)%mod);
			for(int d=1;d<=h&&d<=w;d++){
				int x=h-d,y=w-d;
				int res=1ll*calc(n+i-1,i-1,x,y)*calc(x,y,j-1,m+j-1)%mod;
				qm(f[i][j],res),qm(g[i][j],mod-res);
			}
		}
	}
	for(int t=1;t<=k+1;t++){
		for(int i=1;i<=k+1;i++)b[t][i]=ksm(t,i-1);
		for(int i=1;i<=k;i++){
			for(int j=1;j<=k;j++){
				e[i][j]=(1ll*f[i][j]*t%mod+g[i][j])%mod;
			}
		}b[t][k+2]=det(e,k);
	}
	gauss(k+1);
	printf("%lld\n",c[V]);
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 6ms
memory: 8248kb

input:

148 129 48 144 105 13

output:

467058311

result:

ok single line: '467058311'

Test #2:

score: 0
Accepted
time: 1ms
memory: 8128kb

input:

57 48 11 56 9 1

output:

951177245

result:

ok single line: '951177245'

Test #3:

score: 0
Accepted
time: 20ms
memory: 8556kb

input:

121 146 72 117 72 25

output:

284798523

result:

ok single line: '284798523'

Test #4:

score: 0
Accepted
time: 1ms
memory: 8080kb

input:

66 142 11 51 124 4

output:

542285716

result:

ok single line: '542285716'

Test #5:

score: 0
Accepted
time: 56ms
memory: 7064kb

input:

45 127 98 3 31 80

output:

116902187

result:

ok single line: '116902187'

Test #6:

score: 0
Accepted
time: 4ms
memory: 8224kb

input:

125 199 45 51 91 21

output:

715355617

result:

ok single line: '715355617'

Test #7:

score: 0
Accepted
time: 1ms
memory: 8040kb

input:

41 153 6 6 147 2

output:

190519561

result:

ok single line: '190519561'

Test #8:

score: 0
Accepted
time: 16ms
memory: 8596kb

input:

112 108 69 99 29 47

output:

481688971

result:

ok single line: '481688971'

Test #9:

score: 0
Accepted
time: 50ms
memory: 8612kb

input:

138 99 94 73 43 73

output:

667469005

result:

ok single line: '667469005'

Test #10:

score: 0
Accepted
time: 0ms
memory: 8028kb

input:

143 147 18 24 141 9

output:

763965115

result:

ok single line: '763965115'

Test #11:

score: 0
Accepted
time: 55ms
memory: 8628kb

input:

99 63 97 78 51 66

output:

130195301

result:

ok single line: '130195301'

Test #12:

score: 0
Accepted
time: 1ms
memory: 5900kb

input:

103 23 10 25 7 4

output:

674555733

result:

ok single line: '674555733'

Test #13:

score: 0
Accepted
time: 4ms
memory: 8196kb

input:

137 194 42 125 104 17

output:

416667361

result:

ok single line: '416667361'

Test #14:

score: 0
Accepted
time: 2ms
memory: 8248kb

input:

191 13 37 42 2 21

output:

530754407

result:

ok single line: '530754407'

Test #15:

score: 0
Accepted
time: 3ms
memory: 6472kb

input:

195 33 53 101 29 32

output:

851306824

result:

ok single line: '851306824'

Test #16:

score: 0
Accepted
time: 1ms
memory: 7984kb

input:

84 173 8 70 70 6

output:

25135799

result:

ok single line: '25135799'

Test #17:

score: 0
Accepted
time: 5ms
memory: 8396kb

input:

39 53 49 37 6 9

output:

640044940

result:

ok single line: '640044940'

Test #18:

score: 0
Accepted
time: 16ms
memory: 8592kb

input:

135 129 68 134 86 16

output:

910022919

result:

ok single line: '910022919'

Test #19:

score: 0
Accepted
time: 8ms
memory: 8492kb

input:

62 74 56 28 12 46

output:

774987233

result:

ok single line: '774987233'

Test #20:

score: 0
Accepted
time: 28ms
memory: 8644kb

input:

87 135 81 27 44 58

output:

629485683

result:

ok single line: '629485683'

Test #21:

score: 0
Accepted
time: 5ms
memory: 8356kb

input:

148 199 44 79 81 40

output:

369408819

result:

ok single line: '369408819'

Test #22:

score: 0
Accepted
time: 1ms
memory: 5956kb

input:

18 195 5 17 151 5

output:

198068951

result:

ok single line: '198068951'

Test #23:

score: 0
Accepted
time: 24ms
memory: 8580kb

input:

200 137 75 67 65 74

output:

864017958

result:

ok single line: '864017958'

Test #24:

score: 0
Accepted
time: 10ms
memory: 8452kb

input:

171 162 56 113 97 30

output:

255341800

result:

ok single line: '255341800'

Test #25:

score: 0
Accepted
time: 2ms
memory: 8204kb

input:

8 134 38 1 93 10

output:

282048962

result:

ok single line: '282048962'

Test #26:

score: 0
Accepted
time: 44ms
memory: 8736kb

input:

13 55 93 3 25 40

output:

852404927

result:

ok single line: '852404927'

Test #27:

score: 0
Accepted
time: 4ms
memory: 8332kb

input:

169 157 42 77 108 39

output:

595819517

result:

ok single line: '595819517'

Test #28:

score: 0
Accepted
time: 32ms
memory: 8736kb

input:

41 199 87 18 82 58

output:

698977796

result:

ok single line: '698977796'

Test #29:

score: 0
Accepted
time: 9ms
memory: 8440kb

input:

190 68 57 188 59 15

output:

46174623

result:

ok single line: '46174623'

Test #30:

score: 0
Accepted
time: 17ms
memory: 8588kb

input:

90 52 71 39 41 23

output:

417181087

result:

ok single line: '417181087'

Test #31:

score: 0
Accepted
time: 33ms
memory: 8744kb

input:

108 76 89 55 40 13

output:

210578964

result:

ok single line: '210578964'

Test #32:

score: 0
Accepted
time: 1ms
memory: 8216kb

input:

166 191 27 102 30 11

output:

365224233

result:

ok single line: '365224233'

Test #33:

score: 0
Accepted
time: 0ms
memory: 8008kb

input:

41 166 4 10 49 2

output:

245797147

result:

ok single line: '245797147'

Test #34:

score: 0
Accepted
time: 24ms
memory: 8572kb

input:

135 128 79 44 16 6

output:

203896980

result:

ok single line: '203896980'

Test #35:

score: 0
Accepted
time: 27ms
memory: 8556kb

input:

101 193 79 43 65 75

output:

27637457

result:

ok single line: '27637457'

Test #36:

score: 0
Accepted
time: 3ms
memory: 6512kb

input:

88 81 53 35 54 47

output:

950708598

result:

ok single line: '950708598'

Test #37:

score: 0
Accepted
time: 2ms
memory: 8220kb

input:

87 40 28 37 8 8

output:

817953396

result:

ok single line: '817953396'

Test #38:

score: 0
Accepted
time: 41ms
memory: 8664kb

input:

193 136 94 12 94 23

output:

145619900

result:

ok single line: '145619900'

Test #39:

score: 0
Accepted
time: 13ms
memory: 8516kb

input:

90 183 67 8 171 26

output:

899333159

result:

ok single line: '899333159'

Test #40:

score: 0
Accepted
time: 0ms
memory: 8260kb

input:

107 178 32 24 103 12

output:

82019799

result:

ok single line: '82019799'

Test #41:

score: 0
Accepted
time: 6ms
memory: 8468kb

input:

160 23 61 60 17 3

output:

350971684

result:

ok single line: '350971684'

Test #42:

score: 0
Accepted
time: 1ms
memory: 8000kb

input:

100 176 10 54 58 4

output:

978823166

result:

ok single line: '978823166'

Test #43:

score: 0
Accepted
time: 3ms
memory: 8236kb

input:

181 183 42 7 91 41

output:

690262327

result:

ok single line: '690262327'

Test #44:

score: 0
Accepted
time: 2ms
memory: 8236kb

input:

105 131 47 53 68 33

output:

806603020

result:

ok single line: '806603020'

Test #45:

score: 0
Accepted
time: 58ms
memory: 7064kb

input:

51 10 100 1 5 73

output:

341852925

result:

ok single line: '341852925'

Test #46:

score: 0
Accepted
time: 22ms
memory: 8584kb

input:

87 198 73 75 109 72

output:

741170008

result:

ok single line: '741170008'

Test #47:

score: 0
Accepted
time: 1ms
memory: 8100kb

input:

25 158 13 22 1 1

output:

237363061

result:

ok single line: '237363061'

Test #48:

score: 0
Accepted
time: 16ms
memory: 8456kb

input:

64 112 71 28 109 10

output:

350168232

result:

ok single line: '350168232'

Test #49:

score: 0
Accepted
time: 5ms
memory: 8420kb

input:

143 191 52 10 98 10

output:

71885894

result:

ok single line: '71885894'

Test #50:

score: 0
Accepted
time: 2ms
memory: 8272kb

input:

30 130 36 22 85 6

output:

909971212

result:

ok single line: '909971212'

Test #51:

score: 0
Accepted
time: 3ms
memory: 8288kb

input:

154 136 38 34 109 15

output:

655764791

result:

ok single line: '655764791'

Test #52:

score: 0
Accepted
time: 0ms
memory: 7996kb

input:

13 112 7 9 55 1

output:

623849663

result:

ok single line: '623849663'

Test #53:

score: 0
Accepted
time: 5ms
memory: 8368kb

input:

137 103 47 56 77 35

output:

43033659

result:

ok single line: '43033659'

Test #54:

score: 0
Accepted
time: 0ms
memory: 8276kb

input:

40 17 37 11 7 15

output:

803046927

result:

ok single line: '803046927'

Test #55:

score: 0
Accepted
time: 5ms
memory: 8384kb

input:

166 14 58 49 1 26

output:

664593299

result:

ok single line: '664593299'

Test #56:

score: 0
Accepted
time: 1ms
memory: 7984kb

input:

88 195 15 10 120 5

output:

925522664

result:

ok single line: '925522664'

Test #57:

score: 0
Accepted
time: 58ms
memory: 7072kb

input:

164 166 96 161 138 32

output:

111053370

result:

ok single line: '111053370'

Test #58:

score: 0
Accepted
time: 47ms
memory: 8732kb

input:

145 135 94 68 83 9

output:

394110532

result:

ok single line: '394110532'

Test #59:

score: 0
Accepted
time: 11ms
memory: 8548kb

input:

154 173 63 5 77 51

output:

540440686

result:

ok single line: '540440686'

Test #60:

score: 0
Accepted
time: 2ms
memory: 8096kb

input:

20 91 30 20 83 17

output:

961395776

result:

ok single line: '961395776'

Test #61:

score: 0
Accepted
time: 1ms
memory: 8108kb

input:

144 39 13 77 9 5

output:

99731481

result:

ok single line: '99731481'

Test #62:

score: 0
Accepted
time: 31ms
memory: 8576kb

input:

87 152 83 4 59 81

output:

139490896

result:

ok single line: '139490896'

Test #63:

score: 0
Accepted
time: 42ms
memory: 6856kb

input:

171 135 89 114 124 10

output:

736020363

result:

ok single line: '736020363'

Test #64:

score: 0
Accepted
time: 54ms
memory: 8704kb

input:

82 41 99 66 6 5

output:

882042301

result:

ok single line: '882042301'

Test #65:

score: 0
Accepted
time: 1ms
memory: 8268kb

input:

33 114 28 11 73 11

output:

653378940

result:

ok single line: '653378940'

Test #66:

score: 0
Accepted
time: 1ms
memory: 8000kb

input:

180 73 10 43 63 9

output:

170492767

result:

ok single line: '170492767'

Test #67:

score: 0
Accepted
time: 11ms
memory: 8492kb

input:

33 185 63 19 107 7

output:

907253908

result:

ok single line: '907253908'

Test #68:

score: 0
Accepted
time: 0ms
memory: 8156kb

input:

69 90 22 34 31 3

output:

137223161

result:

ok single line: '137223161'

Test #69:

score: 0
Accepted
time: 10ms
memory: 6688kb

input:

42 45 60 29 38 36

output:

99908563

result:

ok single line: '99908563'

Test #70:

score: 0
Accepted
time: 2ms
memory: 8320kb

input:

69 158 34 56 39 17

output:

681472254

result:

ok single line: '681472254'

Test #71:

score: 0
Accepted
time: 30ms
memory: 8532kb

input:

66 69 84 5 8 41

output:

277373736

result:

ok single line: '277373736'

Test #72:

score: 0
Accepted
time: 11ms
memory: 8412kb

input:

168 31 68 66 4 21

output:

528816013

result:

ok single line: '528816013'

Test #73:

score: 0
Accepted
time: 46ms
memory: 6932kb

input:

65 33 94 2 30 76

output:

331224077

result:

ok single line: '331224077'

Test #74:

score: 0
Accepted
time: 1ms
memory: 8144kb

input:

84 111 12 28 106 12

output:

95279945

result:

ok single line: '95279945'

Test #75:

score: 0
Accepted
time: 32ms
memory: 8560kb

input:

102 77 83 95 62 51

output:

773914979

result:

ok single line: '773914979'

Test #76:

score: 0
Accepted
time: 21ms
memory: 8592kb

input:

113 144 76 24 68 13

output:

845242590

result:

ok single line: '845242590'

Test #77:

score: 0
Accepted
time: 1ms
memory: 8072kb

input:

45 24 9 10 2 5

output:

71790514

result:

ok single line: '71790514'

Test #78:

score: 0
Accepted
time: 7ms
memory: 8508kb

input:

158 98 61 86 50 29

output:

123475901

result:

ok single line: '123475901'

Test #79:

score: 0
Accepted
time: 2ms
memory: 8212kb

input:

118 52 27 11 23 21

output:

489202572

result:

ok single line: '489202572'

Test #80:

score: 0
Accepted
time: 2ms
memory: 8264kb

input:

122 148 35 112 17 17

output:

856169627

result:

ok single line: '856169627'

Test #81:

score: 0
Accepted
time: 0ms
memory: 8044kb

input:

135 114 15 20 43 9

output:

873320383

result:

ok single line: '873320383'

Test #82:

score: 0
Accepted
time: 31ms
memory: 8660kb

input:

89 70 84 70 12 18

output:

302990320

result:

ok single line: '302990320'

Test #83:

score: 0
Accepted
time: 14ms
memory: 8576kb

input:

15 68 67 5 51 66

output:

980298686

result:

ok single line: '980298686'

Test #84:

score: 0
Accepted
time: 17ms
memory: 8576kb

input:

50 2 73 40 2 8

output:

550497760

result:

ok single line: '550497760'

Test #85:

score: 0
Accepted
time: 26ms
memory: 8660kb

input:

117 88 83 93 1 50

output:

645491986

result:

ok single line: '645491986'

Test #86:

score: 0
Accepted
time: 3ms
memory: 8416kb

input:

45 173 54 34 93 3

output:

330947509

result:

ok single line: '330947509'

Test #87:

score: 0
Accepted
time: 1ms
memory: 8164kb

input:

39 10 22 34 6 20

output:

184357429

result:

ok single line: '184357429'

Test #88:

score: 0
Accepted
time: 12ms
memory: 6836kb

input:

58 27 71 55 19 22

output:

201813851

result:

ok single line: '201813851'

Test #89:

score: 0
Accepted
time: 3ms
memory: 8320kb

input:

123 57 40 14 38 23

output:

891805630

result:

ok single line: '891805630'

Test #90:

score: 0
Accepted
time: 15ms
memory: 8420kb

input:

84 64 70 12 2 23

output:

351372969

result:

ok single line: '351372969'

Test #91:

score: 0
Accepted
time: 17ms
memory: 8620kb

input:

46 160 72 21 146 9

output:

625614461

result:

ok single line: '625614461'

Test #92:

score: 0
Accepted
time: 8ms
memory: 8408kb

input:

45 99 57 25 40 4

output:

498175745

result:

ok single line: '498175745'

Test #93:

score: 0
Accepted
time: 1ms
memory: 8012kb

input:

15 21 12 14 6 3

output:

727195216

result:

ok single line: '727195216'

Test #94:

score: 0
Accepted
time: 2ms
memory: 8236kb

input:

154 77 32 73 62 15

output:

513610382

result:

ok single line: '513610382'

Test #95:

score: 0
Accepted
time: 1ms
memory: 8172kb

input:

165 97 16 158 69 11

output:

308621770

result:

ok single line: '308621770'

Test #96:

score: 0
Accepted
time: 51ms
memory: 8580kb

input:

146 128 97 132 24 10

output:

751957330

result:

ok single line: '751957330'

Test #97:

score: 0
Accepted
time: 2ms
memory: 8148kb

input:

49 39 35 2 10 14

output:

338882448

result:

ok single line: '338882448'

Test #98:

score: 0
Accepted
time: 18ms
memory: 8500kb

input:

73 1 73 35 1 44

output:

126891463

result:

ok single line: '126891463'

Test #99:

score: 0
Accepted
time: 8ms
memory: 8236kb

input:

69 82 59 1 73 1

output:

436743471

result:

ok single line: '436743471'

Test #100:

score: 0
Accepted
time: 0ms
memory: 8188kb

input:

88 86 40 19 77 4

output:

758000538

result:

ok single line: '758000538'