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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 |
---|---|---|---|---|---|---|---|---|---|
#396064 | #3082. Ascending Matrix | Graphcity | AC ✓ | 67ms | 6620kb | C++20 | 2.4kb | 2024-04-22 11:28:03 | 2024-04-22 11:28:03 |
Judging History
answer
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rof(i,a,b) for(int i=(a);i>=(b);--i)
using namespace std;
const int Maxn=350,Mod=998244353;
inline int Pow(int x,int y)
{
int res=1;
while(y)
{
if(y&1) res=1ll*res*x%Mod;
x=1ll*x*x%Mod,y>>=1;
}
return res;
}
int n,m,K,X,Y,Z,f[Maxn+5][Maxn+5][2],val[Maxn+5];
int d[Maxn+5][Maxn+5],h[Maxn+5][Maxn+5],dx[Maxn+5][Maxn+5][2];
int fac[Maxn+5],inv[Maxn+5],g[Maxn+5],ans;
inline int sgn(int x) {return (x&1)?Mod-1:1;}
inline int Gauss()
{
int ans=1; For(i,1,K)
{
int p=i; For(p,i,K) if(h[p][i]) {p=i; break;}
if(!h[p][i]) return 0; if(p!=i) ans=Mod-ans,swap(h[p],h[i]);
ans=1ll*ans*h[i][i]%Mod,p=Pow(h[i][i],Mod-2);
For(j,i,K) h[i][j]=1ll*p*h[i][j]%Mod; For(j,i+1,K)
{p=Mod-h[j][i]; For(k,i,K) h[j][k]=(h[j][k]+1ll*p*h[i][k])%Mod;}
} return ans;
}
inline void Solve(int sx,int sy,int id)
{
memset(f,0,sizeof(f)); f[sx][sy][0]=1;
For(i,sx,Maxn) Rof(j,sy,0)
{
if(d[i][j]==-1) f[i][j][0]=f[i][j][1]=0;
if(d[i][j]==1) (f[i][j][1]+=f[i][j][0])%=Mod,f[i][j][0]=0;
For(op,0,1)
{
if(i<Maxn) (f[i+1][j][op]+=f[i][j][op])%=Mod;
if(j) (f[i][j-1][op]+=f[i][j][op])%=Mod;
}
}
For(i,1,K)
{
int tx=n+i-1,ty=i-1;
For(op,0,1) dx[i][id][op]=f[tx][ty][op];
}
}
inline int Work(int w)
{
For(i,1,K) For(j,1,K) h[i][j]=(dx[i][j][0]+1ll*w*dx[i][j][1])%Mod;
return Gauss();
}
signed main()
{
// freopen("1.in","r",stdin);
cin>>n>>m>>K>>X>>Y>>Z; fac[0]=inv[0]=1;
if(K==1) {cout<<1<<endl; return 0;} K--;
For(i,1,Maxn) fac[i]=1ll*fac[i-1]*i%Mod;
inv[Maxn]=Pow(fac[Maxn],Mod-2)%Mod;
Rof(i,Maxn-1,1) inv[i]=1ll*inv[i+1]*(i+1)%Mod;
for(int i=Z-1;X+i<=Maxn && Y+i<=Maxn;++i) d[X+i][Y+i]=1;
if(Z>1) d[X+Z-2][Y+Z-2]=-1;
For(i,1,K) Solve(i-1,m+i-1,i);
For(i,0,K) val[i]=1ll*Work(i)*inv[i]%Mod*inv[K-i]%Mod*sgn(K-i)%Mod;
g[1]=1; For(i,1,K) Rof(j,i+1,1) g[j]=(1ll*g[j]*(Mod-i)+g[j-1])%Mod;
ans=1ll*val[0]*g[K-Z+2]%Mod;
For(i,1,K)
{
For(j,1,K+1) g[j]=1ll*(g[j]-g[j-1]+Mod)*Pow(Mod-i,Mod-2)%Mod;
ans=(ans+1ll*val[i]*g[K-Z+1])%Mod;
Rof(j,K+1,1) g[j]=(1ll*g[j]*(Mod-i)+g[j-1])%Mod;
} cout<<ans<<endl;
// cerr<<1.0*clock()/CLOCKS_PER_SEC<<endl;
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 17ms
memory: 6344kb
input:
148 129 48 144 105 13
output:
467058311
result:
ok single line: '467058311'
Test #2:
score: 0
Accepted
time: 2ms
memory: 5172kb
input:
57 48 11 56 9 1
output:
951177245
result:
ok single line: '951177245'
Test #3:
score: 0
Accepted
time: 35ms
memory: 5188kb
input:
121 146 72 117 72 25
output:
284798523
result:
ok single line: '284798523'
Test #4:
score: 0
Accepted
time: 4ms
memory: 6036kb
input:
66 142 11 51 124 4
output:
542285716
result:
ok single line: '542285716'
Test #5:
score: 0
Accepted
time: 64ms
memory: 6152kb
input:
45 127 98 3 31 80
output:
116902187
result:
ok single line: '116902187'
Test #6:
score: 0
Accepted
time: 21ms
memory: 5120kb
input:
125 199 45 51 91 21
output:
715355617
result:
ok single line: '715355617'
Test #7:
score: 0
Accepted
time: 0ms
memory: 6132kb
input:
41 153 6 6 147 2
output:
190519561
result:
ok single line: '190519561'
Test #8:
score: 0
Accepted
time: 28ms
memory: 5152kb
input:
112 108 69 99 29 47
output:
481688971
result:
ok single line: '481688971'
Test #9:
score: 0
Accepted
time: 49ms
memory: 6348kb
input:
138 99 94 73 43 73
output:
667469005
result:
ok single line: '667469005'
Test #10:
score: 0
Accepted
time: 6ms
memory: 5076kb
input:
143 147 18 24 141 9
output:
763965115
result:
ok single line: '763965115'
Test #11:
score: 0
Accepted
time: 52ms
memory: 5332kb
input:
99 63 97 78 51 66
output:
130195301
result:
ok single line: '130195301'
Test #12:
score: 0
Accepted
time: 2ms
memory: 5216kb
input:
103 23 10 25 7 4
output:
674555733
result:
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Test #13:
score: 0
Accepted
time: 19ms
memory: 6156kb
input:
137 194 42 125 104 17
output:
416667361
result:
ok single line: '416667361'
Test #14:
score: 0
Accepted
time: 4ms
memory: 5988kb
input:
191 13 37 42 2 21
output:
530754407
result:
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Test #15:
score: 0
Accepted
time: 11ms
memory: 6612kb
input:
195 33 53 101 29 32
output:
851306824
result:
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Test #16:
score: 0
Accepted
time: 3ms
memory: 6320kb
input:
84 173 8 70 70 6
output:
25135799
result:
ok single line: '25135799'
Test #17:
score: 0
Accepted
time: 11ms
memory: 5224kb
input:
39 53 49 37 6 9
output:
640044940
result:
ok single line: '640044940'
Test #18:
score: 0
Accepted
time: 29ms
memory: 6352kb
input:
135 129 68 134 86 16
output:
910022919
result:
ok single line: '910022919'
Test #19:
score: 0
Accepted
time: 16ms
memory: 5204kb
input:
62 74 56 28 12 46
output:
774987233
result:
ok single line: '774987233'
Test #20:
score: 0
Accepted
time: 42ms
memory: 5332kb
input:
87 135 81 27 44 58
output:
629485683
result:
ok single line: '629485683'
Test #21:
score: 0
Accepted
time: 21ms
memory: 5216kb
input:
148 199 44 79 81 40
output:
369408819
result:
ok single line: '369408819'
Test #22:
score: 0
Accepted
time: 2ms
memory: 5004kb
input:
18 195 5 17 151 5
output:
198068951
result:
ok single line: '198068951'
Test #23:
score: 0
Accepted
time: 36ms
memory: 6252kb
input:
200 137 75 67 65 74
output:
864017958
result:
ok single line: '864017958'
Test #24:
score: 0
Accepted
time: 24ms
memory: 5124kb
input:
171 162 56 113 97 30
output:
255341800
result:
ok single line: '255341800'
Test #25:
score: 0
Accepted
time: 13ms
memory: 5100kb
input:
8 134 38 1 93 10
output:
282048962
result:
ok single line: '282048962'
Test #26:
score: 0
Accepted
time: 45ms
memory: 5456kb
input:
13 55 93 3 25 40
output:
852404927
result:
ok single line: '852404927'
Test #27:
score: 0
Accepted
time: 16ms
memory: 5044kb
input:
169 157 42 77 108 39
output:
595819517
result:
ok single line: '595819517'
Test #28:
score: 0
Accepted
time: 59ms
memory: 5388kb
input:
41 199 87 18 82 58
output:
698977796
result:
ok single line: '698977796'
Test #29:
score: 0
Accepted
time: 16ms
memory: 5156kb
input:
190 68 57 188 59 15
output:
46174623
result:
ok single line: '46174623'
Test #30:
score: 0
Accepted
time: 22ms
memory: 5956kb
input:
90 52 71 39 41 23
output:
417181087
result:
ok single line: '417181087'
Test #31:
score: 0
Accepted
time: 39ms
memory: 5352kb
input:
108 76 89 55 40 13
output:
210578964
result:
ok single line: '210578964'
Test #32:
score: 0
Accepted
time: 8ms
memory: 5016kb
input:
166 191 27 102 30 11
output:
365224233
result:
ok single line: '365224233'
Test #33:
score: 0
Accepted
time: 2ms
memory: 5136kb
input:
41 166 4 10 49 2
output:
245797147
result:
ok single line: '245797147'
Test #34:
score: 0
Accepted
time: 39ms
memory: 6224kb
input:
135 128 79 44 16 6
output:
203896980
result:
ok single line: '203896980'
Test #35:
score: 0
Accepted
time: 48ms
memory: 5276kb
input:
101 193 79 43 65 75
output:
27637457
result:
ok single line: '27637457'
Test #36:
score: 0
Accepted
time: 15ms
memory: 6204kb
input:
88 81 53 35 54 47
output:
950708598
result:
ok single line: '950708598'
Test #37:
score: 0
Accepted
time: 4ms
memory: 5276kb
input:
87 40 28 37 8 8
output:
817953396
result:
ok single line: '817953396'
Test #38:
score: 0
Accepted
time: 56ms
memory: 5432kb
input:
193 136 94 12 94 23
output:
145619900
result:
ok single line: '145619900'
Test #39:
score: 0
Accepted
time: 31ms
memory: 6512kb
input:
90 183 67 8 171 26
output:
899333159
result:
ok single line: '899333159'
Test #40:
score: 0
Accepted
time: 13ms
memory: 5120kb
input:
107 178 32 24 103 12
output:
82019799
result:
ok single line: '82019799'
Test #41:
score: 0
Accepted
time: 13ms
memory: 5312kb
input:
160 23 61 60 17 3
output:
350971684
result:
ok single line: '350971684'
Test #42:
score: 0
Accepted
time: 4ms
memory: 5908kb
input:
100 176 10 54 58 4
output:
978823166
result:
ok single line: '978823166'
Test #43:
score: 0
Accepted
time: 18ms
memory: 5928kb
input:
181 183 42 7 91 41
output:
690262327
result:
ok single line: '690262327'
Test #44:
score: 0
Accepted
time: 14ms
memory: 6612kb
input:
105 131 47 53 68 33
output:
806603020
result:
ok single line: '806603020'
Test #45:
score: 0
Accepted
time: 48ms
memory: 5440kb
input:
51 10 100 1 5 73
output:
341852925
result:
ok single line: '341852925'
Test #46:
score: 0
Accepted
time: 43ms
memory: 5140kb
input:
87 198 73 75 109 72
output:
741170008
result:
ok single line: '741170008'
Test #47:
score: 0
Accepted
time: 2ms
memory: 5104kb
input:
25 158 13 22 1 1
output:
237363061
result:
ok single line: '237363061'
Test #48:
score: 0
Accepted
time: 30ms
memory: 6404kb
input:
64 112 71 28 109 10
output:
350168232
result:
ok single line: '350168232'
Test #49:
score: 0
Accepted
time: 25ms
memory: 6340kb
input:
143 191 52 10 98 10
output:
71885894
result:
ok single line: '71885894'
Test #50:
score: 0
Accepted
time: 12ms
memory: 6268kb
input:
30 130 36 22 85 6
output:
909971212
result:
ok single line: '909971212'
Test #51:
score: 0
Accepted
time: 13ms
memory: 5124kb
input:
154 136 38 34 109 15
output:
655764791
result:
ok single line: '655764791'
Test #52:
score: 0
Accepted
time: 2ms
memory: 5036kb
input:
13 112 7 9 55 1
output:
623849663
result:
ok single line: '623849663'
Test #53:
score: 0
Accepted
time: 15ms
memory: 5180kb
input:
137 103 47 56 77 35
output:
43033659
result:
ok single line: '43033659'
Test #54:
score: 0
Accepted
time: 2ms
memory: 6084kb
input:
40 17 37 11 7 15
output:
803046927
result:
ok single line: '803046927'
Test #55:
score: 0
Accepted
time: 7ms
memory: 5224kb
input:
166 14 58 49 1 26
output:
664593299
result:
ok single line: '664593299'
Test #56:
score: 0
Accepted
time: 3ms
memory: 6376kb
input:
88 195 15 10 120 5
output:
925522664
result:
ok single line: '925522664'
Test #57:
score: 0
Accepted
time: 67ms
memory: 5252kb
input:
164 166 96 161 138 32
output:
111053370
result:
ok single line: '111053370'
Test #58:
score: 0
Accepted
time: 59ms
memory: 5336kb
input:
145 135 94 68 83 9
output:
394110532
result:
ok single line: '394110532'
Test #59:
score: 0
Accepted
time: 31ms
memory: 5224kb
input:
154 173 63 5 77 51
output:
540440686
result:
ok single line: '540440686'
Test #60:
score: 0
Accepted
time: 8ms
memory: 5076kb
input:
20 91 30 20 83 17
output:
961395776
result:
ok single line: '961395776'
Test #61:
score: 0
Accepted
time: 2ms
memory: 5072kb
input:
144 39 13 77 9 5
output:
99731481
result:
ok single line: '99731481'
Test #62:
score: 0
Accepted
time: 47ms
memory: 6620kb
input:
87 152 83 4 59 81
output:
139490896
result:
ok single line: '139490896'
Test #63:
score: 0
Accepted
time: 52ms
memory: 5328kb
input:
171 135 89 114 124 10
output:
736020363
result:
ok single line: '736020363'
Test #64:
score: 0
Accepted
time: 48ms
memory: 5524kb
input:
82 41 99 66 6 5
output:
882042301
result:
ok single line: '882042301'
Test #65:
score: 0
Accepted
time: 8ms
memory: 5080kb
input:
33 114 28 11 73 11
output:
653378940
result:
ok single line: '653378940'
Test #66:
score: 0
Accepted
time: 2ms
memory: 6216kb
input:
180 73 10 43 63 9
output:
170492767
result:
ok single line: '170492767'
Test #67:
score: 0
Accepted
time: 29ms
memory: 6040kb
input:
33 185 63 19 107 7
output:
907253908
result:
ok single line: '907253908'
Test #68:
score: 0
Accepted
time: 2ms
memory: 5200kb
input:
69 90 22 34 31 3
output:
137223161
result:
ok single line: '137223161'
Test #69:
score: 0
Accepted
time: 11ms
memory: 5304kb
input:
42 45 60 29 38 36
output:
99908563
result:
ok single line: '99908563'
Test #70:
score: 0
Accepted
time: 13ms
memory: 5168kb
input:
69 158 34 56 39 17
output:
681472254
result:
ok single line: '681472254'
Test #71:
score: 0
Accepted
time: 36ms
memory: 6548kb
input:
66 69 84 5 8 41
output:
277373736
result:
ok single line: '277373736'
Test #72:
score: 0
Accepted
time: 18ms
memory: 5304kb
input:
168 31 68 66 4 21
output:
528816013
result:
ok single line: '528816013'
Test #73:
score: 0
Accepted
time: 43ms
memory: 5460kb
input:
65 33 94 2 30 76
output:
331224077
result:
ok single line: '331224077'
Test #74:
score: 0
Accepted
time: 4ms
memory: 6504kb
input:
84 111 12 28 106 12
output:
95279945
result:
ok single line: '95279945'
Test #75:
score: 0
Accepted
time: 36ms
memory: 6324kb
input:
102 77 83 95 62 51
output:
773914979
result:
ok single line: '773914979'
Test #76:
score: 0
Accepted
time: 35ms
memory: 5416kb
input:
113 144 76 24 68 13
output:
845242590
result:
ok single line: '845242590'
Test #77:
score: 0
Accepted
time: 1ms
memory: 5868kb
input:
45 24 9 10 2 5
output:
71790514
result:
ok single line: '71790514'
Test #78:
score: 0
Accepted
time: 21ms
memory: 6480kb
input:
158 98 61 86 50 29
output:
123475901
result:
ok single line: '123475901'
Test #79:
score: 0
Accepted
time: 5ms
memory: 5932kb
input:
118 52 27 11 23 21
output:
489202572
result:
ok single line: '489202572'
Test #80:
score: 0
Accepted
time: 13ms
memory: 6172kb
input:
122 148 35 112 17 17
output:
856169627
result:
ok single line: '856169627'
Test #81:
score: 0
Accepted
time: 4ms
memory: 6180kb
input:
135 114 15 20 43 9
output:
873320383
result:
ok single line: '873320383'
Test #82:
score: 0
Accepted
time: 36ms
memory: 6044kb
input:
89 70 84 70 12 18
output:
302990320
result:
ok single line: '302990320'
Test #83:
score: 0
Accepted
time: 18ms
memory: 6024kb
input:
15 68 67 5 51 66
output:
980298686
result:
ok single line: '980298686'
Test #84:
score: 0
Accepted
time: 18ms
memory: 6492kb
input:
50 2 73 40 2 8
output:
550497760
result:
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Test #85:
score: 0
Accepted
time: 38ms
memory: 6540kb
input:
117 88 83 93 1 50
output:
645491986
result:
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Test #86:
score: 0
Accepted
time: 24ms
memory: 5256kb
input:
45 173 54 34 93 3
output:
330947509
result:
ok single line: '330947509'
Test #87:
score: 0
Accepted
time: 2ms
memory: 5160kb
input:
39 10 22 34 6 20
output:
184357429
result:
ok single line: '184357429'
Test #88:
score: 0
Accepted
time: 20ms
memory: 6596kb
input:
58 27 71 55 19 22
output:
201813851
result:
ok single line: '201813851'
Test #89:
score: 0
Accepted
time: 8ms
memory: 6400kb
input:
123 57 40 14 38 23
output:
891805630
result:
ok single line: '891805630'
Test #90:
score: 0
Accepted
time: 23ms
memory: 5980kb
input:
84 64 70 12 2 23
output:
351372969
result:
ok single line: '351372969'
Test #91:
score: 0
Accepted
time: 36ms
memory: 5148kb
input:
46 160 72 21 146 9
output:
625614461
result:
ok single line: '625614461'
Test #92:
score: 0
Accepted
time: 17ms
memory: 6560kb
input:
45 99 57 25 40 4
output:
498175745
result:
ok single line: '498175745'
Test #93:
score: 0
Accepted
time: 0ms
memory: 5104kb
input:
15 21 12 14 6 3
output:
727195216
result:
ok single line: '727195216'
Test #94:
score: 0
Accepted
time: 10ms
memory: 5940kb
input:
154 77 32 73 62 15
output:
513610382
result:
ok single line: '513610382'
Test #95:
score: 0
Accepted
time: 4ms
memory: 4988kb
input:
165 97 16 158 69 11
output:
308621770
result:
ok single line: '308621770'
Test #96:
score: 0
Accepted
time: 59ms
memory: 5416kb
input:
146 128 97 132 24 10
output:
751957330
result:
ok single line: '751957330'
Test #97:
score: 0
Accepted
time: 6ms
memory: 6404kb
input:
49 39 35 2 10 14
output:
338882448
result:
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Test #98:
score: 0
Accepted
time: 18ms
memory: 6360kb
input:
73 1 73 35 1 44
output:
126891463
result:
ok single line: '126891463'
Test #99:
score: 0
Accepted
time: 15ms
memory: 5224kb
input:
69 82 59 1 73 1
output:
436743471
result:
ok single line: '436743471'
Test #100:
score: 0
Accepted
time: 10ms
memory: 5256kb
input:
88 86 40 19 77 4
output:
758000538
result:
ok single line: '758000538'