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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#396008 | #3082. Ascending Matrix | Xun_xiaoyao | AC ✓ | 134ms | 69892kb | C++14 | 2.6kb | 2024-04-22 09:36:02 | 2024-04-22 09:36:02 |
Judging History
answer
#include <bits/stdc++.h>
#define Mod 998244353
using namespace std;
int Qread()
{
int x=0;char ch=getchar();
while(ch<'0'||ch>'9') ch=getchar();
while(ch>='0'&&ch<='9') x=x*10+(ch^48),ch=getchar();
return x;
}
inline int qpow(int a,int p)
{
int ret=1;
for(;p;p>>=1,a=1ll*a*a%Mod)
if(p&1) ret=1ll*ret*a%Mod;
return ret;
}
inline int chk(int a){return a>=Mod?a-Mod:a;}
int rev[130];
void NTT(int *num,int len,bool typ)
{
for(int i=1;i<len;i++) rev[i]=(rev[i>>1]>>1)|(i&1?len>>1:0);
for(int i=1;i<len;i++) if(rev[i]<i) swap(num[i],num[rev[i]]);
int x,y,w,g;
for(int i=1;i<len;i<<=1)
{
if(typ) w=qpow(332748118,(Mod-1)/(i<<1));
else w=qpow(3,(Mod-1)/(i<<1));
for(int j=0;j<len;j+=(i<<1))
{
g=1;
for(int k=0;k<i;k++)
{
x=num[j|k],y=1ll*g*num[i|j|k]%Mod;
num[j|k]=chk(x+y),num[i|j|k]=chk(x+Mod-y);
g=1ll*w*g%Mod;
}
}
}
if(typ)
{
int ny=qpow(len,Mod-2);
for(int i=0;i<len;i++)
num[i]=1ll*num[i]*ny%Mod;
}
}
inline void del(int &a,int b){a-=b;if(a<0) a+=Mod;}
int n,m,k,r,c,v,len;
int f[310][310][110][2];
int D[110][110][130];
int a[110][110],ans[130];
int calc(int n)
{
int rev=0;
for(int i=1;i<=n;i++)
{
for(int j=i+1;j<=n&&a[i][i]==0;j++)
if(a[j][i])
{
rev^=1;
for(int k=i;k<=n;k++)
swap(a[i][k],a[j][k]);
}
int ny=qpow(a[i][i],Mod-2);
for(int j=i+1;j<=n;j++)
for(int k=n;k>=i;k--)
del(a[j][k],1ll*a[j][i]*a[i][k]%Mod*ny%Mod);
}
int ret=(rev?Mod-1:1);
for(int i=1;i<=n;i++)
ret=1ll*ret*a[i][i]%Mod;
return ret;
}
int main()
{
n=Qread(),m=Qread(),k=Qread(),r=Qread(),c=Qread(),v=Qread();
for(int i=1;i<k;i++) f[i][m+i][i][0]=1;
for(int del=1-m;del<=n;del++)
{
if(del==r-c)
{
for(int x=max(1,1+del);x<r+v-1;x++)
for(int t=1;t<k;t++)
f[x][x-del][t][1]=chk(f[x-1][x-del][t][0]+f[x][x-del+1][t][0]);
for(int x=r+v;x<n+k&&x-del<m+k;x++)
for(int t=1;t<k;t++)
f[x][x-del][t][0]=chk(f[x-1][x-del][t][0]+f[x][x-del+1][t][0]);
}
else
{
for(int x=max(1,1+del);x<n+k&&x-del<m+k;x++)
for(int t=1;t<k;t++)
f[x][x-del][t][0]=chk(f[x-1][x-del][t][0]+f[x][x-del+1][t][0]),
f[x][x-del][t][1]=chk(f[x-1][x-del][t][1]+f[x][x-del+1][t][1]);
}
}
for(len=1;len<k;len<<=1);
for(int i=1;i<k;i++)
for(int t=1;t<k;t++)
{
D[i][t][0]=f[n+i][i][t][0],
D[i][t][1]=f[n+i][i][t][1];
NTT(D[i][t],len,false);
}
for(int t=0;t<len;t++)
{
for(int i=1;i<k;i++) for(int j=1;j<k;j++)
a[i][j]=D[i][j][t];
ans[t]=calc(k-1);
}
NTT(ans,len,true);
printf("%d\n",ans[v-1]);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 14ms
memory: 42392kb
input:
148 129 48 144 105 13
output:
467058311
result:
ok single line: '467058311'
Test #2:
score: 0
Accepted
time: 0ms
memory: 10784kb
input:
57 48 11 56 9 1
output:
951177245
result:
ok single line: '951177245'
Test #3:
score: 0
Accepted
time: 50ms
memory: 47688kb
input:
121 146 72 117 72 25
output:
284798523
result:
ok single line: '284798523'
Test #4:
score: 0
Accepted
time: 3ms
memory: 20012kb
input:
66 142 11 51 124 4
output:
542285716
result:
ok single line: '542285716'
Test #5:
score: 0
Accepted
time: 123ms
memory: 42672kb
input:
45 127 98 3 31 80
output:
116902187
result:
ok single line: '116902187'
Test #6:
score: 0
Accepted
time: 15ms
memory: 45328kb
input:
125 199 45 51 91 21
output:
715355617
result:
ok single line: '715355617'
Test #7:
score: 0
Accepted
time: 0ms
memory: 12640kb
input:
41 153 6 6 147 2
output:
190519561
result:
ok single line: '190519561'
Test #8:
score: 0
Accepted
time: 48ms
memory: 41444kb
input:
112 108 69 99 29 47
output:
481688971
result:
ok single line: '481688971'
Test #9:
score: 0
Accepted
time: 133ms
memory: 54184kb
input:
138 99 94 73 43 73
output:
667469005
result:
ok single line: '667469005'
Test #10:
score: 0
Accepted
time: 3ms
memory: 32576kb
input:
143 147 18 24 141 9
output:
763965115
result:
ok single line: '763965115'
Test #11:
score: 0
Accepted
time: 126ms
memory: 45384kb
input:
99 63 97 78 51 66
output:
130195301
result:
ok single line: '130195301'
Test #12:
score: 0
Accepted
time: 0ms
memory: 11008kb
input:
103 23 10 25 7 4
output:
674555733
result:
ok single line: '674555733'
Test #13:
score: 0
Accepted
time: 15ms
memory: 45772kb
input:
137 194 42 125 104 17
output:
416667361
result:
ok single line: '416667361'
Test #14:
score: 0
Accepted
time: 12ms
memory: 24812kb
input:
191 13 37 42 2 21
output:
530754407
result:
ok single line: '530754407'
Test #15:
score: 0
Accepted
time: 11ms
memory: 35104kb
input:
195 33 53 101 29 32
output:
851306824
result:
ok single line: '851306824'
Test #16:
score: 0
Accepted
time: 3ms
memory: 20468kb
input:
84 173 8 70 70 6
output:
25135799
result:
ok single line: '25135799'
Test #17:
score: 0
Accepted
time: 9ms
memory: 23292kb
input:
39 53 49 37 6 9
output:
640044940
result:
ok single line: '640044940'
Test #18:
score: 0
Accepted
time: 51ms
memory: 45800kb
input:
135 129 68 134 86 16
output:
910022919
result:
ok single line: '910022919'
Test #19:
score: 0
Accepted
time: 17ms
memory: 28512kb
input:
62 74 56 28 12 46
output:
774987233
result:
ok single line: '774987233'
Test #20:
score: 0
Accepted
time: 78ms
memory: 43148kb
input:
87 135 81 27 44 58
output:
629485683
result:
ok single line: '629485683'
Test #21:
score: 0
Accepted
time: 12ms
memory: 50208kb
input:
148 199 44 79 81 40
output:
369408819
result:
ok single line: '369408819'
Test #22:
score: 0
Accepted
time: 0ms
memory: 10124kb
input:
18 195 5 17 151 5
output:
198068951
result:
ok single line: '198068951'
Test #23:
score: 0
Accepted
time: 62ms
memory: 64948kb
input:
200 137 75 67 65 74
output:
864017958
result:
ok single line: '864017958'
Test #24:
score: 0
Accepted
time: 16ms
memory: 52360kb
input:
171 162 56 113 97 30
output:
255341800
result:
ok single line: '255341800'
Test #25:
score: 0
Accepted
time: 4ms
memory: 17688kb
input:
8 134 38 1 93 10
output:
282048962
result:
ok single line: '282048962'
Test #26:
score: 0
Accepted
time: 109ms
memory: 35552kb
input:
13 55 93 3 25 40
output:
852404927
result:
ok single line: '852404927'
Test #27:
score: 0
Accepted
time: 7ms
memory: 47040kb
input:
169 157 42 77 108 39
output:
595819517
result:
ok single line: '595819517'
Test #28:
score: 0
Accepted
time: 97ms
memory: 39408kb
input:
41 199 87 18 82 58
output:
698977796
result:
ok single line: '698977796'
Test #29:
score: 0
Accepted
time: 21ms
memory: 45484kb
input:
190 68 57 188 59 15
output:
46174623
result:
ok single line: '46174623'
Test #30:
score: 0
Accepted
time: 52ms
memory: 35032kb
input:
90 52 71 39 41 23
output:
417181087
result:
ok single line: '417181087'
Test #31:
score: 0
Accepted
time: 93ms
memory: 46120kb
input:
108 76 89 55 40 13
output:
210578964
result:
ok single line: '210578964'
Test #32:
score: 0
Accepted
time: 8ms
memory: 46208kb
input:
166 191 27 102 30 11
output:
365224233
result:
ok single line: '365224233'
Test #33:
score: 0
Accepted
time: 4ms
memory: 13064kb
input:
41 166 4 10 49 2
output:
245797147
result:
ok single line: '245797147'
Test #34:
score: 0
Accepted
time: 68ms
memory: 51352kb
input:
135 128 79 44 16 6
output:
203896980
result:
ok single line: '203896980'
Test #35:
score: 0
Accepted
time: 70ms
memory: 51740kb
input:
101 193 79 43 65 75
output:
27637457
result:
ok single line: '27637457'
Test #36:
score: 0
Accepted
time: 17ms
memory: 30188kb
input:
88 81 53 35 54 47
output:
950708598
result:
ok single line: '950708598'
Test #37:
score: 0
Accepted
time: 0ms
memory: 20948kb
input:
87 40 28 37 8 8
output:
817953396
result:
ok single line: '817953396'
Test #38:
score: 0
Accepted
time: 121ms
memory: 69892kb
input:
193 136 94 12 94 23
output:
145619900
result:
ok single line: '145619900'
Test #39:
score: 0
Accepted
time: 48ms
memory: 45364kb
input:
90 183 67 8 171 26
output:
899333159
result:
ok single line: '899333159'
Test #40:
score: 0
Accepted
time: 3ms
memory: 35240kb
input:
107 178 32 24 103 12
output:
82019799
result:
ok single line: '82019799'
Test #41:
score: 0
Accepted
time: 19ms
memory: 37124kb
input:
160 23 61 60 17 3
output:
350971684
result:
ok single line: '350971684'
Test #42:
score: 0
Accepted
time: 0ms
memory: 23848kb
input:
100 176 10 54 58 4
output:
978823166
result:
ok single line: '978823166'
Test #43:
score: 0
Accepted
time: 11ms
memory: 52640kb
input:
181 183 42 7 91 41
output:
690262327
result:
ok single line: '690262327'
Test #44:
score: 0
Accepted
time: 12ms
memory: 35680kb
input:
105 131 47 53 68 33
output:
806603020
result:
ok single line: '806603020'
Test #45:
score: 0
Accepted
time: 134ms
memory: 39272kb
input:
51 10 100 1 5 73
output:
341852925
result:
ok single line: '341852925'
Test #46:
score: 0
Accepted
time: 64ms
memory: 44780kb
input:
87 198 73 75 109 72
output:
741170008
result:
ok single line: '741170008'
Test #47:
score: 0
Accepted
time: 3ms
memory: 12880kb
input:
25 158 13 22 1 1
output:
237363061
result:
ok single line: '237363061'
Test #48:
score: 0
Accepted
time: 49ms
memory: 34560kb
input:
64 112 71 28 109 10
output:
350168232
result:
ok single line: '350168232'
Test #49:
score: 0
Accepted
time: 16ms
memory: 50580kb
input:
143 191 52 10 98 10
output:
71885894
result:
ok single line: '71885894'
Test #50:
score: 0
Accepted
time: 9ms
memory: 20380kb
input:
30 130 36 22 85 6
output:
909971212
result:
ok single line: '909971212'
Test #51:
score: 0
Accepted
time: 8ms
memory: 40708kb
input:
154 136 38 34 109 15
output:
655764791
result:
ok single line: '655764791'
Test #52:
score: 0
Accepted
time: 2ms
memory: 9148kb
input:
13 112 7 9 55 1
output:
623849663
result:
ok single line: '623849663'
Test #53:
score: 0
Accepted
time: 7ms
memory: 37396kb
input:
137 103 47 56 77 35
output:
43033659
result:
ok single line: '43033659'
Test #54:
score: 0
Accepted
time: 8ms
memory: 19792kb
input:
40 17 37 11 7 15
output:
803046927
result:
ok single line: '803046927'
Test #55:
score: 0
Accepted
time: 14ms
memory: 31432kb
input:
166 14 58 49 1 26
output:
664593299
result:
ok single line: '664593299'
Test #56:
score: 0
Accepted
time: 0ms
memory: 25748kb
input:
88 195 15 10 120 5
output:
925522664
result:
ok single line: '925522664'
Test #57:
score: 0
Accepted
time: 124ms
memory: 67872kb
input:
164 166 96 161 138 32
output:
111053370
result:
ok single line: '111053370'
Test #58:
score: 0
Accepted
time: 118ms
memory: 60032kb
input:
145 135 94 68 83 9
output:
394110532
result:
ok single line: '394110532'
Test #59:
score: 0
Accepted
time: 29ms
memory: 54308kb
input:
154 173 63 5 77 51
output:
540440686
result:
ok single line: '540440686'
Test #60:
score: 0
Accepted
time: 0ms
memory: 17712kb
input:
20 91 30 20 83 17
output:
961395776
result:
ok single line: '961395776'
Test #61:
score: 0
Accepted
time: 0ms
memory: 16632kb
input:
144 39 13 77 9 5
output:
99731481
result:
ok single line: '99731481'
Test #62:
score: 0
Accepted
time: 80ms
memory: 44988kb
input:
87 152 83 4 59 81
output:
139490896
result:
ok single line: '139490896'
Test #63:
score: 0
Accepted
time: 95ms
memory: 62492kb
input:
171 135 89 114 124 10
output:
736020363
result:
ok single line: '736020363'
Test #64:
score: 0
Accepted
time: 125ms
memory: 43008kb
input:
82 41 99 66 6 5
output:
882042301
result:
ok single line: '882042301'
Test #65:
score: 0
Accepted
time: 0ms
memory: 19400kb
input:
33 114 28 11 73 11
output:
653378940
result:
ok single line: '653378940'
Test #66:
score: 0
Accepted
time: 0ms
memory: 21064kb
input:
180 73 10 43 63 9
output:
170492767
result:
ok single line: '170492767'
Test #67:
score: 0
Accepted
time: 19ms
memory: 30240kb
input:
33 185 63 19 107 7
output:
907253908
result:
ok single line: '907253908'
Test #68:
score: 0
Accepted
time: 6ms
memory: 16852kb
input:
69 90 22 34 31 3
output:
137223161
result:
ok single line: '137223161'
Test #69:
score: 0
Accepted
time: 15ms
memory: 28868kb
input:
42 45 60 29 38 36
output:
99908563
result:
ok single line: '99908563'
Test #70:
score: 0
Accepted
time: 8ms
memory: 27164kb
input:
69 158 34 56 39 17
output:
681472254
result:
ok single line: '681472254'
Test #71:
score: 0
Accepted
time: 82ms
memory: 37948kb
input:
66 69 84 5 8 41
output:
277373736
result:
ok single line: '277373736'
Test #72:
score: 0
Accepted
time: 42ms
memory: 41068kb
input:
168 31 68 66 4 21
output:
528816013
result:
ok single line: '528816013'
Test #73:
score: 0
Accepted
time: 110ms
memory: 38956kb
input:
65 33 94 2 30 76
output:
331224077
result:
ok single line: '331224077'
Test #74:
score: 0
Accepted
time: 3ms
memory: 16880kb
input:
84 111 12 28 106 12
output:
95279945
result:
ok single line: '95279945'
Test #75:
score: 0
Accepted
time: 87ms
memory: 41516kb
input:
102 77 83 95 62 51
output:
773914979
result:
ok single line: '773914979'
Test #76:
score: 0
Accepted
time: 67ms
memory: 47668kb
input:
113 144 76 24 68 13
output:
845242590
result:
ok single line: '845242590'
Test #77:
score: 0
Accepted
time: 2ms
memory: 9240kb
input:
45 24 9 10 2 5
output:
71790514
result:
ok single line: '71790514'
Test #78:
score: 0
Accepted
time: 23ms
memory: 46940kb
input:
158 98 61 86 50 29
output:
123475901
result:
ok single line: '123475901'
Test #79:
score: 0
Accepted
time: 3ms
memory: 20248kb
input:
118 52 27 11 23 21
output:
489202572
result:
ok single line: '489202572'
Test #80:
score: 0
Accepted
time: 4ms
memory: 35344kb
input:
122 148 35 112 17 17
output:
856169627
result:
ok single line: '856169627'
Test #81:
score: 0
Accepted
time: 0ms
memory: 24576kb
input:
135 114 15 20 43 9
output:
873320383
result:
ok single line: '873320383'
Test #82:
score: 0
Accepted
time: 84ms
memory: 40728kb
input:
89 70 84 70 12 18
output:
302990320
result:
ok single line: '302990320'
Test #83:
score: 0
Accepted
time: 44ms
memory: 26552kb
input:
15 68 67 5 51 66
output:
980298686
result:
ok single line: '980298686'
Test #84:
score: 0
Accepted
time: 53ms
memory: 31332kb
input:
50 2 73 40 2 8
output:
550497760
result:
ok single line: '550497760'
Test #85:
score: 0
Accepted
time: 84ms
memory: 46660kb
input:
117 88 83 93 1 50
output:
645491986
result:
ok single line: '645491986'
Test #86:
score: 0
Accepted
time: 7ms
memory: 29644kb
input:
45 173 54 34 93 3
output:
330947509
result:
ok single line: '330947509'
Test #87:
score: 0
Accepted
time: 0ms
memory: 12940kb
input:
39 10 22 34 6 20
output:
184357429
result:
ok single line: '184357429'
Test #88:
score: 0
Accepted
time: 46ms
memory: 31604kb
input:
58 27 71 55 19 22
output:
201813851
result:
ok single line: '201813851'
Test #89:
score: 0
Accepted
time: 7ms
memory: 27504kb
input:
123 57 40 14 38 23
output:
891805630
result:
ok single line: '891805630'
Test #90:
score: 0
Accepted
time: 43ms
memory: 35236kb
input:
84 64 70 12 2 23
output:
351372969
result:
ok single line: '351372969'
Test #91:
score: 0
Accepted
time: 52ms
memory: 34212kb
input:
46 160 72 21 146 9
output:
625614461
result:
ok single line: '625614461'
Test #92:
score: 0
Accepted
time: 18ms
memory: 29584kb
input:
45 99 57 25 40 4
output:
498175745
result:
ok single line: '498175745'
Test #93:
score: 0
Accepted
time: 2ms
memory: 12276kb
input:
15 21 12 14 6 3
output:
727195216
result:
ok single line: '727195216'
Test #94:
score: 0
Accepted
time: 4ms
memory: 30568kb
input:
154 77 32 73 62 15
output:
513610382
result:
ok single line: '513610382'
Test #95:
score: 0
Accepted
time: 10ms
memory: 25908kb
input:
165 97 16 158 69 11
output:
308621770
result:
ok single line: '308621770'
Test #96:
score: 0
Accepted
time: 133ms
memory: 59676kb
input:
146 128 97 132 24 10
output:
751957330
result:
ok single line: '751957330'
Test #97:
score: 0
Accepted
time: 4ms
memory: 19272kb
input:
49 39 35 2 10 14
output:
338882448
result:
ok single line: '338882448'
Test #98:
score: 0
Accepted
time: 46ms
memory: 29780kb
input:
73 1 73 35 1 44
output:
126891463
result:
ok single line: '126891463'
Test #99:
score: 0
Accepted
time: 21ms
memory: 33188kb
input:
69 82 59 1 73 1
output:
436743471
result:
ok single line: '436743471'
Test #100:
score: 0
Accepted
time: 11ms
memory: 24176kb
input:
88 86 40 19 77 4
output:
758000538
result:
ok single line: '758000538'