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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 |
---|---|---|---|---|---|---|---|---|---|
#50550 | #4812. Counting Sequence | vme50 | AC ✓ | 2350ms | 949568kb | C++14 | 804b | 2022-09-27 09:25:36 | 2022-09-27 09:25:38 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define N 300005
#define M 805
#define MOD 998244353
int n,m,B,ans,dp1[N],z[N],dp[N][M];
void W(int &x,int y) {x+=y;if(x>=MOD) x-=MOD;}
int main()
{
scanf("%d %d",&n,&m);dp1[0]=z[0]=1;ans=n>B;
for(int i=1;i<=n;++i) if(i*(i+1)>n*2) {B=i;break;}
for(int i=1;i<=B;++i) for(int j=n-B;j>=0;--j)
{
dp1[j]=0;if(B+i<=j) dp1[j]=dp1[j-B-i];
if(B-i<=j) W(dp1[j],1ll*dp1[j-B+i]*m%MOD);
if(j<n-B && !((n-B-j)%(i+1))) W(ans,dp1[j]);W(z[j],dp1[j]);
}for(int i=1;i<=B;++i) dp[i][i]=1;
for(int i=1;i<=n;++i) for(int j=1;j<=B && j<i;++j)
{
dp[i][j]=dp[i-j][j-1];
if(j<B-1) W(dp[i][j],1ll*dp[i-j][j+1]*m%MOD);
}for(int i=1;i<B;++i) W(ans,dp[n][i]);
for(int i=1;i<=n;++i) W(ans,1ll*dp[i][B]*z[n-i]%MOD);
printf("%d\n",ans);return 0;
}
详细
Test #1:
score: 100
Accepted
time: 3ms
memory: 5836kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 3ms
memory: 5908kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 7ms
memory: 12104kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 3ms
memory: 5788kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5748kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 4ms
memory: 5876kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 2ms
memory: 5828kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 0ms
memory: 5944kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 2ms
memory: 5996kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 2ms
memory: 6004kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 3ms
memory: 7384kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 5ms
memory: 8832kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 2ms
memory: 12096kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 2ms
memory: 15248kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 3ms
memory: 15272kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 8ms
memory: 19296kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 9ms
memory: 21472kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 9ms
memory: 21504kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 11ms
memory: 21492kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 25ms
memory: 37348kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 56ms
memory: 68760kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 73ms
memory: 100160kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 149ms
memory: 163128kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 265ms
memory: 226024kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 419ms
memory: 320648kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 423ms
memory: 320476kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 823ms
memory: 478128kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 791ms
memory: 478176kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 1204ms
memory: 635520kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 1222ms
memory: 635384kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 2184ms
memory: 949500kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 2184ms
memory: 949460kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 2172ms
memory: 949468kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 2165ms
memory: 949488kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 2171ms
memory: 949448kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 2221ms
memory: 949524kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 2350ms
memory: 949412kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 2227ms
memory: 949356kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 2236ms
memory: 949500kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 2213ms
memory: 949568kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 2176ms
memory: 949468kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 1107ms
memory: 605836kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 1198ms
memory: 630832kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 2039ms
memory: 949416kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 966ms
memory: 535028kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 535ms
memory: 365880kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"