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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#72489 | #4812. Counting Sequence | xuqin | AC ✓ | 8542ms | 943840kb | C++14 | 1.1kb | 2023-01-15 20:15:03 | 2023-01-15 20:15:06 |
Judging History
answer
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int P=998244353, maxn=300020;
int dp[maxn][800], f[2][maxn<<1];
void add(int &x, int y) {x+=y; if(x>=P) x-=P;}
int main() {
int n, c; scanf("%d%d", &n, &c);
int S=1; while(S*(S+1)/2<n) ++S;
for(int i=1; i<=n; ++i) {
for(int j=1; j<i&&j<=S; ++j)
dp[i][j]=(dp[i-j][j-1]+1LL*dp[i-j][j+1]*c%P)%P;
if(i<S) dp[i][i]=1;
}
int ans=0;
for(int i=1; i<=S; ++i) add(ans, dp[n][i]);
f[0][n]=1; int cur=0;
for(int j=S; j<=n; ++j) add(ans, f[cur][n-j+n]);
for(int j=1; j<n; ++j) if(n-j-(S+1)+n>=0) add(ans, 1LL*dp[j][S]*f[cur][n-j-(S+1)+n]%P);
for(int i=2; i<=S; ++i, cur^=1) {
for(int j=0; j<=2*n; ++j) {
f[cur^1][j]=0;
if(j-(i-1)>=0) add(f[cur^1][j], f[cur][j-(i-1)]);
if(j+(i-1)<=2*n) add(f[cur^1][j], 1LL*f[cur][j+(i-1)]*c%P);
}
for(int j=S; j<=n; ++j)
if(2*n-1LL*i*j>=0&&2*n-1LL*i*j<=2*n) add(ans, f[cur^1][n-i*j+n]);
for(int j=1; j<n; ++j) if(n+n-j-1LL*i*(S+1)>=0) add(ans, 1LL*dp[j][S]*f[cur^1][n-j-(S+1)*i+n]%P);
}
printf("%d", ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 1656kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 1ms
memory: 1760kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 7984kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 1ms
memory: 1760kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 0ms
memory: 1620kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 1ms
memory: 1740kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 1ms
memory: 1892kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 1ms
memory: 1892kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 0ms
memory: 1700kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 1ms
memory: 1800kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 2ms
memory: 3056kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 1ms
memory: 4720kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 0ms
memory: 7900kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 4ms
memory: 11008kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 3ms
memory: 11056kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 11ms
memory: 15212kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 4ms
memory: 17364kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 3ms
memory: 17360kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 7ms
memory: 17284kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 30ms
memory: 33000kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 78ms
memory: 64372kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 155ms
memory: 95700kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 315ms
memory: 158584kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 554ms
memory: 221424kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 924ms
memory: 315660kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 982ms
memory: 317116kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 1971ms
memory: 473900kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 2036ms
memory: 473908kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 3639ms
memory: 630456kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 3731ms
memory: 630560kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 7640ms
memory: 943776kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 7910ms
memory: 943768kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 7617ms
memory: 943788kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 7645ms
memory: 943772kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 7995ms
memory: 943660kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 8091ms
memory: 943840kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 8320ms
memory: 943736kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 8542ms
memory: 943820kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 8181ms
memory: 943660kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 7873ms
memory: 943820kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 7819ms
memory: 943664kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 3583ms
memory: 601348kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 3880ms
memory: 625792kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 7998ms
memory: 943796kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 2833ms
memory: 530684kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 1291ms
memory: 362492kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"