QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#313735 | #8171. Cola | ucup-team266# | AC ✓ | 196ms | 316452kb | C++23 | 1.6kb | 2024-01-24 22:43:04 | 2024-01-24 22:43:10 |
Judging History
answer
//Author: Kevin
#include<bits/stdc++.h>
//#pragma GCC optimize("O2")
using namespace std;
#define ll long long
#define ull unsigned ll
#define pb emplace_back
#define mp make_pair
#define ALL(x) (x).begin(),(x).end()
#define rALL(x) (x).rbegin(),(x).rend()
#define srt(x) sort(ALL(x))
#define rev(x) reverse(ALL(x))
#define rsrt(x) sort(rALL(x))
#define sz(x) (int)(x.size())
#define inf 0x3f3f3f3f
#define pii pair<int,int>
#define lb(v,x) (int)(lower_bound(ALL(v),x)-v.begin())
#define ub(v,x) (int)(upper_bound(ALL(v),x)-v.begin())
#define uni(v) v.resize(unique(ALL(v))-v.begin())
#define longer __int128_t
void die(string S){puts(S.c_str());exit(0);}
const ll mod=998244353;
ll fact[20001000],rfact[20001000];
ll ksm(ll a,ll b)
{
ll ans=1;
while(b)
{
if(b&1) ans=ans*a%mod;
b>>=1;
a=a*a%mod;
}
return ans;
}
ll C(int n,int k)
{
if(k<0||n<k) return 0;
return fact[n]*rfact[k]%mod*rfact[n-k]%mod;
}
int n,m;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
fact[0]=1;
for(int i=1;i<20001000;i++)
fact[i]=fact[i-1]*i%mod;
rfact[20000999]=ksm(fact[20000999],mod-2);
for(int i=20000999;i;i--)
rfact[i-1]=rfact[i]*i%mod;
cin>>n>>m;
m--;
vector<pair<int,ll>> vec;
for(int i=0;(3*i*i-i)/2<=m;i++)
if(i%2)
{
vec.pb((3*i*i-i)/2,mod-1);
vec.pb((3*i*i+i)/2,mod-1);
}
else
{
if(i)
vec.pb((3*i*i-i)/2,1);
vec.pb((3*i*i+i)/2,1);
}
ll ans=0;
for(auto pr:vec)
ans=(ans+pr.second*C(n+m-pr.first,n))%mod;
cout<<ans*rfact[n]%mod<<'\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 139ms
memory: 316320kb
input:
2 1
output:
499122177
result:
ok "499122177"
Test #2:
score: 0
Accepted
time: 156ms
memory: 316040kb
input:
1 1
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 186ms
memory: 316320kb
input:
167 91
output:
469117530
result:
ok "469117530"
Test #4:
score: 0
Accepted
time: 156ms
memory: 316168kb
input:
9806463 8975779
output:
125384417
result:
ok "125384417"
Test #5:
score: 0
Accepted
time: 183ms
memory: 316200kb
input:
9138576 8731432
output:
306972756
result:
ok "306972756"
Test #6:
score: 0
Accepted
time: 130ms
memory: 316176kb
input:
9978791 9033584
output:
932159263
result:
ok "932159263"
Test #7:
score: 0
Accepted
time: 160ms
memory: 316220kb
input:
9811954 9790000
output:
404679920
result:
ok "404679920"
Test #8:
score: 0
Accepted
time: 152ms
memory: 316216kb
input:
9685105 9276909
output:
32996715
result:
ok "32996715"
Test #9:
score: 0
Accepted
time: 171ms
memory: 316216kb
input:
10000000 10000000
output:
309225852
result:
ok "309225852"
Test #10:
score: 0
Accepted
time: 143ms
memory: 316240kb
input:
10000000 9999999
output:
635234302
result:
ok "635234302"
Test #11:
score: 0
Accepted
time: 165ms
memory: 316132kb
input:
10000000 9999998
output:
239117935
result:
ok "239117935"
Test #12:
score: 0
Accepted
time: 167ms
memory: 316240kb
input:
10000000 9999997
output:
294859983
result:
ok "294859983"
Test #13:
score: 0
Accepted
time: 169ms
memory: 316452kb
input:
9999999 9999999
output:
305530110
result:
ok "305530110"
Test #14:
score: 0
Accepted
time: 181ms
memory: 316180kb
input:
9999999 9999998
output:
164959553
result:
ok "164959553"
Test #15:
score: 0
Accepted
time: 163ms
memory: 316400kb
input:
9999999 9999997
output:
532215262
result:
ok "532215262"
Test #16:
score: 0
Accepted
time: 168ms
memory: 316400kb
input:
9999999 9999996
output:
123628609
result:
ok "123628609"
Test #17:
score: 0
Accepted
time: 148ms
memory: 316448kb
input:
9999998 9999998
output:
223852357
result:
ok "223852357"
Test #18:
score: 0
Accepted
time: 180ms
memory: 316376kb
input:
9999998 9999997
output:
75877991
result:
ok "75877991"
Test #19:
score: 0
Accepted
time: 152ms
memory: 316240kb
input:
9999998 9999996
output:
494540335
result:
ok "494540335"
Test #20:
score: 0
Accepted
time: 139ms
memory: 316252kb
input:
9999998 9999995
output:
19191738
result:
ok "19191738"
Test #21:
score: 0
Accepted
time: 172ms
memory: 316244kb
input:
9999997 9999997
output:
238385746
result:
ok "238385746"
Test #22:
score: 0
Accepted
time: 146ms
memory: 316232kb
input:
9999997 9999996
output:
138191521
result:
ok "138191521"
Test #23:
score: 0
Accepted
time: 185ms
memory: 316196kb
input:
9999997 9999995
output:
721536184
result:
ok "721536184"
Test #24:
score: 0
Accepted
time: 176ms
memory: 316172kb
input:
9999997 9999994
output:
627112720
result:
ok "627112720"
Test #25:
score: 0
Accepted
time: 131ms
memory: 316144kb
input:
8113616 1826492
output:
629546539
result:
ok "629546539"
Test #26:
score: 0
Accepted
time: 151ms
memory: 316160kb
input:
7230333 4233627
output:
870135249
result:
ok "870135249"
Test #27:
score: 0
Accepted
time: 152ms
memory: 316176kb
input:
9734872 9617286
output:
780426509
result:
ok "780426509"
Test #28:
score: 0
Accepted
time: 147ms
memory: 316380kb
input:
6780022 6393958
output:
508662111
result:
ok "508662111"
Test #29:
score: 0
Accepted
time: 196ms
memory: 316420kb
input:
4986441 1909344
output:
762587564
result:
ok "762587564"
Test #30:
score: 0
Accepted
time: 156ms
memory: 316076kb
input:
9936540 91728
output:
651924678
result:
ok "651924678"
Test #31:
score: 0
Accepted
time: 182ms
memory: 316020kb
input:
9099529 94239
output:
775532638
result:
ok "775532638"
Test #32:
score: 0
Accepted
time: 164ms
memory: 316092kb
input:
9564814 93545
output:
474538902
result:
ok "474538902"
Test #33:
score: 0
Accepted
time: 185ms
memory: 316128kb
input:
9707744 92094
output:
354024226
result:
ok "354024226"
Test #34:
score: 0
Accepted
time: 140ms
memory: 316340kb
input:
9167687 94820
output:
858989558
result:
ok "858989558"
Test #35:
score: 0
Accepted
time: 141ms
memory: 316032kb
input:
10000000 100000
output:
609345536
result:
ok "609345536"
Test #36:
score: 0
Accepted
time: 168ms
memory: 316068kb
input:
10000000 99999
output:
217258255
result:
ok "217258255"
Test #37:
score: 0
Accepted
time: 148ms
memory: 316352kb
input:
10000000 99998
output:
485057696
result:
ok "485057696"
Test #38:
score: 0
Accepted
time: 184ms
memory: 316080kb
input:
10000000 99997
output:
193579142
result:
ok "193579142"
Test #39:
score: 0
Accepted
time: 171ms
memory: 316148kb
input:
9999999 100000
output:
584105896
result:
ok "584105896"
Test #40:
score: 0
Accepted
time: 166ms
memory: 316072kb
input:
9999999 99999
output:
707014865
result:
ok "707014865"
Test #41:
score: 0
Accepted
time: 123ms
memory: 316032kb
input:
9999999 99998
output:
872987417
result:
ok "872987417"
Test #42:
score: 0
Accepted
time: 160ms
memory: 316276kb
input:
9999999 99997
output:
707304988
result:
ok "707304988"
Test #43:
score: 0
Accepted
time: 165ms
memory: 316144kb
input:
9999998 100000
output:
789028925
result:
ok "789028925"
Test #44:
score: 0
Accepted
time: 166ms
memory: 316032kb
input:
9999998 99999
output:
628266237
result:
ok "628266237"
Test #45:
score: 0
Accepted
time: 128ms
memory: 316036kb
input:
9999998 99998
output:
38358057
result:
ok "38358057"
Test #46:
score: 0
Accepted
time: 173ms
memory: 316156kb
input:
9999998 99997
output:
785931240
result:
ok "785931240"
Test #47:
score: 0
Accepted
time: 174ms
memory: 316128kb
input:
9999997 100000
output:
945452715
result:
ok "945452715"
Test #48:
score: 0
Accepted
time: 160ms
memory: 316148kb
input:
9999997 99999
output:
537126025
result:
ok "537126025"
Test #49:
score: 0
Accepted
time: 189ms
memory: 316352kb
input:
9999997 99998
output:
837196653
result:
ok "837196653"
Test #50:
score: 0
Accepted
time: 173ms
memory: 316080kb
input:
9999997 99997
output:
263045713
result:
ok "263045713"
Test #51:
score: 0
Accepted
time: 153ms
memory: 316036kb
input:
2 2
output:
1
result:
ok "1"
Test #52:
score: 0
Accepted
time: 193ms
memory: 316112kb
input:
3 3
output:
831870295
result:
ok "831870295"
Test #53:
score: 0
Accepted
time: 144ms
memory: 315984kb
input:
4 4
output:
374341633
result:
ok "374341633"
Test #54:
score: 0
Accepted
time: 178ms
memory: 316252kb
input:
3 2
output:
499122177
result:
ok "499122177"
Test #55:
score: 0
Accepted
time: 179ms
memory: 316104kb
input:
4 3
output:
623902721
result:
ok "623902721"
Test #56:
score: 0
Accepted
time: 171ms
memory: 316308kb
input:
5 4
output:
890101215
result:
ok "890101215"
Test #57:
score: 0
Accepted
time: 177ms
memory: 316064kb
input:
3 1
output:
166374059
result:
ok "166374059"
Test #58:
score: 0
Accepted
time: 164ms
memory: 316120kb
input:
4 2
output:
166374059
result:
ok "166374059"
Test #59:
score: 0
Accepted
time: 169ms
memory: 316248kb
input:
5 3
output:
16637406
result:
ok "16637406"
Test #60:
score: 0
Accepted
time: 174ms
memory: 316044kb
input:
6 4
output:
508827330
result:
ok "508827330"
Test #61:
score: 0
Accepted
time: 154ms
memory: 316112kb
input:
4 1
output:
291154603
result:
ok "291154603"
Test #62:
score: 0
Accepted
time: 165ms
memory: 316308kb
input:
5 2
output:
291154603
result:
ok "291154603"
Test #63:
score: 0
Accepted
time: 168ms
memory: 316108kb
input:
6 3
output:
859599304
result:
ok "859599304"
Test #64:
score: 0
Accepted
time: 161ms
memory: 316120kb
input:
7 4
output:
694809760
result:
ok "694809760"
Test #65:
score: 0
Accepted
time: 149ms
memory: 316116kb
input:
5629201 38642
output:
327294391
result:
ok "327294391"
Test #66:
score: 0
Accepted
time: 162ms
memory: 316128kb
input:
126092 74219
output:
27573951
result:
ok "27573951"
Test #67:
score: 0
Accepted
time: 177ms
memory: 316016kb
input:
8593075 8689
output:
393785113
result:
ok "393785113"
Test #68:
score: 0
Accepted
time: 173ms
memory: 316140kb
input:
1076972 58637
output:
600806929
result:
ok "600806929"
Test #69:
score: 0
Accepted
time: 181ms
memory: 316280kb
input:
463217 39187
output:
408712022
result:
ok "408712022"
Extra Test:
score: 0
Extra Test Passed