QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#358354 | #8171. Cola | SolitaryDream# | AC ✓ | 201ms | 177520kb | C++17 | 1.3kb | 2024-03-19 19:21:59 | 2024-03-19 19:21:59 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define FOR(i,s,t) for(int i=(s),_t=(t); i<=_t; ++i)
#define DOR(i,s,t) for(int i=(s),_t=(t); i>=_t; --i)
typedef long long ll;
const int N=2e7+50;
const int Mod=998244353;
ll Fast(ll x,int b) {
ll t=1;
for(; b; b>>=1,x=x*x%Mod) if(b&1) t=t*x%Mod;
return t;
}
int f[N];
int Fac[N],Inv[N];
ll C(int n,int m) {
return (ll)Fac[n]*Inv[m]%Mod*Inv[n-m]%Mod;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
Fac[0]=1;
FOR(i,1,N-1) Fac[i]=(ll)Fac[i-1]*i%Mod;
Inv[N-1]=Fast(Fac[N-1],Mod-2);
DOR(i,N-1,1) Inv[i-1]=(ll)Inv[i]*i%Mod;
int n,m;
cin >> n >> m;
f[0]=1;
int v=-1;
int w=0;
FOR(i,1,n) {
for(auto p: {i,-i}) {
int x=p*(3*p-1)/2;
if(x<=n) f[x]=v;
else {
w=1;
break;
}
}
if(w) break;
v=-v;
}
ll ans=0;
FOR(i,0,m-1) {
if(f[i]) {
// cerr << i << ' ' << f[i] << endl;
ans=(ans+(ll)f[i]*C(m-1-i+n,n))%Mod;
// cerr << i << ' ' << C(m-i+n,n) << endl;
}
}
// cerr << ans << endl;
ans=ans*Inv[n]%Mod;
if(ans<0) ans+=Mod;
cout << ans << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 181ms
memory: 159908kb
input:
2 1
output:
499122177
result:
ok "499122177"
Test #2:
score: 0
Accepted
time: 169ms
memory: 159840kb
input:
1 1
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 168ms
memory: 159844kb
input:
167 91
output:
469117530
result:
ok "469117530"
Test #4:
score: 0
Accepted
time: 201ms
memory: 177248kb
input:
9806463 8975779
output:
125384417
result:
ok "125384417"
Test #5:
score: 0
Accepted
time: 197ms
memory: 176608kb
input:
9138576 8731432
output:
306972756
result:
ok "306972756"
Test #6:
score: 0
Accepted
time: 190ms
memory: 177440kb
input:
9978791 9033584
output:
932159263
result:
ok "932159263"
Test #7:
score: 0
Accepted
time: 177ms
memory: 177256kb
input:
9811954 9790000
output:
404679920
result:
ok "404679920"
Test #8:
score: 0
Accepted
time: 173ms
memory: 177160kb
input:
9685105 9276909
output:
32996715
result:
ok "32996715"
Test #9:
score: 0
Accepted
time: 166ms
memory: 177460kb
input:
10000000 10000000
output:
309225852
result:
ok "309225852"
Test #10:
score: 0
Accepted
time: 167ms
memory: 177452kb
input:
10000000 9999999
output:
635234302
result:
ok "635234302"
Test #11:
score: 0
Accepted
time: 181ms
memory: 177448kb
input:
10000000 9999998
output:
239117935
result:
ok "239117935"
Test #12:
score: 0
Accepted
time: 175ms
memory: 177444kb
input:
10000000 9999997
output:
294859983
result:
ok "294859983"
Test #13:
score: 0
Accepted
time: 183ms
memory: 177464kb
input:
9999999 9999999
output:
305530110
result:
ok "305530110"
Test #14:
score: 0
Accepted
time: 190ms
memory: 177396kb
input:
9999999 9999998
output:
164959553
result:
ok "164959553"
Test #15:
score: 0
Accepted
time: 176ms
memory: 177492kb
input:
9999999 9999997
output:
532215262
result:
ok "532215262"
Test #16:
score: 0
Accepted
time: 157ms
memory: 177452kb
input:
9999999 9999996
output:
123628609
result:
ok "123628609"
Test #17:
score: 0
Accepted
time: 187ms
memory: 177400kb
input:
9999998 9999998
output:
223852357
result:
ok "223852357"
Test #18:
score: 0
Accepted
time: 163ms
memory: 177456kb
input:
9999998 9999997
output:
75877991
result:
ok "75877991"
Test #19:
score: 0
Accepted
time: 183ms
memory: 177504kb
input:
9999998 9999996
output:
494540335
result:
ok "494540335"
Test #20:
score: 0
Accepted
time: 192ms
memory: 177452kb
input:
9999998 9999995
output:
19191738
result:
ok "19191738"
Test #21:
score: 0
Accepted
time: 167ms
memory: 177448kb
input:
9999997 9999997
output:
238385746
result:
ok "238385746"
Test #22:
score: 0
Accepted
time: 171ms
memory: 177492kb
input:
9999997 9999996
output:
138191521
result:
ok "138191521"
Test #23:
score: 0
Accepted
time: 184ms
memory: 177404kb
input:
9999997 9999995
output:
721536184
result:
ok "721536184"
Test #24:
score: 0
Accepted
time: 178ms
memory: 177452kb
input:
9999997 9999994
output:
627112720
result:
ok "627112720"
Test #25:
score: 0
Accepted
time: 159ms
memory: 175444kb
input:
8113616 1826492
output:
629546539
result:
ok "629546539"
Test #26:
score: 0
Accepted
time: 175ms
memory: 174296kb
input:
7230333 4233627
output:
870135249
result:
ok "870135249"
Test #27:
score: 0
Accepted
time: 183ms
memory: 177180kb
input:
9734872 9617286
output:
780426509
result:
ok "780426509"
Test #28:
score: 0
Accepted
time: 166ms
memory: 173872kb
input:
6780022 6393958
output:
508662111
result:
ok "508662111"
Test #29:
score: 0
Accepted
time: 163ms
memory: 171320kb
input:
4986441 1909344
output:
762587564
result:
ok "762587564"
Test #30:
score: 0
Accepted
time: 161ms
memory: 177424kb
input:
9936540 91728
output:
651924678
result:
ok "651924678"
Test #31:
score: 0
Accepted
time: 194ms
memory: 176440kb
input:
9099529 94239
output:
775532638
result:
ok "775532638"
Test #32:
score: 0
Accepted
time: 169ms
memory: 176960kb
input:
9564814 93545
output:
474538902
result:
ok "474538902"
Test #33:
score: 0
Accepted
time: 182ms
memory: 177144kb
input:
9707744 92094
output:
354024226
result:
ok "354024226"
Test #34:
score: 0
Accepted
time: 161ms
memory: 176576kb
input:
9167687 94820
output:
858989558
result:
ok "858989558"
Test #35:
score: 0
Accepted
time: 183ms
memory: 177520kb
input:
10000000 100000
output:
609345536
result:
ok "609345536"
Test #36:
score: 0
Accepted
time: 154ms
memory: 177400kb
input:
10000000 99999
output:
217258255
result:
ok "217258255"
Test #37:
score: 0
Accepted
time: 155ms
memory: 177452kb
input:
10000000 99998
output:
485057696
result:
ok "485057696"
Test #38:
score: 0
Accepted
time: 151ms
memory: 177496kb
input:
10000000 99997
output:
193579142
result:
ok "193579142"
Test #39:
score: 0
Accepted
time: 176ms
memory: 177456kb
input:
9999999 100000
output:
584105896
result:
ok "584105896"
Test #40:
score: 0
Accepted
time: 184ms
memory: 177448kb
input:
9999999 99999
output:
707014865
result:
ok "707014865"
Test #41:
score: 0
Accepted
time: 162ms
memory: 177400kb
input:
9999999 99998
output:
872987417
result:
ok "872987417"
Test #42:
score: 0
Accepted
time: 180ms
memory: 177496kb
input:
9999999 99997
output:
707304988
result:
ok "707304988"
Test #43:
score: 0
Accepted
time: 163ms
memory: 177452kb
input:
9999998 100000
output:
789028925
result:
ok "789028925"
Test #44:
score: 0
Accepted
time: 187ms
memory: 177460kb
input:
9999998 99999
output:
628266237
result:
ok "628266237"
Test #45:
score: 0
Accepted
time: 160ms
memory: 177448kb
input:
9999998 99998
output:
38358057
result:
ok "38358057"
Test #46:
score: 0
Accepted
time: 141ms
memory: 177496kb
input:
9999998 99997
output:
785931240
result:
ok "785931240"
Test #47:
score: 0
Accepted
time: 157ms
memory: 177488kb
input:
9999997 100000
output:
945452715
result:
ok "945452715"
Test #48:
score: 0
Accepted
time: 147ms
memory: 177512kb
input:
9999997 99999
output:
537126025
result:
ok "537126025"
Test #49:
score: 0
Accepted
time: 169ms
memory: 177504kb
input:
9999997 99998
output:
837196653
result:
ok "837196653"
Test #50:
score: 0
Accepted
time: 167ms
memory: 177408kb
input:
9999997 99997
output:
263045713
result:
ok "263045713"
Test #51:
score: 0
Accepted
time: 167ms
memory: 159856kb
input:
2 2
output:
1
result:
ok "1"
Test #52:
score: 0
Accepted
time: 172ms
memory: 159804kb
input:
3 3
output:
831870295
result:
ok "831870295"
Test #53:
score: 0
Accepted
time: 182ms
memory: 159920kb
input:
4 4
output:
374341633
result:
ok "374341633"
Test #54:
score: 0
Accepted
time: 139ms
memory: 159856kb
input:
3 2
output:
499122177
result:
ok "499122177"
Test #55:
score: 0
Accepted
time: 173ms
memory: 159864kb
input:
4 3
output:
623902721
result:
ok "623902721"
Test #56:
score: 0
Accepted
time: 169ms
memory: 159800kb
input:
5 4
output:
890101215
result:
ok "890101215"
Test #57:
score: 0
Accepted
time: 169ms
memory: 159800kb
input:
3 1
output:
166374059
result:
ok "166374059"
Test #58:
score: 0
Accepted
time: 172ms
memory: 159864kb
input:
4 2
output:
166374059
result:
ok "166374059"
Test #59:
score: 0
Accepted
time: 173ms
memory: 159852kb
input:
5 3
output:
16637406
result:
ok "16637406"
Test #60:
score: 0
Accepted
time: 173ms
memory: 159852kb
input:
6 4
output:
508827330
result:
ok "508827330"
Test #61:
score: 0
Accepted
time: 169ms
memory: 159792kb
input:
4 1
output:
291154603
result:
ok "291154603"
Test #62:
score: 0
Accepted
time: 148ms
memory: 159892kb
input:
5 2
output:
291154603
result:
ok "291154603"
Test #63:
score: 0
Accepted
time: 176ms
memory: 159912kb
input:
6 3
output:
859599304
result:
ok "859599304"
Test #64:
score: 0
Accepted
time: 169ms
memory: 159844kb
input:
7 4
output:
694809760
result:
ok "694809760"
Test #65:
score: 0
Accepted
time: 181ms
memory: 172312kb
input:
5629201 38642
output:
327294391
result:
ok "327294391"
Test #66:
score: 0
Accepted
time: 178ms
memory: 160408kb
input:
126092 74219
output:
27573951
result:
ok "27573951"
Test #67:
score: 0
Accepted
time: 159ms
memory: 175880kb
input:
8593075 8689
output:
393785113
result:
ok "393785113"
Test #68:
score: 0
Accepted
time: 155ms
memory: 163676kb
input:
1076972 58637
output:
600806929
result:
ok "600806929"
Test #69:
score: 0
Accepted
time: 174ms
memory: 161596kb
input:
463217 39187
output:
408712022
result:
ok "408712022"
Extra Test:
score: 0
Extra Test Passed