QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#399960#6753. Mediansericmegalovania#AC ✓292ms199260kbC++202.0kb2024-04-26 20:15:552024-04-26 20:15:55

Judging History

你现在查看的是最新测评结果

  • [2024-04-26 20:15:55]
  • 评测
  • 测评结果:AC
  • 用时:292ms
  • 内存:199260kb
  • [2024-04-26 20:15:55]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#define ONLINE
#ifndef ONLINE
#define debug(...) fprintf(stderr,##__VA_ARGS__)
#else
#define debug(...) ;
#endif

using LL=long long;
using PII=pair<int,int>;

template<typename T>
inline T READ(){
	T x=0; bool f=0; char c=getchar();
	while(c<'0' || c>'9') f|=(c=='-'),c=getchar();
	while(c>='0' && c<='9') x=x*10+c-'0',c=getchar();
	return f?-x:x;
}
inline int read(){return READ<int>();}
inline LL readLL(){return READ<LL>();}
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

const int _1e9=1e9;
const int mod=998244353;
LL ksm19(LL b){
	LL ret=1,a=19;
	while(b){
		if(b&1) ret=ret*a%mod;
		a=a*a%mod;
		b>>=1;
	}
	return ret;
}

#define N 10000010
#define pre first
#define nxt second
PII b[N];
LL a[N];
int n,p[N];

int main(){
	n=read(),a[0]=read();
	for(int i=1;i<=n;i++){
		a[i]=(a[i-1]*998244353+_1e9+7)%(_1e9+9);
		p[i]=i;
	}
	for(int i=1;i<=n;i++){
		swap(p[i],p[(a[i]%i)+1]);
	}
	for(int i=1;i<=n;i++){
		debug("p[%d]=%d\n",i,p[i]);
	}
	for(int i=1;i<n;i++){
		b[i].nxt=i+1;
		b[i+1].pre=i;
	}
	for(int i=1;i<=n;i++){
		debug("%d|pre=%d nxt=%d\n",i,b[i].pre,b[i].nxt);
	}
	int mid=1,cnt=1;
	for(;cnt<(n+1)/2;++cnt){
		mid=b[mid].nxt;
	}
	LL mul=ksm19(n),inv=ksm19(mod-2),ans=0;
	for(int i=n;i>0;i--){
		debug("%d|%d %d\n",i,mid,cnt);
		ans=(ans+mul*mid)%mod;
		if(p[i]<mid) cnt--;
		else if(p[i]==mid){
			if(b[p[i]].pre){
				mid=b[p[i]].pre;
				cnt--;
			}
			else{
				mid=b[p[i]].nxt;
			}
		}
		if(b[p[i]].nxt){
			b[b[p[i]].nxt].pre=b[p[i]].pre;
		}
		if(b[p[i]].pre){
			b[b[p[i]].pre].nxt=b[p[i]].nxt;
		}
		for(;cnt<i/2;++cnt){
			mid=b[mid].nxt;
		}
		for(;cnt>i/2;--cnt){
			mid=b[mid].pre;
		}
		mul=mul*inv%mod;
	}
	printf("%lld\n",ans);
	return 0;
}

/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
* DON'T GET STUCK ON ONE APPROACH
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 7984kb

input:

5 0

output:

7703113

result:

ok 1 number(s): "7703113"

Test #2:

score: 0
Accepted
time: 0ms
memory: 7864kb

input:

5 1

output:

7840977

result:

ok 1 number(s): "7840977"

Test #3:

score: 0
Accepted
time: 1ms
memory: 8004kb

input:

2 1361955

output:

399

result:

ok 1 number(s): "399"

Test #4:

score: 0
Accepted
time: 1ms
memory: 7992kb

input:

4 207579012

output:

274740

result:

ok 1 number(s): "274740"

Test #5:

score: 0
Accepted
time: 1ms
memory: 7860kb

input:

8 628145516

output:

783389330

result:

ok 1 number(s): "783389330"

Test #6:

score: 0
Accepted
time: 1ms
memory: 7924kb

input:

16 376140462

output:

772072366

result:

ok 1 number(s): "772072366"

Test #7:

score: 0
Accepted
time: 1ms
memory: 7904kb

input:

32 883515280

output:

822906393

result:

ok 1 number(s): "822906393"

Test #8:

score: 0
Accepted
time: 1ms
memory: 7868kb

input:

64 186969585

output:

536948870

result:

ok 1 number(s): "536948870"

Test #9:

score: 0
Accepted
time: 1ms
memory: 7988kb

input:

128 762888635

output:

914896632

result:

ok 1 number(s): "914896632"

Test #10:

score: 0
Accepted
time: 1ms
memory: 8004kb

input:

256 326402539

output:

816864808

result:

ok 1 number(s): "816864808"

Test #11:

score: 0
Accepted
time: 1ms
memory: 7924kb

input:

512 98152102

output:

792934555

result:

ok 1 number(s): "792934555"

Test #12:

score: 0
Accepted
time: 1ms
memory: 7864kb

input:

1024 158176572

output:

187304261

result:

ok 1 number(s): "187304261"

Test #13:

score: 0
Accepted
time: 1ms
memory: 7908kb

input:

2048 61402883

output:

881629018

result:

ok 1 number(s): "881629018"

Test #14:

score: 0
Accepted
time: 1ms
memory: 8000kb

input:

4096 127860889

output:

926052991

result:

ok 1 number(s): "926052991"

Test #15:

score: 0
Accepted
time: 1ms
memory: 8044kb

input:

8192 9580638

output:

18767865

result:

ok 1 number(s): "18767865"

Test #16:

score: 0
Accepted
time: 1ms
memory: 9980kb

input:

16384 570870044

output:

676635475

result:

ok 1 number(s): "676635475"

Test #17:

score: 0
Accepted
time: 0ms
memory: 10044kb

input:

32768 646139319

output:

121314798

result:

ok 1 number(s): "121314798"

Test #18:

score: 0
Accepted
time: 2ms
memory: 8264kb

input:

65536 178509022

output:

518784793

result:

ok 1 number(s): "518784793"

Test #19:

score: 0
Accepted
time: 3ms
memory: 8504kb

input:

131072 484027666

output:

783563468

result:

ok 1 number(s): "783563468"

Test #20:

score: 0
Accepted
time: 6ms
memory: 12988kb

input:

262144 61263304

output:

560815556

result:

ok 1 number(s): "560815556"

Test #21:

score: 0
Accepted
time: 12ms
memory: 20240kb

input:

524288 841082555

output:

478037004

result:

ok 1 number(s): "478037004"

Test #22:

score: 0
Accepted
time: 13ms
memory: 28716kb

input:

1048576 558212774

output:

145045199

result:

ok 1 number(s): "145045199"

Test #23:

score: 0
Accepted
time: 45ms
memory: 50724kb

input:

2097152 940563715

output:

267114566

result:

ok 1 number(s): "267114566"

Test #24:

score: 0
Accepted
time: 104ms
memory: 91784kb

input:

4194304 26389620

output:

535216368

result:

ok 1 number(s): "535216368"

Test #25:

score: 0
Accepted
time: 211ms
memory: 172444kb

input:

8388608 579113528

output:

926081338

result:

ok 1 number(s): "926081338"

Test #26:

score: 0
Accepted
time: 291ms
memory: 199208kb

input:

10000000 496147999

output:

872799419

result:

ok 1 number(s): "872799419"

Test #27:

score: 0
Accepted
time: 292ms
memory: 199212kb

input:

10000000 925801172

output:

676521567

result:

ok 1 number(s): "676521567"

Test #28:

score: 0
Accepted
time: 280ms
memory: 199204kb

input:

10000000 837151740

output:

617759049

result:

ok 1 number(s): "617759049"

Test #29:

score: 0
Accepted
time: 284ms
memory: 199060kb

input:

10000000 70301164

output:

413391579

result:

ok 1 number(s): "413391579"

Test #30:

score: 0
Accepted
time: 278ms
memory: 199204kb

input:

10000000 656585275

output:

505441893

result:

ok 1 number(s): "505441893"

Test #31:

score: 0
Accepted
time: 274ms
memory: 199260kb

input:

10000000 285845005

output:

465986348

result:

ok 1 number(s): "465986348"

Test #32:

score: 0
Accepted
time: 284ms
memory: 199084kb

input:

10000000 902071050

output:

964328151

result:

ok 1 number(s): "964328151"