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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#87750#4900. 数列重排Cring100 ✓287ms52380kbC++201.6kb2023-03-14 08:58:212023-03-14 08:58:53

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-14 08:58:53]
  • 评测
  • 测评结果:100
  • 用时:287ms
  • 内存:52380kb
  • [2023-03-14 08:58:21]
  • 提交

answer

#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=(a);i<=(b);i++)
#define per(i,a,b) for(int i=(a);i>=(b);i--)
#define op(x) ((x&1)?x+1:x-1)
#define odd(x) (x&1)
#define even(x) (!odd(x))
#define lc(x) (x<<1)
#define rc(x) (lc(x)|1)
#define lowbit(x) (x&-x)
#define mp(x,y) make_pair(x,y)
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
using namespace std;
const int MAXN=1e7+10,LIM=1e7,mod=998244353;
void add(int& x,int y){x=(x+y)%mod;}
void sub(int& x,int y){x=(x-y+mod)%mod;}

int pw[MAXN];
int n,m,l,r,x,ans,cnt;
char s[MAXN];

ll C(ll n){
	return n*(n+1)/2;
}

int solve(ll k){
	if(k==0)return C(n)%mod;
	int num;
	ll all=C(n);

	if(cnt!=k)num=x;
	else num=x+1;
	
	all-=(C(k*x+cnt)-C(k*(x-1)+cnt+1));

	int rest=n-k*x-cnt;

	if(rest < 2*(k-1)){
		int L=rest/2,R=rest-L; //左边界L个,右边界R个
		all-=( C(L)+C(R)+rest*(k-1) );

	}else{
		rest-=2*(k-1);
		int L=k-1,R=k-1;
		int rv=rest/(num+1);
		int rcnt=min(num-1,rest%(num+1));
		L+=rv,R+=rv;
		if(rest%(num+1) >= num)L++;
		//左边界L个,右边界R个,中间部分rcnt个取rv+1,num-1-rcnt个取rv

		all-=(C(L)+C(R)+C(rv+1)*rcnt+C(rv)*(num-1-rcnt));
		all-=((L+R)*(k-1) + (rcnt*(rv+1)+(num-1-rcnt)*rv)*(2*k-2));
	}

	return all%mod;
}
int main(){
	pw[0]=1;rep(i,1,LIM)pw[i]=1ll*pw[i-1]*233%mod;

	ios::sync_with_stdio(false);
	cin>>m>>l>>r>>x>>s;
	n=m*x;rep(i,0,m-1)n+=(s[i]=='1');

	rep(i,0,l-1)cnt+=(s[i]=='1');
	rep(i,l,r){
		int val=solve(i);
		
		val=1ll*val*pw[i]%mod;
		ans^=val;
		
		cnt+=(s[i]=='1');
	}
	cout<<ans<<endl;

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 35ms
memory: 42408kb

input:

2 0 2 2
01

output:

541257

result:

ok 1 number(s): "541257"

Test #2:

score: 0
Accepted
time: 61ms
memory: 42448kb

input:

4 1 4 2
00001

output:

525797597

result:

ok 1 number(s): "525797597"

Test #3:

score: 0
Accepted
time: 46ms
memory: 42452kb

input:

9 0 9 1
000000000

output:

711136343

result:

ok 1 number(s): "711136343"

Test #4:

score: 0
Accepted
time: 39ms
memory: 42436kb

input:

1 0 1 9
0

output:

10456

result:

ok 1 number(s): "10456"

Test #5:

score: 0
Accepted
time: 41ms
memory: 42580kb

input:

2 1 2 3
11


output:

1518844

result:

ok 1 number(s): "1518844"

Subtask #2:

score: 15
Accepted

Dependency #1:

100%
Accepted

Test #6:

score: 15
Accepted
time: 39ms
memory: 42452kb

input:

21 0 21 9
111010011100100100000

output:

171658329

result:

ok 1 number(s): "171658329"

Test #7:

score: 0
Accepted
time: 59ms
memory: 42456kb

input:

200 0 200 1
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

output:

287932632

result:

ok 1 number(s): "287932632"

Test #8:

score: 0
Accepted
time: 58ms
memory: 42620kb

input:

120 3 119 1
101000110101001100011100001011101110101010000011101110010101101000111100111100001001010010110001110011001010110001101111

output:

856785458

result:

ok 1 number(s): "856785458"

Test #9:

score: 0
Accepted
time: 53ms
memory: 42616kb

input:

2 0 2 99
10

output:

67513337

result:

ok 1 number(s): "67513337"

Subtask #3:

score: 15
Accepted

Dependency #2:

100%
Accepted

Test #10:

score: 15
Accepted
time: 53ms
memory: 42580kb

input:

10 1 9 499
0110011010

output:

47418354

result:

ok 1 number(s): "47418354"

Test #11:

score: 0
Accepted
time: 56ms
memory: 42588kb

input:

100 0 100 49
1100100011111101111111001000000100010000101010110000011011110100100011111000111101100010001000001100

output:

100314042

result:

ok 1 number(s): "100314042"

Test #12:

score: 0
Accepted
time: 50ms
memory: 42504kb

input:

1000 0 1000 4
1011110001101000100110000111011110101100110011100010001100001101000111100011100011110101000010000100101011010110000110100011011010011000111100100100100001000011001000000000111001010001000000110001001011100010011101010011011110001101000010010000101000100001111101001100100001010010001100...

output:

738329201

result:

ok 1 number(s): "738329201"

Test #13:

score: 0
Accepted
time: 36ms
memory: 42620kb

input:

5000 0 5000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

76076468

result:

ok 1 number(s): "76076468"

Subtask #4:

score: 5
Accepted

Test #14:

score: 5
Accepted
time: 43ms
memory: 42608kb

input:

2 0 1 114514
10

output:

934764137

result:

ok 1 number(s): "934764137"

Test #15:

score: 0
Accepted
time: 49ms
memory: 42500kb

input:

2 0 1 1919810
01

output:

685371514

result:

ok 1 number(s): "685371514"

Test #16:

score: 0
Accepted
time: 45ms
memory: 42432kb

input:

2 0 1 500000000
00

output:

318651831

result:

ok 1 number(s): "318651831"

Subtask #5:

score: 10
Accepted

Test #17:

score: 10
Accepted
time: 42ms
memory: 43528kb

input:

1000000 1000000 1000000 928
01100010010000000101111110001111011101111000011110100101011110011001001000011000110101101100111110000100101010111001111100010011100110000000111110110100001100000000011101100001010001010000010000001001000110011111010101111100001001110110010100000011000010010001111010011100...

output:

437299311

result:

ok 1 number(s): "437299311"

Test #18:

score: 0
Accepted
time: 41ms
memory: 42612kb

input:

100 100 100 10000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

output:

119118463

result:

ok 1 number(s): "119118463"

Subtask #6:

score: 10
Accepted

Test #19:

score: 10
Accepted
time: 62ms
memory: 43416kb

input:

1000000 0 1000000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

852768823

result:

ok 1 number(s): "852768823"

Test #20:

score: 0
Accepted
time: 64ms
memory: 43444kb

input:

1000000 0 1000000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

852768823

result:

ok 1 number(s): "852768823"

Subtask #7:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 58ms
memory: 43416kb

input:

1000000 0 9823 627
01110001011101001100010011100101001011000011011110001101010000000101010111110111110010010001110100101001111000111100011101111001000000100111000010010100010101110110111110100010101010001110111001100011010001111000101010000110010010101110101010111110110001110111111000001110000110011...

output:

383638431

result:

ok 1 number(s): "383638431"

Test #22:

score: 0
Accepted
time: 59ms
memory: 43564kb

input:

1000000 456755 465755 982
0100111111100111100010100011110111111101011111101110010011101011110011111010110000110001101001011101000110111100110100101111101011111010101011101000011101100000000111000010101011011000111010101101111011100101010010000110101011110010101011111101110101100010000100001110000100...

output:

982882798

result:

ok 1 number(s): "982882798"

Test #23:

score: 0
Accepted
time: 45ms
memory: 42624kb

input:

1000 0 1000 999999
11101000001100101110100011011111010000110101000000010101111010110110100110000001101110100011010111001000000010110101110001010111101000100010010010110000000001011110010010101111110000100001000111000010110001100100011100001000111001110110001010100000110110000110001111101101000010111...

output:

337235666

result:

ok 1 number(s): "337235666"

Test #24:

score: 0
Accepted
time: 52ms
memory: 43476kb

input:

1000000 990001 1000000 999
110110000110101111001000001001011000010000101001111110001101100011001001111001010001110110010111110100000101110000101101000111001100010100010100001001001011011100001010111100110110011001110010001110011001111100011001100111110000111011011100100100011111101100011000100011011...

output:

794028825

result:

ok 1 number(s): "794028825"

Subtask #8:

score: 15
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Dependency #6:

100%
Accepted

Dependency #7:

100%
Accepted

Test #25:

score: 15
Accepted
time: 62ms
memory: 43480kb

input:

1000000 1 999999 632
111111100000011110001111101100010010111100000010101111111001010001101011101110001010010101001000111110101010100010011001101111011111011000011111011100101011110011000100100110111100101010000110010011110010111011001011001001001111000100000011101001100011011001100100011010000010100...

output:

610044514

result:

ok 1 number(s): "610044514"

Test #26:

score: 0
Accepted
time: 71ms
memory: 43480kb

input:

1000000 0 1000000 888
11011001110110111010100110110001000101110100001111110000011110101010110001100101010001110101010111001110100000110101000000011001111100100000010101100000011100110001011010110100001100111010100111011000110100100101110010100001100100000101000001101011010111001000101001110001111000...

output:

255140225

result:

ok 1 number(s): "255140225"

Test #27:

score: 0
Accepted
time: 63ms
memory: 43444kb

input:

1000000 0 1000000 1000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

1066353724

result:

ok 1 number(s): "1066353724"

Test #28:

score: 0
Accepted
time: 20ms
memory: 42504kb

input:

100 0 100 9999999
1000101010111010100001001100001001100101000000111000000000111010000000000000101001110011001000111011

output:

583823543

result:

ok 1 number(s): "583823543"

Test #29:

score: 0
Accepted
time: 118ms
memory: 44392kb

input:

2000000 0 2000000 499
11100010011000101100101001000010010011110000000110011101001000100010101101010001011001001011100000111010100110011111001100100101000001000010010000000000011111011100100100110001110011101100110101001011011101001111010100010011001101111110110100010011110111010110100000101100101100...

output:

356463868

result:

ok 1 number(s): "356463868"

Test #30:

score: 0
Accepted
time: 84ms
memory: 44408kb

input:

2000000 0 2000000 499
00010101111100001110110010101100100111001010011100011011001100101001001111110001010011100000001101010001111000000010111011111110111010111010010010000011011110001110010000000000110000101110110101010011101101011001011001011110100010101000000011010100010010101000010111101110000111...

output:

111807544

result:

ok 1 number(s): "111807544"

Subtask #9:

score: 10
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Dependency #6:

100%
Accepted

Dependency #7:

100%
Accepted

Dependency #8:

100%
Accepted

Test #31:

score: 10
Accepted
time: 268ms
memory: 52312kb

input:

10000000 0 10000000 99
0011100100001001101101010011001111100000001110100000000100110100110110111110010010001001100100000111111100111100001110101001011101000101001001001010001011110101001101011001110011100011010101001101001111000010110011010000011011110110100001001101110111101101010011010011111111011...

output:

704917900

result:

ok 1 number(s): "704917900"

Test #32:

score: 0
Accepted
time: 287ms
memory: 52380kb

input:

10000000 0 10000000 99
1101011001100000100101000101100000011010001111111111000000001011001111101101100100001100001100000001000011110001101010001001100001011110100101011010000011001011110010011000111101100000001100001100000100000011000101110000001001100111001011011000101110001101110010001110001110111...

output:

850705320

result:

ok 1 number(s): "850705320"