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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#91878#4900. 数列重排Reanap100 ✓455ms13352kbC++142.6kb2023-03-29 19:43:352023-03-29 19:43:36

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.
  • [2023-03-29 19:43:36]
  • 评测
  • 测评结果:100
  • 用时:455ms
  • 内存:13352kb
  • [2023-03-29 19:43:35]
  • 提交

answer

#include <bits/stdc++.h>
#define pii pair <int , int>
#define pll pair <LL , LL>
#define mp make_pair
#define fs first
#define sc second
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;

//const int Mxdt=100000;
//static char buf[Mxdt],*p1=buf,*p2=buf;
//#define getchar() p1==p2&&(p2=(p1=buf)+fread(buf,1,Mxdt,stdin),p1==p2)?EOF:*p1++;

template <typename T>
void read(T &x) {
	T f=1;x=0;char s=getchar();
	while(s<'0'||s>'9') {if(s=='-') f=-1;s=getchar();}
	while(s>='0'&&s<='9') {x=(x<<3)+(x<<1)+(s^'0');s=getchar();}
	x *= f;
}

template <typename T>
void write(T x , char s='\n') {
	if(!x) {putchar('0');putchar(s);return;}
	if(x<0) {putchar('-');x=-x;}
	T t = 0 , tmp[25] = {};
	while(x) tmp[t ++] = x % 10 , x /= 10;
	while(t -- > 0) putchar(tmp[t] + '0');
	putchar(s);
}

const int MAXN = 1e7 + 5;
const int mod = 998244353;

inline int Add(int x , int y) {x += y;return x >= mod?x - mod:x;}
inline int Sub(int x , int y) {x -= y;return x < 0?x + mod:x;}
inline int Mul(int x , int y) {return 1ll * x * y % mod;}

int m , l , r , n , X;
char s[MAXN];

int main() {
	read(m),read(l),read(r),read(X);
	scanf("%s" , s);
	
	for (int i = 0; i < m; ++i) {
		n += X + (s[i] - '0');
	}
	
	int Tot = Mul(Mul(n , n + 1) , (mod + 1) >> 1);
	int ans = 0 , B = 1 , cnt = 0;
	if(!l) l ++ , ans = Tot;
	for (int i = 0; i < l; ++i) cnt += X + (s[i] - '0') , n -= (X + (s[i] - '0')) , B = Mul(B , 233);
	
	for (int i = l; i <= r; ++i , B = Mul(B , 233)) {
		int p = cnt / i + 1;
		int cur = Add(Mul(cnt - i + 1 , i - 1) , Mul(Mul(i , i - 1) , (mod + 1) >> 1));
		// white balls and white balls (illegal)
		
		if(n >= (i - 1) * 2) {
			int lr = i - 1;
			int res = (n - lr * 2) / p , ad = n - lr * 2 - res * p;
			cur = Add(cur , Mul(Mul(res , res + 1) , Mul(p - 2 - min(ad , p - 2) , (mod + 1) >> 1)));
			cur = Add(cur , Mul(Mul(res + 1 , res + 2) , Mul(min(ad , p - 2) , (mod + 1) >> 1)));
			cur = Add(cur , Mul(Mul(lr + res + (ad >= p - 1) , lr + (ad >= p - 1) + res + 1) , (mod + 1) >> 1));
			cur = Add(cur , Mul(Mul(lr + res , lr + res + 1) , (mod + 1) >> 1));
			cur = Add(cur , Mul(n - lr * 2 - res * 2 - (ad >= p - 1) , 2 * i - 2));
			cur = Add(cur , Mul(lr * 2 + res * 2 + (ad >= p - 1) , i - 1));
		}
		else {
			int lr = n / 2 , rr = n - lr;
			cur = Add(cur , Mul(Mul(lr , lr + 1) , (mod + 1) >> 1));
			cur = Add(cur , Mul(Mul(rr , rr + 1) , (mod + 1) >> 1));
			cur = Add(cur , Mul(n , i - 1));
		}
		
		// other cases (illegal)
		
//		write(Sub(Tot , cur));
		ans ^= Mul(B , Sub(Tot , cur));
		cnt += X + (s[i] - '0');
		n -= (X + (s[i] - '0'));
	}
	
	write(ans);
	
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 0ms
memory: 3428kb

input:

2 0 2 2
01

output:

541257

result:

ok 1 number(s): "541257"

Test #2:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

4 1 4 2
00001

output:

525797597

result:

ok 1 number(s): "525797597"

Test #3:

score: 0
Accepted
time: 2ms
memory: 3536kb

input:

9 0 9 1
000000000

output:

711136343

result:

ok 1 number(s): "711136343"

Test #4:

score: 0
Accepted
time: 2ms
memory: 3656kb

input:

1 0 1 9
0

output:

10456

result:

ok 1 number(s): "10456"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3668kb

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: 2ms
memory: 3428kb

input:

21 0 21 9
111010011100100100000

output:

171658329

result:

ok 1 number(s): "171658329"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3432kb

input:

200 0 200 1
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

output:

287932632

result:

ok 1 number(s): "287932632"

Test #8:

score: 0
Accepted
time: 2ms
memory: 3436kb

input:

120 3 119 1
101000110101001100011100001011101110101010000011101110010101101000111100111100001001010010110001110011001010110001101111

output:

856785458

result:

ok 1 number(s): "856785458"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3668kb

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: 0ms
memory: 3548kb

input:

10 1 9 499
0110011010

output:

47418354

result:

ok 1 number(s): "47418354"

Test #11:

score: 0
Accepted
time: 2ms
memory: 3592kb

input:

100 0 100 49
1100100011111101111111001000000100010000101010110000011011110100100011111000111101100010001000001100

output:

100314042

result:

ok 1 number(s): "100314042"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3432kb

input:

1000 0 1000 4
1011110001101000100110000111011110101100110011100010001100001101000111100011100011110101000010000100101011010110000110100011011010011000111100100100100001000011001000000000111001010001000000110001001011100010011101010011011110001101000010010000101000100001111101001100100001010010001100...

output:

738329201

result:

ok 1 number(s): "738329201"

Test #13:

score: 0
Accepted
time: 2ms
memory: 3592kb

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: 2ms
memory: 3600kb

input:

2 0 1 114514
10

output:

934764137

result:

ok 1 number(s): "934764137"

Test #15:

score: 0
Accepted
time: 2ms
memory: 3536kb

input:

2 0 1 1919810
01

output:

685371514

result:

ok 1 number(s): "685371514"

Test #16:

score: 0
Accepted
time: 2ms
memory: 3668kb

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: 8ms
memory: 5924kb

input:

1000000 1000000 1000000 928
01100010010000000101111110001111011101111000011110100101011110011001001000011000110101101100111110000100101010111001111100010011100110000000111110110100001100000000011101100001010001010000010000001001000110011111010101111100001001110110010100000011000010010001111010011100...

output:

437299311

result:

ok 1 number(s): "437299311"

Test #18:

score: 0
Accepted
time: 1ms
memory: 3544kb

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: 25ms
memory: 4516kb

input:

1000000 0 1000000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

852768823

result:

ok 1 number(s): "852768823"

Test #20:

score: 0
Accepted
time: 24ms
memory: 6160kb

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: 5ms
memory: 5848kb

input:

1000000 0 9823 627
01110001011101001100010011100101001011000011011110001101010000000101010111110111110010010001110100101001111000111100011101111001000000100111000010010100010101110110111110100010101010001110111001100011010001111000101010000110010010101110101010111110110001110111111000001110000110011...

output:

383638431

result:

ok 1 number(s): "383638431"

Test #22:

score: 0
Accepted
time: 7ms
memory: 6028kb

input:

1000000 456755 465755 982
0100111111100111100010100011110111111101011111101110010011101011110011111010110000110001101001011101000110111100110100101111101011111010101011101000011101100000000111000010101011011000111010101101111011100101010010000110101011110010101011111101110101100010000100001110000100...

output:

982882798

result:

ok 1 number(s): "982882798"

Test #23:

score: 0
Accepted
time: 2ms
memory: 3588kb

input:

1000 0 1000 999999
11101000001100101110100011011111010000110101000000010101111010110110100110000001101110100011010111001000000010110101110001010111101000100010010010110000000001011110010010101111110000100001000111000010110001100100011100001000111001110110001010100000110110000110001111101101000010111...

output:

337235666

result:

ok 1 number(s): "337235666"

Test #24:

score: 0
Accepted
time: 6ms
memory: 6156kb

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: 40ms
memory: 4412kb

input:

1000000 1 999999 632
111111100000011110001111101100010010111100000010101111111001010001101011101110001010010101001000111110101010100010011001101111011111011000011111011100101011110011000100100110111100101010000110010011110010111011001011001001001111000100000011101001100011011001100100011010000010100...

output:

610044514

result:

ok 1 number(s): "610044514"

Test #26:

score: 0
Accepted
time: 51ms
memory: 6180kb

input:

1000000 0 1000000 888
11011001110110111010100110110001000101110100001111110000011110101010110001100101010001110101010111001110100000110101000000011001111100100000010101100000011100110001011010110100001100111010100111011000110100100101110010100001100100000101000001101011010111001000101001110001111000...

output:

255140225

result:

ok 1 number(s): "255140225"

Test #27:

score: 0
Accepted
time: 47ms
memory: 4408kb

input:

1000000 0 1000000 1000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

1066353724

result:

ok 1 number(s): "1066353724"

Test #28:

score: 0
Accepted
time: 2ms
memory: 3708kb

input:

100 0 100 9999999
1000101010111010100001001100001001100101000000111000000000111010000000000000101001110011001000111011

output:

583823543

result:

ok 1 number(s): "583823543"

Test #29:

score: 0
Accepted
time: 80ms
memory: 6760kb

input:

2000000 0 2000000 499
11100010011000101100101001000010010011110000000110011101001000100010101101010001011001001011100000111010100110011111001100100101000001000010010000000000011111011100100100110001110011101100110101001011011101001111010100010011001101111110110100010011110111010110100000101100101100...

output:

356463868

result:

ok 1 number(s): "356463868"

Test #30:

score: 0
Accepted
time: 80ms
memory: 7564kb

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: 455ms
memory: 13352kb

input:

10000000 0 10000000 99
0011100100001001101101010011001111100000001110100000000100110100110110111110010010001001100100000111111100111100001110101001011101000101001001001010001011110101001101011001110011100011010101001101001111000010110011010000011011110110100001001101110111101101010011010011111111011...

output:

704917900

result:

ok 1 number(s): "704917900"

Test #32:

score: 0
Accepted
time: 419ms
memory: 13280kb

input:

10000000 0 10000000 99
1101011001100000100101000101100000011010001111111111000000001011001111101101100100001100001100000001000011110001101010001001100001011110100101011010000011001011110010011000111101100000001100001100000100000011000101110000001001100111001011011000101110001101110010001110001110111...

output:

850705320

result:

ok 1 number(s): "850705320"