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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#73705#2618. Casual DancersyllcmAC ✓210ms19932kbC++173.2kb2023-01-27 16:50:202023-01-27 16:50:22

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-01-27 16:50:22]
  • Judged
  • Verdict: AC
  • Time: 210ms
  • Memory: 19932kb
  • [2023-01-27 16:50:20]
  • Submitted

answer

#include<bits/stdc++.h>
#define ll long long    
#define ull unsigned long long
#define db double
#define ldb long double
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define FR first
#define SE second
using namespace std;
inline int read() {
    int x = 0; bool op = 0;
    char c = getchar();
    while(!isdigit(c))op |= (c == '-'), c = getchar();
    while(isdigit(c))x = (x << 1) + (x << 3) + (c ^ 48), c = getchar();
    return op ? -x : x;
}
const int N = (1 << 20) + 10;
const int P = 998244353;
void add(int &a, int b) {a = (a + b) % P;}
void sub(int &a, int b) {a = (a - b + P) % P;}
int ksm(int x, int k) {
    int res = 1;
    for(int pw = x; k; (k & 1) ? res = 1ll * res * pw % P : 0, pw = 1ll * pw * pw % P, k >>= 1);
    return res;
}
int fac[N], ifac[N], pw[N], ipw[N];
void init() {
    fac[0] = ifac[0] = 1;
    for(int i = 1; i < N; i++)fac[i] = 1ll * fac[i - 1] * i % P;
    ifac[N - 1] = ksm(fac[N - 1], P - 2);
    for(int i = N - 2; i; i--)ifac[i] = 1ll * ifac[i + 1] * (i + 1) % P;
    for(int i = 1; i <= 20; i++)pw[1 << i] = ksm(3, (P - 1) / (1 << i));
    for(int i = 1; i <= 20; i++)ipw[1 << i] = ksm(pw[1 << i], P - 2);
    return ;
}
int inv(int x) {return 1ll * ifac[x] * fac[x - 1] % P;}
int rev[N];
void NTT(int *f, int len, int op) {
    for(int i = 0; i < len; i++)rev[i] = (rev[i >> 1] >> 1) | ((i & 1) * (len >> 1));
    for(int i = 0; i < len; i++)if(i < rev[i])swap(f[i], f[rev[i]]);
    for(int k = 2; k <= len; k <<= 1) {
        for(int i = 0; i < len; i += k) {
            int gn = (op == 1 ? pw[k] : ipw[k]), g = 1;
            for(int j = i; j < i + k / 2; j++, g = 1ll * g * gn % P) {
                int x = f[j], y = 1ll * g * f[j + k / 2] % P;
                f[j] = (x + y) % P; f[j + k / 2] = (x - y + P) % P;
            }
        }
    }
    if(op == -1) {
        for(int i = 0; i < len; i++) {
            f[i] = 1ll * f[i] * inv(len) % P;
        }
    }
    return ;
}
int k, p, dg, ans, a[3];
int f[N], g[N];
void cpy() {
    for(int i = 0; i <= dg; i++)g[i] = f[i];
    return ;
}
void calc(int x) {
    for(int i = 0; i <= dg; i++) {
        add(ans, 1ll * f[i] * abs(x + i - k) % P);
    }
    return ;
}
int main() { 
    init();
    for(int i = 0; i < 3; i++)a[i] = read();
    k = read(); p = read();
    f[0] = 1; f[1] = 1; f[2] = 1; dg = 2;
    int lim = 0; while((1 << (lim + 1)) <= k)lim++;
    for(int s = lim - 1; ~s; s--) {
        cpy();
        int ln = 1; while(ln < (dg << 1) + 5)ln <<= 1;
        NTT(f, ln, 1); NTT(g, ln, 1);
        for(int i = 0; i < ln; i++)f[i] = 1ll * f[i] * g[i] % P;
        NTT(f, ln, -1); dg <<= 1;
        for(int i = 0; i < ln; i++)g[i] = 0;
        // printf("now:%d %d\n", s, dg);
        // for(int i = 0; i <= dg; i++)printf("%d ", f[i]); putchar('\n');
        if(k >> s & 1) {
            for(int i = dg; ~i; i--) {
                add(f[i + 2], f[i]);
                add(f[i + 1], f[i]);
            }
            dg += 2;
        } 
    }
    // for(int i = 0; i <= 2 * k; i++)printf("%d ", f[i]); putchar('\n');
    calc(a[0] - a[1]); calc(a[1] - a[2]); calc(a[2] - a[0]);
    printf("%lld\n", 1ll * ans * ksm(2, P - 2) % P * ksm(ksm(3, k), P - 2) % P);
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 14ms
memory: 13260kb

input:

0 0 0
1
58

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 13ms
memory: 13912kb

input:

1 2 2
1
100

output:

332748119

result:

ok 1 number(s): "332748119"

Test #3:

score: 0
Accepted
time: 7ms
memory: 12420kb

input:

5 2 3
4
50

output:

160212060

result:

ok 1 number(s): "160212060"

Test #4:

score: 0
Accepted
time: 7ms
memory: 13460kb

input:

-2 -1 1
2
71

output:

443664160

result:

ok 1 number(s): "443664160"

Test #5:

score: 0
Accepted
time: 3ms
memory: 11804kb

input:

-1 0 -1
4
8

output:

751764268

result:

ok 1 number(s): "751764268"

Test #6:

score: 0
Accepted
time: 11ms
memory: 11808kb

input:

-2 -2 2
5
54

output:

801060288

result:

ok 1 number(s): "801060288"

Test #7:

score: 0
Accepted
time: 16ms
memory: 11928kb

input:

-2 2 4
8
36

output:

353135983

result:

ok 1 number(s): "353135983"

Test #8:

score: 0
Accepted
time: 4ms
memory: 11748kb

input:

8 -7 1
7
28

output:

15

result:

ok 1 number(s): "15"

Test #9:

score: 0
Accepted
time: 10ms
memory: 11804kb

input:

-7 -8 0
16
54

output:

159363041

result:

ok 1 number(s): "159363041"

Test #10:

score: 0
Accepted
time: 1ms
memory: 11984kb

input:

5 11 -11
9
32

output:

717226646

result:

ok 1 number(s): "717226646"

Test #11:

score: 0
Accepted
time: 10ms
memory: 11812kb

input:

-16 1 -9
32
8

output:

855967855

result:

ok 1 number(s): "855967855"

Test #12:

score: 0
Accepted
time: 5ms
memory: 11804kb

input:

-13 28 28
37
80

output:

116405794

result:

ok 1 number(s): "116405794"

Test #13:

score: 0
Accepted
time: 12ms
memory: 11796kb

input:

6 26 -25
64
21

output:

91053409

result:

ok 1 number(s): "91053409"

Test #14:

score: 0
Accepted
time: 18ms
memory: 11816kb

input:

-39 23 1
31
64

output:

742331784

result:

ok 1 number(s): "742331784"

Test #15:

score: 0
Accepted
time: 16ms
memory: 11964kb

input:

-32 42 43
128
87

output:

57822539

result:

ok 1 number(s): "57822539"

Test #16:

score: 0
Accepted
time: 10ms
memory: 12044kb

input:

-80 55 -106
142
29

output:

435655440

result:

ok 1 number(s): "435655440"

Test #17:

score: 0
Accepted
time: 6ms
memory: 11760kb

input:

0 -83 -106
256
55

output:

120508896

result:

ok 1 number(s): "120508896"

Test #18:

score: 0
Accepted
time: 11ms
memory: 11804kb

input:

-100 -123 -167
91
74

output:

285780715

result:

ok 1 number(s): "285780715"

Test #19:

score: 0
Accepted
time: 18ms
memory: 11824kb

input:

252 -176 -239
512
49

output:

835642397

result:

ok 1 number(s): "835642397"

Test #20:

score: 0
Accepted
time: 15ms
memory: 12008kb

input:

-37 -124 151
867
76

output:

225290884

result:

ok 1 number(s): "225290884"

Test #21:

score: 0
Accepted
time: 11ms
memory: 11796kb

input:

-316 149 -149
1024
87

output:

374987754

result:

ok 1 number(s): "374987754"

Test #22:

score: 0
Accepted
time: 12ms
memory: 11784kb

input:

370 545 81
1073
69

output:

943329809

result:

ok 1 number(s): "943329809"

Test #23:

score: 0
Accepted
time: 13ms
memory: 11896kb

input:

-81 182 532
2048
87

output:

843173062

result:

ok 1 number(s): "843173062"

Test #24:

score: 0
Accepted
time: 3ms
memory: 11960kb

input:

-1229 -1607 319
199
24

output:

1926

result:

ok 1 number(s): "1926"

Test #25:

score: 0
Accepted
time: 17ms
memory: 12144kb

input:

43 -419 -613
4096
46

output:

418220629

result:

ok 1 number(s): "418220629"

Test #26:

score: 0
Accepted
time: 5ms
memory: 12048kb

input:

3434 -3146 -1774
2601
46

output:

705802517

result:

ok 1 number(s): "705802517"

Test #27:

score: 0
Accepted
time: 15ms
memory: 12368kb

input:

2193 -2331 2901
8192
75

output:

728593792

result:

ok 1 number(s): "728593792"

Test #28:

score: 0
Accepted
time: 13ms
memory: 11856kb

input:

233 -4307 -4363
1093
81

output:

303899847

result:

ok 1 number(s): "303899847"

Test #29:

score: 0
Accepted
time: 34ms
memory: 12720kb

input:

-4522 762 8059
16384
34

output:

190696426

result:

ok 1 number(s): "190696426"

Test #30:

score: 0
Accepted
time: 22ms
memory: 12568kb

input:

-5155 -3639 15798
24822
55

output:

808461103

result:

ok 1 number(s): "808461103"

Test #31:

score: 0
Accepted
time: 52ms
memory: 13280kb

input:

15234 4368 12248
32768
19

output:

115861480

result:

ok 1 number(s): "115861480"

Test #32:

score: 0
Accepted
time: 44ms
memory: 13580kb

input:

820 30492 3951
42789
76

output:

826647308

result:

ok 1 number(s): "826647308"

Test #33:

score: 0
Accepted
time: 103ms
memory: 14876kb

input:

1372 -24835 -24597
65536
65

output:

355997764

result:

ok 1 number(s): "355997764"

Test #34:

score: 0
Accepted
time: 95ms
memory: 15116kb

input:

-59726 17559 -45875
87143
58

output:

326130350

result:

ok 1 number(s): "326130350"

Test #35:

score: 0
Accepted
time: 195ms
memory: 17952kb

input:

-27584 51950 23030
131072
74

output:

325794325

result:

ok 1 number(s): "325794325"

Test #36:

score: 0
Accepted
time: 193ms
memory: 19176kb

input:

61155 52006 74974
164861
5

output:

160748350

result:

ok 1 number(s): "160748350"

Test #37:

score: 0
Accepted
time: 196ms
memory: 17960kb

input:

41344 -81596 -95774
200000
59

output:

965482998

result:

ok 1 number(s): "965482998"

Test #38:

score: 0
Accepted
time: 34ms
memory: 12684kb

input:

42056 -90767 -54649
24350
63

output:

132823

result:

ok 1 number(s): "132823"

Test #39:

score: 0
Accepted
time: 188ms
memory: 19932kb

input:

-74335 43393 57021
199994
67

output:

310210583

result:

ok 1 number(s): "310210583"

Test #40:

score: 0
Accepted
time: 190ms
memory: 18616kb

input:

-80838 73772 -18618
134415
57

output:

346157175

result:

ok 1 number(s): "346157175"

Test #41:

score: 0
Accepted
time: 190ms
memory: 18184kb

input:

37457 74497 -81166
199997
59

output:

26667908

result:

ok 1 number(s): "26667908"

Test #42:

score: 0
Accepted
time: 194ms
memory: 19280kb

input:

31109 -65140 -77085
162412
46

output:

12858959

result:

ok 1 number(s): "12858959"

Test #43:

score: 0
Accepted
time: 194ms
memory: 18604kb

input:

-58550 -97769 66373
199995
86

output:

789346262

result:

ok 1 number(s): "789346262"

Test #44:

score: 0
Accepted
time: 97ms
memory: 15056kb

input:

7739 58831 72332
124270
16

output:

167162440

result:

ok 1 number(s): "167162440"

Test #45:

score: 0
Accepted
time: 194ms
memory: 18616kb

input:

-97901 25173 -99145
199999
52

output:

797290311

result:

ok 1 number(s): "797290311"

Test #46:

score: 0
Accepted
time: 99ms
memory: 16220kb

input:

-87118 -60882 -86669
126103
23

output:

487838027

result:

ok 1 number(s): "487838027"

Test #47:

score: 0
Accepted
time: 208ms
memory: 19628kb

input:

-71646 69885 70206
200000
27

output:

285981891

result:

ok 1 number(s): "285981891"

Test #48:

score: 0
Accepted
time: 93ms
memory: 15584kb

input:

14475 -77173 -5177
117777
51

output:

251933976

result:

ok 1 number(s): "251933976"

Test #49:

score: 0
Accepted
time: 210ms
memory: 17952kb

input:

-35780 37165 54712
199996
14

output:

763964192

result:

ok 1 number(s): "763964192"

Test #50:

score: 0
Accepted
time: 93ms
memory: 16504kb

input:

15709 -72676 -22298
101968
17

output:

406652317

result:

ok 1 number(s): "406652317"

Test #51:

score: 0
Accepted
time: 195ms
memory: 19548kb

input:

74572 -98701 -56974
199991
62

output:

55467556

result:

ok 1 number(s): "55467556"

Test #52:

score: 0
Accepted
time: 198ms
memory: 18676kb

input:

-14644 -10031 -50353
168383
43

output:

376814948

result:

ok 1 number(s): "376814948"

Test #53:

score: 0
Accepted
time: 180ms
memory: 17944kb

input:

22388 51898 80903
199995
89

output:

832434478

result:

ok 1 number(s): "832434478"

Test #54:

score: 0
Accepted
time: 88ms
memory: 14872kb

input:

34062 -76211 -25545
127193
91

output:

234760702

result:

ok 1 number(s): "234760702"

Test #55:

score: 0
Accepted
time: 191ms
memory: 17948kb

input:

-19645 -45450 -16512
200000
77

output:

759439547

result:

ok 1 number(s): "759439547"

Test #56:

score: 0
Accepted
time: 27ms
memory: 12724kb

input:

98957 80512 -24606
20311
30

output:

985804570

result:

ok 1 number(s): "985804570"

Test #57:

score: 0
Accepted
time: 182ms
memory: 18016kb

input:

-87259 -11505 14596
199994
83

output:

160520754

result:

ok 1 number(s): "160520754"

Test #58:

score: 0
Accepted
time: 197ms
memory: 17948kb

input:

0 0 0
200000
0

output:

393458944

result:

ok 1 number(s): "393458944"

Test #59:

score: 0
Accepted
time: 191ms
memory: 18284kb

input:

0 0 0
200000
100

output:

393458944

result:

ok 1 number(s): "393458944"

Test #60:

score: 0
Accepted
time: 195ms
memory: 18220kb

input:

-100000 -100000 -100000
200000
75

output:

393458944

result:

ok 1 number(s): "393458944"

Test #61:

score: 0
Accepted
time: 194ms
memory: 19552kb

input:

100000 100000 100000
200000
63

output:

393458944

result:

ok 1 number(s): "393458944"

Test #62:

score: 0
Accepted
time: 183ms
memory: 18100kb

input:

100000 0 -100000
200000
56

output:

678255914

result:

ok 1 number(s): "678255914"

Test #63:

score: 0
Accepted
time: 193ms
memory: 18128kb

input:

0 1 2
200000
22

output:

630634769

result:

ok 1 number(s): "630634769"

Test #64:

score: 0
Accepted
time: 8ms
memory: 13236kb

input:

100000 0 -100000
1
32

output:

200000

result:

ok 1 number(s): "200000"

Test #65:

score: 0
Accepted
time: 10ms
memory: 12048kb

input:

100000 100000 100000
1
33

output:

1

result:

ok 1 number(s): "1"

Test #66:

score: 0
Accepted
time: 9ms
memory: 11696kb

input:

-100000 -100000 -100000
1
6

output:

1

result:

ok 1 number(s): "1"

Test #67:

score: 0
Accepted
time: 10ms
memory: 11960kb

input:

100000 100000 -100000
1
7

output:

332948118

result:

ok 1 number(s): "332948118"

Test #68:

score: 0
Accepted
time: 16ms
memory: 11748kb

input:

-100000 -100000 100000
1
40

output:

332948118

result:

ok 1 number(s): "332948118"

Test #69:

score: 0
Accepted
time: 12ms
memory: 11812kb

input:

100000 -100000 -100000
100
63

output:

764105630

result:

ok 1 number(s): "764105630"

Test #70:

score: 0
Accepted
time: 13ms
memory: 11804kb

input:

-100000 100000 100000
100
13

output:

764105630

result:

ok 1 number(s): "764105630"

Test #71:

score: 0
Accepted
time: 7ms
memory: 13344kb

input:

-100000 100000 0
100
10

output:

200000

result:

ok 1 number(s): "200000"

Test #72:

score: 0
Accepted
time: 99ms
memory: 15032kb

input:

-100000 100000 0
99999
77

output:

200000

result:

ok 1 number(s): "200000"

Test #73:

score: 0
Accepted
time: 98ms
memory: 16668kb

input:

-100000 100000 0
100000
80

output:

200000

result:

ok 1 number(s): "200000"

Test #74:

score: 0
Accepted
time: 99ms
memory: 14820kb

input:

-100000 100000 0
100001
5

output:

50125708

result:

ok 1 number(s): "50125708"