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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 Dancers | yllcm | AC ✓ | 210ms | 19932kb | C++17 | 3.2kb | 2023-01-27 16:50:20 | 2023-01-27 16:50:22 |
Judging History
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"