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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#27853 | #2618. Casual Dancers | Geothermal# | AC ✓ | 121ms | 25972kb | C++ | 5.0kb | 2022-04-11 02:28:02 | 2022-04-29 07:49:37 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll modi = 998244353;
ll modExp(ll base,ll times){
ll ans = 1;
while (times){
if (times & 1) ans = ans * base % modi;
base = base * base % modi;
times >>= 1;
}
return ans;
}
ll inv(ll x){
return modExp(x,modi-2);
}
namespace NTT{
vector<ll> roots = {0,1};
vector<int> bit_reverse;
int max_size = -1;
ll root;
bool is_power_of_two(int n){
return (n & (n-1)) == 0;
}
int round_up_power_two(int n){
while (n & (n-1)){
n = (n | (n-1))+1;
}
return max(n,1);
}
int get_length(int n){
assert(is_power_of_two(n));
return __builtin_ctz(n);
}
void bit_reorder(int n,vector<ll> & values){
if ((int) bit_reverse.size() != n){
bit_reverse.assign(n,0);
int length = get_length(n);
for (int i = 0;i < n;i++){
bit_reverse[i] = (bit_reverse[i >> 1] >> 1) + ((i & 1) << (length - 1));
}
}
for (int i = 0;i < n;i++){
if (i < bit_reverse[i]){
swap(values[i], values[bit_reverse[i]]);
}
}
}
void find_root(){
max_size = 1 << __builtin_ctz(modi-1);
root = 2;
while (!(modExp(root,max_size) == 1 && modExp(root, max_size/2) != 1)) root++;
}
void prepare_roots(int n){
if (max_size < 0) find_root();
assert (n <= max_size);
if ((int)roots.size() >= n) return;
int length = get_length(roots.size());
roots.resize(n);
while (1 << length < n){
ll z = modExp(root,max_size >> (length+1));
for (int i = 1 << (length - 1); i < 1 << length;i++){
roots[2*i] = roots[i];
roots[2*i+1] = (roots[i] * z) % modi;
}
length++;
}
}
void fft_iterative(int N,vector<ll> & values){
assert(is_power_of_two(N));
prepare_roots(N);
bit_reorder(N, values);
for (int n = 1;n < N;n *= 2){
for (int start = 0; start < N;start += 2*n){
for (int i = 0;i < n;i++){
ll even = values[start+i];
ll odd = values[start+n+i] * roots[n+i];
odd %= modi;
values[start+n+i] = even-odd+modi;
values[start+i] = even+odd;
values[start+n+i] %= modi;
values[start+i] %= modi;
}
}
}
}
const int FFT_CUTOFF = 150;
vector<ll> mod_multiply(vector<ll> left,vector<ll> right){
int n = left.size();
int m = right.size();
if (min(n,m) < FFT_CUTOFF){
const uint64_t ULL_BOUND = numeric_limits<uint64_t>::max() - (uint64_t) modi*modi;
vector<uint64_t> result(n+m-1,0);
for (int i = 0;i < n;i++){
for (int j = 0;j < m;j++){
result[i+j] += (uint64_t)((int)left[i])*((int)right[j]);
if (result[i+j] > ULL_BOUND) result[i+j] %= modi;
}
}
for (uint64_t & x: result){
if (x >= modi) x %= modi;
}
return vector<ll>(result.begin(),result.end());
}
int N = round_up_power_two(n+m-1);
left.resize(N);
right.resize(N);
bool equal = left == right;
fft_iterative(N,left);
if (equal) right = left;
else fft_iterative(N,right);
ll inv_N = inv(N);
for (int i = 0;i < N;i++){
left[i] *= (right[i] * inv_N) % modi;
left[i] %= modi;
}
reverse(left.begin()+1,left.end());
fft_iterative(N,left);
left.resize(n+m-1);
return left;
}
vector<ll> mod_power(const vector<ll> & v,int exponent){
assert(exponent>=0);
vector<ll> result = {1};
if (exponent == 0) return result;
for (int k = 31 - __builtin_clz(exponent);k >= 0;k--){
result = mod_multiply(result,result);
if (exponent >> k & 1){
result = mod_multiply(result,v);
}
}
return result;
}
}
int main(){
int x1,x2,x3;
int k;
ll p;
cin >> x1 >> x2 >> x3 >> k >> p;
vector<ll> poly = {1,1,1};
vector<ll> ret = NTT::mod_power(poly, k);
ll e = 0;
ll delta = x1-x2;
for (int i = 0;i <= 2*k;i++){
ll new_delta = delta + i - k;
e = (e + abs(new_delta) * ret[i]) % modi;
}
delta = x1-x3;
for (int i = 0;i <= 2*k;i++){
ll new_delta = delta + i - k;
e = (e + abs(new_delta) * ret[i]) % modi;
}
delta = x2-x3;
for (int i = 0;i <= 2*k;i++){
ll new_delta = delta + i - k;
e = (e + abs(new_delta) * ret[i]) % modi;
}
cout << e * inv(modExp(3,k)) % modi * inv(2) % modi << endl;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3640kb
input:
0 0 0 1 58
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
1 2 2 1 100
output:
332748119
result:
ok 1 number(s): "332748119"
Test #3:
score: 0
Accepted
time: 3ms
memory: 3612kb
input:
5 2 3 4 50
output:
160212060
result:
ok 1 number(s): "160212060"
Test #4:
score: 0
Accepted
time: 3ms
memory: 3508kb
input:
-2 -1 1 2 71
output:
443664160
result:
ok 1 number(s): "443664160"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
-1 0 -1 4 8
output:
751764268
result:
ok 1 number(s): "751764268"
Test #6:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
-2 -2 2 5 54
output:
801060288
result:
ok 1 number(s): "801060288"
Test #7:
score: 0
Accepted
time: 3ms
memory: 3712kb
input:
-2 2 4 8 36
output:
353135983
result:
ok 1 number(s): "353135983"
Test #8:
score: 0
Accepted
time: 3ms
memory: 3504kb
input:
8 -7 1 7 28
output:
15
result:
ok 1 number(s): "15"
Test #9:
score: 0
Accepted
time: 3ms
memory: 3632kb
input:
-7 -8 0 16 54
output:
159363041
result:
ok 1 number(s): "159363041"
Test #10:
score: 0
Accepted
time: 2ms
memory: 3608kb
input:
5 11 -11 9 32
output:
717226646
result:
ok 1 number(s): "717226646"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
-16 1 -9 32 8
output:
855967855
result:
ok 1 number(s): "855967855"
Test #12:
score: 0
Accepted
time: 3ms
memory: 3612kb
input:
-13 28 28 37 80
output:
116405794
result:
ok 1 number(s): "116405794"
Test #13:
score: 0
Accepted
time: 3ms
memory: 3580kb
input:
6 26 -25 64 21
output:
91053409
result:
ok 1 number(s): "91053409"
Test #14:
score: 0
Accepted
time: 3ms
memory: 3560kb
input:
-39 23 1 31 64
output:
742331784
result:
ok 1 number(s): "742331784"
Test #15:
score: 0
Accepted
time: 3ms
memory: 3716kb
input:
-32 42 43 128 87
output:
57822539
result:
ok 1 number(s): "57822539"
Test #16:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
-80 55 -106 142 29
output:
435655440
result:
ok 1 number(s): "435655440"
Test #17:
score: 0
Accepted
time: 3ms
memory: 3680kb
input:
0 -83 -106 256 55
output:
120508896
result:
ok 1 number(s): "120508896"
Test #18:
score: 0
Accepted
time: 3ms
memory: 3708kb
input:
-100 -123 -167 91 74
output:
285780715
result:
ok 1 number(s): "285780715"
Test #19:
score: 0
Accepted
time: 3ms
memory: 3796kb
input:
252 -176 -239 512 49
output:
835642397
result:
ok 1 number(s): "835642397"
Test #20:
score: 0
Accepted
time: 3ms
memory: 3724kb
input:
-37 -124 151 867 76
output:
225290884
result:
ok 1 number(s): "225290884"
Test #21:
score: 0
Accepted
time: 3ms
memory: 3812kb
input:
-316 149 -149 1024 87
output:
374987754
result:
ok 1 number(s): "374987754"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
370 545 81 1073 69
output:
943329809
result:
ok 1 number(s): "943329809"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3984kb
input:
-81 182 532 2048 87
output:
843173062
result:
ok 1 number(s): "843173062"
Test #24:
score: 0
Accepted
time: 3ms
memory: 3676kb
input:
-1229 -1607 319 199 24
output:
1926
result:
ok 1 number(s): "1926"
Test #25:
score: 0
Accepted
time: 2ms
memory: 3972kb
input:
43 -419 -613 4096 46
output:
418220629
result:
ok 1 number(s): "418220629"
Test #26:
score: 0
Accepted
time: 1ms
memory: 3812kb
input:
3434 -3146 -1774 2601 46
output:
705802517
result:
ok 1 number(s): "705802517"
Test #27:
score: 0
Accepted
time: 5ms
memory: 4644kb
input:
2193 -2331 2901 8192 75
output:
728593792
result:
ok 1 number(s): "728593792"
Test #28:
score: 0
Accepted
time: 3ms
memory: 3840kb
input:
233 -4307 -4363 1093 81
output:
303899847
result:
ok 1 number(s): "303899847"
Test #29:
score: 0
Accepted
time: 12ms
memory: 5568kb
input:
-4522 762 8059 16384 34
output:
190696426
result:
ok 1 number(s): "190696426"
Test #30:
score: 0
Accepted
time: 11ms
memory: 5904kb
input:
-5155 -3639 15798 24822 55
output:
808461103
result:
ok 1 number(s): "808461103"
Test #31:
score: 0
Accepted
time: 26ms
memory: 8300kb
input:
15234 4368 12248 32768 19
output:
115861480
result:
ok 1 number(s): "115861480"
Test #32:
score: 0
Accepted
time: 16ms
memory: 8404kb
input:
820 30492 3951 42789 76
output:
826647308
result:
ok 1 number(s): "826647308"
Test #33:
score: 0
Accepted
time: 48ms
memory: 13492kb
input:
1372 -24835 -24597 65536 65
output:
355997764
result:
ok 1 number(s): "355997764"
Test #34:
score: 0
Accepted
time: 56ms
memory: 13876kb
input:
-59726 17559 -45875 87143 58
output:
326130350
result:
ok 1 number(s): "326130350"
Test #35:
score: 0
Accepted
time: 109ms
memory: 23712kb
input:
-27584 51950 23030 131072 74
output:
325794325
result:
ok 1 number(s): "325794325"
Test #36:
score: 0
Accepted
time: 107ms
memory: 24092kb
input:
61155 52006 74974 164861 5
output:
160748350
result:
ok 1 number(s): "160748350"
Test #37:
score: 0
Accepted
time: 102ms
memory: 24592kb
input:
41344 -81596 -95774 200000 59
output:
965482998
result:
ok 1 number(s): "965482998"
Test #38:
score: 0
Accepted
time: 16ms
memory: 5336kb
input:
42056 -90767 -54649 24350 63
output:
132823
result:
ok 1 number(s): "132823"
Test #39:
score: 0
Accepted
time: 111ms
memory: 25944kb
input:
-74335 43393 57021 199994 67
output:
310210583
result:
ok 1 number(s): "310210583"
Test #40:
score: 0
Accepted
time: 112ms
memory: 23492kb
input:
-80838 73772 -18618 134415 57
output:
346157175
result:
ok 1 number(s): "346157175"
Test #41:
score: 0
Accepted
time: 112ms
memory: 24672kb
input:
37457 74497 -81166 199997 59
output:
26667908
result:
ok 1 number(s): "26667908"
Test #42:
score: 0
Accepted
time: 110ms
memory: 24164kb
input:
31109 -65140 -77085 162412 46
output:
12858959
result:
ok 1 number(s): "12858959"
Test #43:
score: 0
Accepted
time: 121ms
memory: 25972kb
input:
-58550 -97769 66373 199995 86
output:
789346262
result:
ok 1 number(s): "789346262"
Test #44:
score: 0
Accepted
time: 59ms
memory: 15336kb
input:
7739 58831 72332 124270 16
output:
167162440
result:
ok 1 number(s): "167162440"
Test #45:
score: 0
Accepted
time: 120ms
memory: 25888kb
input:
-97901 25173 -99145 199999 52
output:
797290311
result:
ok 1 number(s): "797290311"
Test #46:
score: 0
Accepted
time: 53ms
memory: 15512kb
input:
-87118 -60882 -86669 126103 23
output:
487838027
result:
ok 1 number(s): "487838027"
Test #47:
score: 0
Accepted
time: 97ms
memory: 24592kb
input:
-71646 69885 70206 200000 27
output:
285981891
result:
ok 1 number(s): "285981891"
Test #48:
score: 0
Accepted
time: 46ms
memory: 14632kb
input:
14475 -77173 -5177 117777 51
output:
251933976
result:
ok 1 number(s): "251933976"
Test #49:
score: 0
Accepted
time: 107ms
memory: 24600kb
input:
-35780 37165 54712 199996 14
output:
763964192
result:
ok 1 number(s): "763964192"
Test #50:
score: 0
Accepted
time: 57ms
memory: 13996kb
input:
15709 -72676 -22298 101968 17
output:
406652317
result:
ok 1 number(s): "406652317"
Test #51:
score: 0
Accepted
time: 111ms
memory: 25876kb
input:
74572 -98701 -56974 199991 62
output:
55467556
result:
ok 1 number(s): "55467556"
Test #52:
score: 0
Accepted
time: 112ms
memory: 24948kb
input:
-14644 -10031 -50353 168383 43
output:
376814948
result:
ok 1 number(s): "376814948"
Test #53:
score: 0
Accepted
time: 112ms
memory: 25860kb
input:
22388 51898 80903 199995 89
output:
832434478
result:
ok 1 number(s): "832434478"
Test #54:
score: 0
Accepted
time: 52ms
memory: 15136kb
input:
34062 -76211 -25545 127193 91
output:
234760702
result:
ok 1 number(s): "234760702"
Test #55:
score: 0
Accepted
time: 106ms
memory: 24724kb
input:
-19645 -45450 -16512 200000 77
output:
759439547
result:
ok 1 number(s): "759439547"
Test #56:
score: 0
Accepted
time: 14ms
memory: 5820kb
input:
98957 80512 -24606 20311 30
output:
985804570
result:
ok 1 number(s): "985804570"
Test #57:
score: 0
Accepted
time: 121ms
memory: 25920kb
input:
-87259 -11505 14596 199994 83
output:
160520754
result:
ok 1 number(s): "160520754"
Test #58:
score: 0
Accepted
time: 110ms
memory: 24676kb
input:
0 0 0 200000 0
output:
393458944
result:
ok 1 number(s): "393458944"
Test #59:
score: 0
Accepted
time: 116ms
memory: 24724kb
input:
0 0 0 200000 100
output:
393458944
result:
ok 1 number(s): "393458944"
Test #60:
score: 0
Accepted
time: 109ms
memory: 24548kb
input:
-100000 -100000 -100000 200000 75
output:
393458944
result:
ok 1 number(s): "393458944"
Test #61:
score: 0
Accepted
time: 106ms
memory: 24620kb
input:
100000 100000 100000 200000 63
output:
393458944
result:
ok 1 number(s): "393458944"
Test #62:
score: 0
Accepted
time: 97ms
memory: 24712kb
input:
100000 0 -100000 200000 56
output:
678255914
result:
ok 1 number(s): "678255914"
Test #63:
score: 0
Accepted
time: 109ms
memory: 24644kb
input:
0 1 2 200000 22
output:
630634769
result:
ok 1 number(s): "630634769"
Test #64:
score: 0
Accepted
time: 3ms
memory: 3632kb
input:
100000 0 -100000 1 32
output:
200000
result:
ok 1 number(s): "200000"
Test #65:
score: 0
Accepted
time: 3ms
memory: 3636kb
input:
100000 100000 100000 1 33
output:
1
result:
ok 1 number(s): "1"
Test #66:
score: 0
Accepted
time: 1ms
memory: 3700kb
input:
-100000 -100000 -100000 1 6
output:
1
result:
ok 1 number(s): "1"
Test #67:
score: 0
Accepted
time: 3ms
memory: 3560kb
input:
100000 100000 -100000 1 7
output:
332948118
result:
ok 1 number(s): "332948118"
Test #68:
score: 0
Accepted
time: 3ms
memory: 3560kb
input:
-100000 -100000 100000 1 40
output:
332948118
result:
ok 1 number(s): "332948118"
Test #69:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
100000 -100000 -100000 100 63
output:
764105630
result:
ok 1 number(s): "764105630"
Test #70:
score: 0
Accepted
time: 1ms
memory: 3568kb
input:
-100000 100000 100000 100 13
output:
764105630
result:
ok 1 number(s): "764105630"
Test #71:
score: 0
Accepted
time: 3ms
memory: 3572kb
input:
-100000 100000 0 100 10
output:
200000
result:
ok 1 number(s): "200000"
Test #72:
score: 0
Accepted
time: 66ms
memory: 14508kb
input:
-100000 100000 0 99999 77
output:
200000
result:
ok 1 number(s): "200000"
Test #73:
score: 0
Accepted
time: 46ms
memory: 13920kb
input:
-100000 100000 0 100000 80
output:
200000
result:
ok 1 number(s): "200000"
Test #74:
score: 0
Accepted
time: 49ms
memory: 13844kb
input:
-100000 100000 0 100001 5
output:
50125708
result:
ok 1 number(s): "50125708"