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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 |
---|---|---|---|---|---|---|---|---|---|
#32711 | #2618. Casual Dancers | Sorting | AC ✓ | 720ms | 66384kb | C++20 | 2.7kb | 2022-05-23 00:56:45 | 2022-05-23 00:56:45 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll MOD = 998244353;
const ll N = 8e5 + 10;
const ll root = 62;
ll fast_pow(ll base, ll exp){
if(!exp) return 1ll;
if(exp & 1ll) return base * fast_pow(base, exp - 1) % MOD;
ll t = fast_pow(base, exp >> 1);
return t * t % MOD;
}
typedef vector<ll> vl;
void ntt(vl &a){
int n = a.size(), L = 31 - __builtin_clz(n);
static vl rt(2, 1);
for(static int k = 2, s = 2; k < n; k *= 2, ++s){
rt.resize(n);
ll z[] = {1, fast_pow(root, MOD >> s)};
for(int i = k; i < 2 * k; ++i)
rt[i] = rt[i / 2] * z[i & 1] % MOD;
}
vector<int> rev(n);
for(int i = 0; i < n; ++i)
rev[i] = (rev[i / 2] | (i & 1) << L) / 2;
for(int i = 0; i < n; ++i)
if(i < rev[i])
swap(a[i], a[rev[i]]);
for(int k = 1; k < n; k *= 2){
for(int i = 0; i < n; i += 2 * k){
for(int j = 0; j < k; ++j){
ll z = rt[j + k] * a[i + j + k] % MOD, &ai = a[i + j];
a[i + j + k] = ai - z + (z > ai ? MOD : 0);
ai += (ai + z >= MOD ? z - MOD : z);
}
}
}
}
vl conv(const vl &a, const vl &b){
if(a.empty() || b.empty()) return {};
int s = a.size() + b.size() - 1, B = 32 - __builtin_clz(s), n = 1 << B;
int inv = fast_pow(n, MOD - 2);
vl L(a), R(b), out(n);
L.resize(n), R.resize(n);
ntt(L), ntt(R);
for(int i = 0; i < n; ++i)
out[-i & (n - 1)] = (ll)L[i] * R[i] % MOD * inv % MOD;
ntt(out);
return {out.begin(), out.begin() + s};
}
ll f[N], inv_f[N];
ll x1, x2, x3;
ll k, p;
vector<ll> v;
vl pol_pow(vl base, ll exp){
vl ans{1};
while(exp){
if(exp & 1) ans = conv(ans, base);
exp >>= 1;
base = conv(base, base);
}
return ans;
}
ll comb(ll n, ll k){
return f[n] * inv_f[k] % MOD * inv_f[n - k] % MOD;
}
ll expected(ll diff){
ll res = 0;
for(ll i = diff - k; i <= diff + k; ++i){
res += abs(i) * v[i - (diff - k)] % MOD;
}
res %= MOD;
res = (res * (fast_pow(fast_pow(3, k), MOD - 2)) % MOD);
return res;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> x1 >> x2 >> x3 >> k >> p;
f[0] = 1;
for(int i = 1; i < N; ++i)
f[i] = f[i - 1] * i % MOD;
inv_f[N - 1] = fast_pow(f[N - 1], MOD - 2);
for(int i = N - 2; i >= 0; --i)
inv_f[i] = inv_f[i + 1] * (i + 1) % MOD;
v = pol_pow({1, 1, 1}, k);
ll res = expected(abs(x1 - x2)) + expected(abs(x1 - x3)) + expected(abs(x2 - x3));
res %= MOD;
res *= inv_f[2];
res %= MOD;
cout << res << "\n";
}
詳細信息
Test #1:
score: 100
Accepted
time: 3ms
memory: 16160kb
input:
0 0 0 1 58
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 9ms
memory: 16012kb
input:
1 2 2 1 100
output:
332748119
result:
ok 1 number(s): "332748119"
Test #3:
score: 0
Accepted
time: 8ms
memory: 16052kb
input:
5 2 3 4 50
output:
160212060
result:
ok 1 number(s): "160212060"
Test #4:
score: 0
Accepted
time: 6ms
memory: 16100kb
input:
-2 -1 1 2 71
output:
443664160
result:
ok 1 number(s): "443664160"
Test #5:
score: 0
Accepted
time: 8ms
memory: 16200kb
input:
-1 0 -1 4 8
output:
751764268
result:
ok 1 number(s): "751764268"
Test #6:
score: 0
Accepted
time: 6ms
memory: 16052kb
input:
-2 -2 2 5 54
output:
801060288
result:
ok 1 number(s): "801060288"
Test #7:
score: 0
Accepted
time: 6ms
memory: 16100kb
input:
-2 2 4 8 36
output:
353135983
result:
ok 1 number(s): "353135983"
Test #8:
score: 0
Accepted
time: 12ms
memory: 16116kb
input:
8 -7 1 7 28
output:
15
result:
ok 1 number(s): "15"
Test #9:
score: 0
Accepted
time: 4ms
memory: 16068kb
input:
-7 -8 0 16 54
output:
159363041
result:
ok 1 number(s): "159363041"
Test #10:
score: 0
Accepted
time: 8ms
memory: 16120kb
input:
5 11 -11 9 32
output:
717226646
result:
ok 1 number(s): "717226646"
Test #11:
score: 0
Accepted
time: 8ms
memory: 16124kb
input:
-16 1 -9 32 8
output:
855967855
result:
ok 1 number(s): "855967855"
Test #12:
score: 0
Accepted
time: 6ms
memory: 16012kb
input:
-13 28 28 37 80
output:
116405794
result:
ok 1 number(s): "116405794"
Test #13:
score: 0
Accepted
time: 13ms
memory: 16036kb
input:
6 26 -25 64 21
output:
91053409
result:
ok 1 number(s): "91053409"
Test #14:
score: 0
Accepted
time: 12ms
memory: 16044kb
input:
-39 23 1 31 64
output:
742331784
result:
ok 1 number(s): "742331784"
Test #15:
score: 0
Accepted
time: 12ms
memory: 16172kb
input:
-32 42 43 128 87
output:
57822539
result:
ok 1 number(s): "57822539"
Test #16:
score: 0
Accepted
time: 6ms
memory: 16164kb
input:
-80 55 -106 142 29
output:
435655440
result:
ok 1 number(s): "435655440"
Test #17:
score: 0
Accepted
time: 8ms
memory: 16256kb
input:
0 -83 -106 256 55
output:
120508896
result:
ok 1 number(s): "120508896"
Test #18:
score: 0
Accepted
time: 12ms
memory: 16180kb
input:
-100 -123 -167 91 74
output:
285780715
result:
ok 1 number(s): "285780715"
Test #19:
score: 0
Accepted
time: 9ms
memory: 16248kb
input:
252 -176 -239 512 49
output:
835642397
result:
ok 1 number(s): "835642397"
Test #20:
score: 0
Accepted
time: 15ms
memory: 16192kb
input:
-37 -124 151 867 76
output:
225290884
result:
ok 1 number(s): "225290884"
Test #21:
score: 0
Accepted
time: 12ms
memory: 16340kb
input:
-316 149 -149 1024 87
output:
374987754
result:
ok 1 number(s): "374987754"
Test #22:
score: 0
Accepted
time: 20ms
memory: 16248kb
input:
370 545 81 1073 69
output:
943329809
result:
ok 1 number(s): "943329809"
Test #23:
score: 0
Accepted
time: 13ms
memory: 16572kb
input:
-81 182 532 2048 87
output:
843173062
result:
ok 1 number(s): "843173062"
Test #24:
score: 0
Accepted
time: 8ms
memory: 16108kb
input:
-1229 -1607 319 199 24
output:
1926
result:
ok 1 number(s): "1926"
Test #25:
score: 0
Accepted
time: 29ms
memory: 17168kb
input:
43 -419 -613 4096 46
output:
418220629
result:
ok 1 number(s): "418220629"
Test #26:
score: 0
Accepted
time: 15ms
memory: 16344kb
input:
3434 -3146 -1774 2601 46
output:
705802517
result:
ok 1 number(s): "705802517"
Test #27:
score: 0
Accepted
time: 37ms
memory: 18692kb
input:
2193 -2331 2901 8192 75
output:
728593792
result:
ok 1 number(s): "728593792"
Test #28:
score: 0
Accepted
time: 16ms
memory: 16140kb
input:
233 -4307 -4363 1093 81
output:
303899847
result:
ok 1 number(s): "303899847"
Test #29:
score: 0
Accepted
time: 78ms
memory: 21708kb
input:
-4522 762 8059 16384 34
output:
190696426
result:
ok 1 number(s): "190696426"
Test #30:
score: 0
Accepted
time: 88ms
memory: 21692kb
input:
-5155 -3639 15798 24822 55
output:
808461103
result:
ok 1 number(s): "808461103"
Test #31:
score: 0
Accepted
time: 146ms
memory: 27584kb
input:
15234 4368 12248 32768 19
output:
115861480
result:
ok 1 number(s): "115861480"
Test #32:
score: 0
Accepted
time: 160ms
memory: 28496kb
input:
820 30492 3951 42789 76
output:
826647308
result:
ok 1 number(s): "826647308"
Test #33:
score: 0
Accepted
time: 317ms
memory: 39156kb
input:
1372 -24835 -24597 65536 65
output:
355997764
result:
ok 1 number(s): "355997764"
Test #34:
score: 0
Accepted
time: 323ms
memory: 41452kb
input:
-59726 17559 -45875 87143 58
output:
326130350
result:
ok 1 number(s): "326130350"
Test #35:
score: 0
Accepted
time: 631ms
memory: 62788kb
input:
-27584 51950 23030 131072 74
output:
325794325
result:
ok 1 number(s): "325794325"
Test #36:
score: 0
Accepted
time: 666ms
memory: 66384kb
input:
61155 52006 74974 164861 5
output:
160748350
result:
ok 1 number(s): "160748350"
Test #37:
score: 0
Accepted
time: 716ms
memory: 63872kb
input:
41344 -81596 -95774 200000 59
output:
965482998
result:
ok 1 number(s): "965482998"
Test #38:
score: 0
Accepted
time: 81ms
memory: 22036kb
input:
42056 -90767 -54649 24350 63
output:
132823
result:
ok 1 number(s): "132823"
Test #39:
score: 0
Accepted
time: 715ms
memory: 63992kb
input:
-74335 43393 57021 199994 67
output:
310210583
result:
ok 1 number(s): "310210583"
Test #40:
score: 0
Accepted
time: 650ms
memory: 64964kb
input:
-80838 73772 -18618 134415 57
output:
346157175
result:
ok 1 number(s): "346157175"
Test #41:
score: 0
Accepted
time: 713ms
memory: 63976kb
input:
37457 74497 -81166 199997 59
output:
26667908
result:
ok 1 number(s): "26667908"
Test #42:
score: 0
Accepted
time: 670ms
memory: 65728kb
input:
31109 -65140 -77085 162412 46
output:
12858959
result:
ok 1 number(s): "12858959"
Test #43:
score: 0
Accepted
time: 719ms
memory: 63816kb
input:
-58550 -97769 66373 199995 86
output:
789346262
result:
ok 1 number(s): "789346262"
Test #44:
score: 0
Accepted
time: 352ms
memory: 42688kb
input:
7739 58831 72332 124270 16
output:
167162440
result:
ok 1 number(s): "167162440"
Test #45:
score: 0
Accepted
time: 700ms
memory: 63944kb
input:
-97901 25173 -99145 199999 52
output:
797290311
result:
ok 1 number(s): "797290311"
Test #46:
score: 0
Accepted
time: 369ms
memory: 40460kb
input:
-87118 -60882 -86669 126103 23
output:
487838027
result:
ok 1 number(s): "487838027"
Test #47:
score: 0
Accepted
time: 711ms
memory: 63884kb
input:
-71646 69885 70206 200000 27
output:
285981891
result:
ok 1 number(s): "285981891"
Test #48:
score: 0
Accepted
time: 356ms
memory: 39584kb
input:
14475 -77173 -5177 117777 51
output:
251933976
result:
ok 1 number(s): "251933976"
Test #49:
score: 0
Accepted
time: 711ms
memory: 63812kb
input:
-35780 37165 54712 199996 14
output:
763964192
result:
ok 1 number(s): "763964192"
Test #50:
score: 0
Accepted
time: 350ms
memory: 39840kb
input:
15709 -72676 -22298 101968 17
output:
406652317
result:
ok 1 number(s): "406652317"
Test #51:
score: 0
Accepted
time: 704ms
memory: 63780kb
input:
74572 -98701 -56974 199991 62
output:
55467556
result:
ok 1 number(s): "55467556"
Test #52:
score: 0
Accepted
time: 663ms
memory: 61516kb
input:
-14644 -10031 -50353 168383 43
output:
376814948
result:
ok 1 number(s): "376814948"
Test #53:
score: 0
Accepted
time: 708ms
memory: 63900kb
input:
22388 51898 80903 199995 89
output:
832434478
result:
ok 1 number(s): "832434478"
Test #54:
score: 0
Accepted
time: 362ms
memory: 42656kb
input:
34062 -76211 -25545 127193 91
output:
234760702
result:
ok 1 number(s): "234760702"
Test #55:
score: 0
Accepted
time: 718ms
memory: 63780kb
input:
-19645 -45450 -16512 200000 77
output:
759439547
result:
ok 1 number(s): "759439547"
Test #56:
score: 0
Accepted
time: 72ms
memory: 21952kb
input:
98957 80512 -24606 20311 30
output:
985804570
result:
ok 1 number(s): "985804570"
Test #57:
score: 0
Accepted
time: 701ms
memory: 63780kb
input:
-87259 -11505 14596 199994 83
output:
160520754
result:
ok 1 number(s): "160520754"
Test #58:
score: 0
Accepted
time: 705ms
memory: 63812kb
input:
0 0 0 200000 0
output:
393458944
result:
ok 1 number(s): "393458944"
Test #59:
score: 0
Accepted
time: 706ms
memory: 63804kb
input:
0 0 0 200000 100
output:
393458944
result:
ok 1 number(s): "393458944"
Test #60:
score: 0
Accepted
time: 696ms
memory: 63828kb
input:
-100000 -100000 -100000 200000 75
output:
393458944
result:
ok 1 number(s): "393458944"
Test #61:
score: 0
Accepted
time: 704ms
memory: 63692kb
input:
100000 100000 100000 200000 63
output:
393458944
result:
ok 1 number(s): "393458944"
Test #62:
score: 0
Accepted
time: 720ms
memory: 63972kb
input:
100000 0 -100000 200000 56
output:
678255914
result:
ok 1 number(s): "678255914"
Test #63:
score: 0
Accepted
time: 707ms
memory: 63884kb
input:
0 1 2 200000 22
output:
630634769
result:
ok 1 number(s): "630634769"
Test #64:
score: 0
Accepted
time: 6ms
memory: 16100kb
input:
100000 0 -100000 1 32
output:
200000
result:
ok 1 number(s): "200000"
Test #65:
score: 0
Accepted
time: 2ms
memory: 16088kb
input:
100000 100000 100000 1 33
output:
1
result:
ok 1 number(s): "1"
Test #66:
score: 0
Accepted
time: 4ms
memory: 16044kb
input:
-100000 -100000 -100000 1 6
output:
1
result:
ok 1 number(s): "1"
Test #67:
score: 0
Accepted
time: 4ms
memory: 16084kb
input:
100000 100000 -100000 1 7
output:
332948118
result:
ok 1 number(s): "332948118"
Test #68:
score: 0
Accepted
time: 4ms
memory: 16200kb
input:
-100000 -100000 100000 1 40
output:
332948118
result:
ok 1 number(s): "332948118"
Test #69:
score: 0
Accepted
time: 3ms
memory: 16180kb
input:
100000 -100000 -100000 100 63
output:
764105630
result:
ok 1 number(s): "764105630"
Test #70:
score: 0
Accepted
time: 9ms
memory: 16232kb
input:
-100000 100000 100000 100 13
output:
764105630
result:
ok 1 number(s): "764105630"
Test #71:
score: 0
Accepted
time: 9ms
memory: 16232kb
input:
-100000 100000 0 100 10
output:
200000
result:
ok 1 number(s): "200000"
Test #72:
score: 0
Accepted
time: 325ms
memory: 39748kb
input:
-100000 100000 0 99999 77
output:
200000
result:
ok 1 number(s): "200000"
Test #73:
score: 0
Accepted
time: 338ms
memory: 39892kb
input:
-100000 100000 0 100000 80
output:
200000
result:
ok 1 number(s): "200000"
Test #74:
score: 0
Accepted
time: 328ms
memory: 39824kb
input:
-100000 100000 0 100001 5
output:
50125708
result:
ok 1 number(s): "50125708"