QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#102249 | #2551. Math String | 1234576 | AC ✓ | 3ms | 3488kb | C++14 | 4.2kb | 2023-05-02 17:57:14 | 2023-05-02 17:57:16 |
Judging History
answer
#include <map>
#include <set>
#include <array>
#include <cmath>
#include <queue>
#include <stack>
#include <tuple>
#include <cctype>
#include <cstdio>
#include <string>
#include <vector>
#include <cassert>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <functional>
#include <unordered_map>
using namespace std;
#define db double
#define il inline
#define fir first
#define sec second
#define eps (1e-10)
#define pb push_back
#define ll long long
#define mkp make_pair
#define eb emplace_back
#define pii pair<int, int>
#define lowbit(a) (a & (-a))
#define SZ(a) ((int)a.size())
#define ull unsigned long long
#define all(a) a.begin(), a.end()
#define split cout << "=========\n";
#define GG { cout << "NO\n"; return; }
#define pll pair<long long, long long>
#define equals(a, b) (fabs((a) - (b)) < eps)
constexpr int ON = 0;
constexpr int CW = -1;
constexpr int CCW = 1;
constexpr int BACK = 2;
constexpr int FRONT = -2;
const db pi = acos(-1.000);
constexpr int maxn = 5e5 + 50;
constexpr int INF = 0x3f3f3f3f;
constexpr ll LINF = 0x3f3f3f3f3f3f3f3f;
constexpr int mod = 998244353; /* 1e9 + 7 */
constexpr int dir[8][2] = {-1, 0, -1, 1, 0, 1, 1, 1, 1, 0, 1, -1, 0, -1, -1, -1};
namespace Linear_seq {
#define N maxn
typedef long long LL;
LL mod = 998244353;
#define rep(i, a, n) for (int i = a; i < n; i++)
#define pb push_back
typedef vector<int> VI;
typedef pair<int, int> PII;
// const int N = 10010;
LL res[N], base[N], _c[N], _md[N];
vector<int> Md;
LL powmod(LL a, LL b) {
LL res = 1;
a %= mod;
for (; b; b >>= 1) {
if (b & 1)
res = res * a % mod;
a = a * a % mod;
}
return res;
}
void mul(LL *a, LL *b, int k) {
rep(i, 0, k + k) _c[i] = 0;
rep(i, 0, k) if (a[i]) rep(j, 0, k) _c[i + j] =
(_c[i + j] + a[i] * b[j]) % mod;
for (int i = k + k - 1; i >= k; i--)
if (_c[i])
rep(j, 0, SZ(Md)) _c[i - k + Md[j]] =
(_c[i - k + Md[j]] - _c[i] * _md[Md[j]]) % mod;
rep(i, 0, k) a[i] = _c[i];
}
int solve(LL n, VI a, VI b) {
LL ans = 0, pnt = 0;
int k = SZ(a);
rep(i, 0, k) _md[k - 1 - i] = -a[i];
_md[k] = 1;
Md.clear();
rep(i, 0, k) if (_md[i] != 0) Md.push_back(i);
rep(i, 0, k) res[i] = base[i] = 0;
res[0] = 1;
while ((1LL << pnt) <= n)
pnt++;
for (int p = pnt; p >= 0; p--) {
mul(res, res, k);
if ((n >> p) & 1) {
for (int i = k - 1; i >= 0; i--)
res[i + 1] = res[i];
res[0] = 0;
rep(j, 0, SZ(Md)) res[Md[j]] = (res[Md[j]] - res[k] * _md[Md[j]]) % mod;
}
}
rep(i, 0, k) ans = (ans + res[i] * b[i]) % mod;
if (ans < 0)
ans += mod;
return ans;
}
VI BM(VI s) {
VI C(1, 1), B(1, 1);
int L = 0, m = 1, b = 1;
rep(n, 0, SZ(s)) {
LL d = 0;
rep(i, 0, L + 1) d = (d + (LL)C[i] * s[n - i]) % mod;
if (d == 0)
++m;
else if (2 * L <= n) {
VI T = C;
LL c = mod - d * powmod(b, mod - 2) % mod;
while (SZ(C) < SZ(B) + m)
C.pb(0);
rep(i, 0, SZ(B)) C[i + m] = (C[i + m] + c * B[i]) % mod;
L = n + 1 - L;
B = T;
b = d;
m = 1;
} else {
LL c = mod - d * powmod(b, mod - 2) % mod;
while (SZ(C) < SZ(B) + m)
C.pb(0);
rep(i, 0, SZ(B)) C[i + m] = (C[i + m] + c * B[i]) % mod;
++m;
}
}
return C;
}
int gao(VI a, LL n) {
VI c = BM(a);
c.erase(c.begin());
rep(i, 0, SZ(c)) c[i] = (mod - c[i]) % mod;
return solve(n, c, VI(a.begin(), a.begin() + SZ(c)));
}
}; // namespace Linear_seq
int n;
int ans;
void solve(int cas) {
ll n; cin >> n;
vector<int> a;
a.pb(45);
a.pb(4455);
a.pb(407430);
a.pb(36934785);
a.pb(350210541);
a.pb(427185456);
a.pb(991901155);
a.pb(110899952);
a.pb(89411672);
a.pb(401287887);
a.pb(811189931);
a.pb(286603985);
a.pb(426843378);
a.pb(418261776);
a.pb(744223671);
a.pb(302153364);
a.pb(34240762);
// 689891595
// 101012015
// 748341487
cout << Linear_seq::gao(a, n - 1);
}
signed main() {
// cout << fixed << setprecision(10);
ios::sync_with_stdio(false); cin.tie(nullptr);
// int T; cin>>T; while (T--)
solve(1);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3376kb
input:
1
output:
45
result:
ok answer is '45'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
3
output:
407430
result:
ok answer is '407430'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3328kb
input:
1000000000000000000
output:
493565653
result:
ok answer is '493565653'
Test #4:
score: 0
Accepted
time: 2ms
memory: 3396kb
input:
999999999999999254
output:
963821656
result:
ok answer is '963821656'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
2
output:
4455
result:
ok answer is '4455'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
999999999999999062
output:
256461144
result:
ok answer is '256461144'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3484kb
input:
4
output:
36934785
result:
ok answer is '36934785'
Test #8:
score: 0
Accepted
time: 3ms
memory: 3464kb
input:
5
output:
350210541
result:
ok answer is '350210541'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3484kb
input:
6
output:
427185456
result:
ok answer is '427185456'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3344kb
input:
7
output:
991901155
result:
ok answer is '991901155'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3412kb
input:
8
output:
110899952
result:
ok answer is '110899952'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3336kb
input:
9
output:
89411672
result:
ok answer is '89411672'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3444kb
input:
10
output:
401287887
result:
ok answer is '401287887'
Test #14:
score: 0
Accepted
time: 2ms
memory: 3420kb
input:
172
output:
376377812
result:
ok answer is '376377812'
Test #15:
score: 0
Accepted
time: 3ms
memory: 3432kb
input:
238
output:
81946973
result:
ok answer is '81946973'
Test #16:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
730
output:
661959857
result:
ok answer is '661959857'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3484kb
input:
684
output:
828317367
result:
ok answer is '828317367'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3468kb
input:
633
output:
673539741
result:
ok answer is '673539741'
Test #19:
score: 0
Accepted
time: 2ms
memory: 3444kb
input:
897
output:
159321465
result:
ok answer is '159321465'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3412kb
input:
809
output:
521464595
result:
ok answer is '521464595'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3464kb
input:
302
output:
92391482
result:
ok answer is '92391482'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3412kb
input:
261
output:
854903269
result:
ok answer is '854903269'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3484kb
input:
497
output:
594207939
result:
ok answer is '594207939'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3416kb
input:
951
output:
927809758
result:
ok answer is '927809758'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3396kb
input:
980
output:
65372821
result:
ok answer is '65372821'
Test #26:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
1000
output:
971150090
result:
ok answer is '971150090'
Test #27:
score: 0
Accepted
time: 1ms
memory: 3372kb
input:
969
output:
511011493
result:
ok answer is '511011493'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
998
output:
549357456
result:
ok answer is '549357456'
Test #29:
score: 0
Accepted
time: 1ms
memory: 3416kb
input:
98558
output:
245733611
result:
ok answer is '245733611'
Test #30:
score: 0
Accepted
time: 2ms
memory: 3488kb
input:
35873
output:
524107440
result:
ok answer is '524107440'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3364kb
input:
3015
output:
928761172
result:
ok answer is '928761172'
Test #32:
score: 0
Accepted
time: 2ms
memory: 3392kb
input:
44398
output:
339084928
result:
ok answer is '339084928'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3328kb
input:
82497
output:
273305194
result:
ok answer is '273305194'
Test #34:
score: 0
Accepted
time: 2ms
memory: 3344kb
input:
81678
output:
423439974
result:
ok answer is '423439974'
Test #35:
score: 0
Accepted
time: 2ms
memory: 3328kb
input:
95002
output:
868411966
result:
ok answer is '868411966'
Test #36:
score: 0
Accepted
time: 2ms
memory: 3404kb
input:
56392
output:
127537737
result:
ok answer is '127537737'
Test #37:
score: 0
Accepted
time: 1ms
memory: 3368kb
input:
49489
output:
841113901
result:
ok answer is '841113901'
Test #38:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
57109
output:
808819191
result:
ok answer is '808819191'
Test #39:
score: 0
Accepted
time: 2ms
memory: 3444kb
input:
99674
output:
890052301
result:
ok answer is '890052301'
Test #40:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
99513
output:
147223708
result:
ok answer is '147223708'
Test #41:
score: 0
Accepted
time: 2ms
memory: 3460kb
input:
99950
output:
638000302
result:
ok answer is '638000302'
Test #42:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
99939
output:
627100241
result:
ok answer is '627100241'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3460kb
input:
99904
output:
768803875
result:
ok answer is '768803875'
Test #44:
score: 0
Accepted
time: 2ms
memory: 3332kb
input:
822981260158560519
output:
500129705
result:
ok answer is '500129705'
Test #45:
score: 0
Accepted
time: 2ms
memory: 3332kb
input:
28316250878314571
output:
954707612
result:
ok answer is '954707612'
Test #46:
score: 0
Accepted
time: 1ms
memory: 3376kb
input:
779547116602636424
output:
349022088
result:
ok answer is '349022088'
Test #47:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
578223540025879436
output:
310507001
result:
ok answer is '310507001'
Test #48:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
335408917862248766
output:
399860005
result:
ok answer is '399860005'
Test #49:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
74859962623990078
output:
905924996
result:
ok answer is '905924996'
Test #50:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
252509054434733439
output:
57677315
result:
ok answer is '57677315'
Test #51:
score: 0
Accepted
time: 2ms
memory: 3364kb
input:
760713016476890622
output:
840620988
result:
ok answer is '840620988'
Test #52:
score: 0
Accepted
time: 2ms
memory: 3340kb
input:
919845426262803496
output:
929606336
result:
ok answer is '929606336'
Test #53:
score: 0
Accepted
time: 2ms
memory: 3304kb
input:
585335723211847194
output:
975973040
result:
ok answer is '975973040'
Test #54:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
999999999999999478
output:
859690282
result:
ok answer is '859690282'
Test #55:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
999999999999999902
output:
879587490
result:
ok answer is '879587490'
Test #56:
score: 0
Accepted
time: 3ms
memory: 3428kb
input:
999999999999999168
output:
585232180
result:
ok answer is '585232180'