結果
| 問題 | No.2703 FizzBuzz Letter Counting |
| ユーザー |
 ecottea
|
| 提出日時 | 2024-03-30 18:31:12 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 26,623 bytes |
| コンパイル時間 | 9,906 ms |
| コンパイル使用メモリ | 351,996 KB |
| 実行使用メモリ | 13,480 KB |
| 最終ジャッジ日時 | 2024-03-30 18:31:29 |
| 合計ジャッジ時間 | 15,565 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge13 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 2 ms
13,480 KB |
| testcase_01 | AC | 2 ms
6,676 KB |
| testcase_02 | AC | 18 ms
6,676 KB |
| testcase_03 | TLE | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
| testcase_06 | -- | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
| testcase_35 | -- | - |
| testcase_36 | -- | - |
| testcase_37 | -- | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
| testcase_40 | -- | - |
| testcase_41 | -- | - |
| testcase_42 | -- | - |
| testcase_43 | -- | - |
| testcase_44 | -- | - |
| testcase_45 | -- | - |
| testcase_46 | -- | - |
| testcase_47 | -- | - |
| testcase_48 | -- | - |
| testcase_49 | -- | - |
| testcase_50 | -- | - |
| testcase_51 | -- | - |
| testcase_52 | -- | - |
| testcase_53 | -- | - |
| testcase_54 | -- | - |
| testcase_55 | -- | - |
| testcase_56 | -- | - |
| testcase_57 | -- | - |
| testcase_58 | -- | - |
| testcase_59 | -- | - |
| testcase_60 | -- | - |
| testcase_61 | -- | - |
| testcase_62 | -- | - |
ソースコード
#ifndef HIDDEN_IN_VS // 折りたたみ用
// 警告の抑制
#define _CRT_SECURE_NO_WARNINGS
// ライブラリの読み込み
#include <bits/stdc++.h>
using namespace std;
// 型名の短縮
using ll = long long; using ull = unsigned long long; // -2^63 ～ 2^63 = 9 * 10^18（int は -2^31 ～ 2^31 = 2 * 10^9）
using pii = pair<int, int>; using pll = pair<ll, ll>; using pil = pair<int, ll>; using pli = pair<ll, int>;
using vi = vector<int>; using vvi = vector<vi>; using vvvi = vector<vvi>; using vvvvi = vector<vvvi>;
using vl = vector<ll>; using vvl = vector<vl>; using vvvl = vector<vvl>; using vvvvl = vector<vvvl>;
using vb = vector<bool>; using vvb = vector<vb>; using vvvb = vector<vvb>;
using vc = vector<char>; using vvc = vector<vc>; using vvvc = vector<vvc>;
using vd = vector<double>; using vvd = vector<vd>; using vvvd = vector<vvd>;
template <class T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
using Graph = vvi;
// 定数の定義
const double PI = acos(-1);
const vi DX = { 1, 0, -1, 0 }; // 4 近傍（下，右，上，左）
const vi DY = { 0, 1, 0, -1 };
int INF = 1001001001; ll INFL = 4004004003104004004LL; // (int)INFL = 1010931620;
// 入出力高速化
struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp;
// 汎用マクロの定義
#define all(a) (a).begin(), (a).end()
#define sz(x) ((int)(x).size())
#define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), x))
#define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), x))
#define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");}
#define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順
#define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順
#define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順
#define repe(v, a) for(const auto& v : (a)) // a の全要素（変更不可能）
#define repea(v, a) for(auto& v : (a)) // a の全要素（変更可能）
#define repb(set, d) for(int set = 0, set##_ub = 1 << int(d); set < set##_ub; ++set) // d ビット全探索（昇順）
#define repis(i, set) for(int i = lsb(set), bset##i = set; i >= 0; bset##i -= 1 << i, i = lsb(bset##i)) // set の全要素（昇順）
#define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て（昇順）
#define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod
#define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去
#define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了
#define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 半開矩形内判定
// 汎用関数の定義
template <class T> inline ll powi(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; }
template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新（更新されたら true を返す）
template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新（更新されたら true を返す）
template <class T> inline T get(T set, int i) { return (set >> i) & T(1); }
// 演算子オーバーロード
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repea(x, v) is >> x; return is; }
template <class T> inline vector<T>& operator--(vector<T>& v) { repea(x, v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { repea(x, v) ++x; return v; }
#endif // 折りたたみ用
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#ifdef _MSC_VER
#include "localACL.hpp"
#endif
//using mint = modint1000000007;
using mint = modint998244353;
//using mint = modint; // mint::set_mod(m);
namespace atcoder {
inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; }
inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; }
}
using vm = vector<mint>; using vvm = vector<vm>; using vvvm = vector<vvm>; using vvvvm = vector<vvvm>; using pim = pair<int, mint>;
#endif
#ifdef _MSC_VER // 手元環境（Visual Studio）
#include "local.hpp"
#else // 提出用（gcc）
inline int popcount(int n) { return __builtin_popcount(n); }
inline int popcount(ll n) { return __builtin_popcountll(n); }
inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : -1; }
inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : -1; }
inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; }
inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; }
#define dump(...)
#define dumpel(v)
#define dump_list(v)
#define dump_mat(v)
#define input_from_file(f)
#define output_to_file(f)
#define Assert(b) { if (!(b)) while (1) cout << "OLE"; }
#endif
//【上から状態桁 DP，未満フラグ，前 0 フラグ，スコア和】O(n b m)（の改変）
/*
* b 進数で n 桁の数 num 以下の非負の整数で，桁の数字に 0 を含まず，
* 数字和が m の倍数であるものの和を返す．
*/
mint TLE(int M, vi v, vl l, int m = 3, int b = 10) {
string num;
rep(j, M) rep(hoge, l[j]) num += '0' + v[j];
dump("num:", num);
int n = sz(num);
// dp[i][f][j] : 以下の条件を満たす数の和：
// i : 上からの桁 d[0..i) まで決まっている．
// f : d[0..i) < num[0..i) なら 1，さもなくば 0（未満フラグ）
// d[0..i) の全てが '0' なら 2，さもなくば 0（前 0 フラグ）
// f はこれら 2 つのフラグの OR をとったもの
// j : d[0..i) の数字和 (mod m)
vvvm dp(n + 1, vvm(1LL << 2, vm(m)));
vvvm cnt(n + 1, vvm(1LL << 2, vm(m)));
cnt[0][0 | 2][0] = 1;
mint res = -8;
// 上の桁から順に配る DP
rep(i, n) {
// x : num の上から i 桁目の数
int x = num[i] - '0';
repb(f, 2) {
int smaller = f & 1;
int leading0 = (f >> 1) & 1;
// d_max : d[i] のとれる値の最大値
int d_max = (smaller ? b - 1 : x);
rep(j, m) {
// d : d[i]
repi(d, 0, d_max) {
int n_smaller = (int)(smaller || (d < d_max));
int n_leading0 = (int)(leading0 && (d == 0));
int nf = n_smaller | (n_leading0 << 1);
int nj = (j + d) % m;
cnt[i + 1][nf][nj] += cnt[i][f][j];
if (!n_leading0) dp[i + 1][nf][nj] += dp[i][f][j] + cnt[i][f][j];
if (i == n - 1) {
// 5 の倍数
if (d % 5 == 0) {
res += cnt[i][f][j] * 4;
}
// 3 の倍数
if (nj == 0) {
res += cnt[i][f][j] * 4;
}
// どちらでもない
if (d % 5 != 0 && nj != 0) {
res += dp[i][f][j] + cnt[i][f][j];
}
}
}
}
}
dump(i + 1, ":");
rep(f, 4) {
dump("(lz, smaller) =", bitset<2>(f));
dump("dp :", dp[i + 1][f]);
dump("cnt:", cnt[i + 1][f]);
}
}
return res;
}
void umekomi() {
int m = 3, b = 10;
vvvm mats(10, vvm(2 * 4 * 3, vm(2 * 4 * 3)));
rep(dig, 10) {
string num;
num += '0' + dig;
int n = sz(num);
rep(tp, 2) rep(F, 4) rep(J, 3) {
// dp[i][f][j] : 以下の条件を満たす数の和：
// i : 上からの桁 d[0..i) まで決まっている．
// f : d[0..i) < num[0..i) なら 1，さもなくば 0（未満フラグ）
// d[0..i) の全てが '0' なら 2，さもなくば 0（前 0 フラグ）
// f はこれら 2 つのフラグの OR をとったもの
// j : d[0..i) の数字和 (mod m)
vvvm dp(n + 1, vvm(1LL << 2, vm(m)));
vvvm cnt(n + 1, vvm(1LL << 2, vm(m)));
if (tp == 0) dp[0][F][J] = 1;
else cnt[0][F][J] = 1;
// 上の桁から順に配る DP
rep(i, n) {
// x : num の上から i 桁目の数
int x = num[i] - '0';
repb(f, 2) {
int smaller = f & 1;
int leading0 = (f >> 1) & 1;
// d_max : d[i] のとれる値の最大値
int d_max = (smaller ? b - 1 : x);
rep(j, m) {
// d : d[i]
repi(d, 0, d_max) {
int n_smaller = (int)(smaller || (d < d_max));
int n_leading0 = (int)(leading0 && (d == 0));
int nf = n_smaller | (n_leading0 << 1);
int nj = (j + d) % m;
cnt[i + 1][nf][nj] += cnt[i][f][j];
if (!n_leading0) dp[i + 1][nf][nj] += dp[i][f][j] + cnt[i][f][j];
}
}
}
}
rep(f, 4) rep(j, 3) mats[dig][tp * 12 + F * 3 + J][0 * 12 + f * 3 + j] = dp[1][f][j];
rep(f, 4) rep(j, 3) mats[dig][tp * 12 + F * 3 + J][1 * 12 + f * 3 + j] = cnt[1][f][j];
}
}
cout << "mint mats[10][24][24] = {";
rep(d, 10) {
cout << "{";
rep(i, 24) {
cout << "{";
rep(j, 24) {
cout << mats[d][i][j];
if (j < 23) cout << ",";
}
cout << "}\n";
if (i < 23) cout << ",";
}
cout << "}\n";
if (d < 9) cout << ",";
}
cout << "};\n";
exit(0);
}
mint mats[10][24][24] = { {{1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,4,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0}
,{0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0}
,{0,0,0,4,3,3,0,0,0,0,0,0,0,0,0,4,3,3,0,0,0,0,0,0}
,{0,0,0,3,4,3,0,0,0,0,0,0,0,0,0,3,4,3,0,0,0,0,0,0}
,{0,0,0,3,3,4,0,0,0,0,0,0,0,0,0,3,3,4,0,0,0,0,0,0}
,{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0}
,{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0}
,{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,1,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,1,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,0,1}
}
,{{0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,4,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0}
,{0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0}
,{1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0}
,{0,0,0,4,3,3,0,0,0,0,0,0,0,0,0,4,3,3,0,0,0,0,0,0}
,{0,0,0,3,4,3,0,0,0,0,0,0,0,0,0,3,4,3,0,0,0,0,0,0}
,{0,0,0,3,3,4,0,0,0,0,0,0,0,0,0,3,3,4,0,0,0,0,0,0}
,{0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0}
,{0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0}
,{1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,1,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,1,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,0,1}
}
,{{0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,4,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
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}
,{{1,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,1,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,4,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{1,0,0,2,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,1,0,3,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,1,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
,{1,0,0,3,3,3,0,0,0,0,0,0,1,0,0,3,3,3,0,0,0,0,0,0}
,{0,1,0,3,3,3,0,0,0,0,0,0,0,1,0,3,3,3,0,0,0,0,0,0}
,{0,0,1,3,3,3,0,0,0,0,0,0,0,0,1,3,3,3,0,0,0,0,0,0}
,{0,0,0,4,3,3,0,0,0,0,0,0,0,0,0,4,3,3,0,0,0,0,0,0}
,{0,0,0,3,4,3,0,0,0,0,0,0,0,0,0,3,4,3,0,0,0,0,0,0}
,{0,0,0,3,3,4,0,0,0,0,0,0,0,0,0,3,3,4,0,0,0,0,0,0}
,{1,0,0,2,3,3,0,0,0,0,0,0,1,0,0,2,3,3,0,0,0,1,0,0}
,{0,1,0,3,2,3,0,0,0,0,0,0,0,1,0,3,2,3,0,0,0,0,1,0}
,{0,0,1,3,3,2,0,0,0,0,0,0,0,0,1,3,3,2,0,0,0,0,0,1}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,1,0,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,1,0}
,{0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,0,1}
}
};
//【正方行列（固定サイズ）】
/*
* Fixed_matrix<T, n>() : O(n^2)
* T の要素を成分にもつ n×n 零行列で初期化する．
*
* Fixed_matrix<T, n>(bool identity = true) : O(n^2)
* T の要素を成分にもつ n×n 単位行列で初期化する．
*
* Fixed_matrix<T, n>(vvT a) : O(n^2)
* 二次元配列 a[0..n)[0..n) の要素で初期化する．
*
* A + B : O(n^2)
* n×n 行列 A, B の和を返す．+= も使用可．
*
* A - B : O(n^2)
* n×n 行列 A, B の差を返す．-= も使用可．
*
* c * A ／ A * c : O(n^2)
* n×n 行列 A とスカラー c のスカラー積を返す．*= も使用可．
*
* A * x : O(n^2)
* n×n 行列 A と n 次元列ベクトル array<T, n> x の積を返す．
*
* x * A : O(n^2)
* n 次元行ベクトル array<T, n> x と n×n 行列 A の積を返す．
*
* A * B : O(n^3)
* n×n 行列 A と n×n 行列 B の積を返す．
*
* Mat pow(ll d) : O(n^3 log d)
* 自身を d 乗した行列を返す．
*/
template <class T, int n>
struct Fixed_matrix {
array<array<T, n>, n> v; // 行列の成分
// n×n 零行列で初期化する．identity = true なら n×n 単位行列で初期化する．
Fixed_matrix(bool identity = false) {
rep(i, n) v[i].fill(T(0));
if (identity) rep(i, n) v[i][i] = T(1);
}
// 二次元配列 a[0..n)[0..n) の要素で初期化する．
Fixed_matrix(const vector<vector<T>>& a) {
// verify : https://yukicoder.me/problems/no/1000
Assert(sz(a) == n && sz(a[0]) == n);
rep(i, n) rep(j, n) v[i][j] = a[i][j];
}
// 代入
Fixed_matrix(const Fixed_matrix&) = default;
Fixed_matrix& operator=(const Fixed_matrix&) = default;
// アクセス
inline array<T, n> const& operator[](int i) const { return v[i]; }
inline array<T, n>& operator[](int i) { return v[i]; }
// 入力
friend istream& operator>>(istream& is, Fixed_matrix& a) {
rep(i, n) rep(j, n) is >> a[i][j];
return is;
}
// 比較
bool operator==(const Fixed_matrix& b) const { return v == b.v; }
bool operator!=(const Fixed_matrix& b) const { return !(*this == b); }
// 加算，減算，スカラー倍
Fixed_matrix& operator+=(const Fixed_matrix& b) {
rep(i, n) rep(j, n) v[i][j] += b[i][j];
return *this;
}
Fixed_matrix& operator-=(const Fixed_matrix& b) {
rep(i, n) rep(j, n) v[i][j] -= b[i][j];
return *this;
}
Fixed_matrix& operator*=(const T& c) {
rep(i, n) rep(j, n) v[i][j] *= c;
return *this;
}
Fixed_matrix operator+(const Fixed_matrix& b) const { return Fixed_matrix(*this) += b; }
Fixed_matrix operator-(const Fixed_matrix& b) const { return Fixed_matrix(*this) -= b; }
Fixed_matrix operator*(const T& c) const { return Fixed_matrix(*this) *= c; }
friend Fixed_matrix operator*(const T& c, const Fixed_matrix& a) { return a * c; }
Fixed_matrix operator-() const { return Fixed_matrix(*this) *= T(-1); }
// 行列ベクトル積 : O(n^2)
array<T, n> operator*(const array<T, n>& x) const {
array<T, n> y{ 0 };
rep(i, n) rep(j, n) y[i] += v[i][j] * x[j];
return y;
}
// ベクトル行列積 : O(n^2)
friend array<T, n> operator*(const array<T, n>& x, const Fixed_matrix& a) {
array<T, n> y{ 0 };
rep(i, n) rep(j, n) y[j] += x[i] * a[i][j];
return y;
}
// 積：O(n^3)
Fixed_matrix operator*(const Fixed_matrix& b) const {
// verify : https://yukicoder.me/problems/no/1000
Fixed_matrix res;
rep(i, n) rep(j, n) rep(k, n) res[i][j] += v[i][k] * b[k][j];
return res;
}
Fixed_matrix& operator*=(const Fixed_matrix& b) { *this = *this * b; return *this; }
// 累乗：O(n^3 log d)
Fixed_matrix pow(ll d) const {
Fixed_matrix res(true), pow2(*this);
while (d > 0) {
if (d & 1) res *= pow2;
pow2 *= pow2;
d /= 2;
}
return res;
}
#ifdef _MSC_VER
friend ostream& operator<<(ostream& os, const Fixed_matrix& a) {
rep(i, n) {
os << "[";
rep(j, n) os << a[i][j] << " ]"[j == n - 1];
if (i < n - 1) os << "\n";
}
return os;
}
#endif
};
mint TLE2(int M, vi v, vl l) {
array<mint, 24> vec;
rep(i, 24) vec[i] = 0;
vec[1 * 12 + (0 | 2) * 3 + 0] = 1;
rep(t, M) {
Fixed_matrix<mint, 24> mat;
rep(i, 24) rep(j, 24) mat[i][j] = mats[v[t]][i][j];
if (t < M - 1) mat = mat.pow(l[t]);
else mat = mat.pow(l[t] - 1);
vec = vec * mat;
}
mint res = -8;
// x : num の上から i 桁目の数
int x = v[M - 1];
repb(f, 2) {
int smaller = f & 1;
int leading0 = (f >> 1) & 1;
// d_max : d[i] のとれる値の最大値
int d_max = (smaller ? 10 - 1 : x);
rep(j, 3) {
// d : d[i]
repi(d, 0, d_max) {
int n_smaller = (int)(smaller || (d < d_max));
int n_leading0 = (int)(leading0 && (d == 0));
int nf = n_smaller | (n_leading0 << 1);
int nj = (j + d) % 3;
// 5 の倍数
if (d % 5 == 0) {
res += vec[1 * 12 + f * 3 + j] * 4;
}
// 3 の倍数
if (nj == 0) {
res += vec[1 * 12 + f * 3 + j] * 4;
}
// どちらでもない
if (d % 5 != 0 && nj != 0) {
res += vec[0 * 12 + f * 3 + j] + vec[1 * 12 + f * 3 + j];
}
}
}
}
return res;
}
int main() {
// input_from_file("input.txt");
// output_to_file("output.txt");
// umekomi();
int m;
cin >> m;
vi v(m); vl l(m);
rep(j, m) cin >> v[j] >> l[j];
// dump(TLE(m, v, l)); dump("-----");
cout << TLE2(m, v, l) << endl;
}