#1166044 (C++17) No.3548 SigMax Digits (Construction ver.)

• 問題: No.3548 SigMax Digits (Construction ver.)
• ユーザー: 👑 AngrySadEight
• 提出日時: 2026-05-22 22:41:32
• 言語: C++17 (gcc 15.2.0 + boost 1.89.0)
• 結果: AC
• 実行時間: 132 ms / 2,000 ms
• コード長: 4,085 bytes
• コンパイル時間: 2,609 ms
• コンパイル使用メモリ: 214,376 KB
• 実行使用メモリ: 6,400 KB
• 最終ジャッジ日時: 2026-05-22 22:41:40
• 合計ジャッジ時間: 6,193 ms
• ジャッジサーバーID （参考情報）: judge2_1 / judge3_0

ファイルパターン	結果
sample	AC * 1
other	AC * 7

ソースコード

#include <algorithm>
#include <atcoder/all>
#include <bitset>
#include <cassert>
#include <cmath>
#include <ctime>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int, int>
#define pil pair<int, ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int, int>>
#define vpll vector<pair<ll, ll>>
#define vvpii vector<vector<pair<int, int>>>
#define vvpll vector<vector<pair<ll, ll>>>

template <typename T>
void debug(T e) {
    cerr << e << endl;
}

template <typename T>
void debug(vector<T> &v) {
    rep(i, v.size()) { cerr << v[i] << " "; }
    cerr << endl;
}

template <typename T>
void debug(vector<vector<T>> &v) {
    rep(i, v.size()) {
        rep(j, v[i].size()) { cerr << v[i][j] << " "; }
        cerr << endl;
    }
}

template <typename T>
void debug(vector<pair<T, T>> &v) {
    rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; }
}

template <typename T>
void debug(set<T> &st) {
    for (auto itr = st.begin(); itr != st.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(multiset<T> &ms) {
    for (auto itr = ms.begin(); itr != ms.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(map<T, T> &mp) {
    for (auto itr = mp.begin(); itr != mp.end(); itr++) {
        cerr << itr->first << " " << itr->second << endl;
    }
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << H << " ";
    debug_out(T...);
}

using mint = modint998244353;

void debug_mint1(vector<mint> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        cerr << vec[i].val() << " ";
    }
    cerr << endl;
}

void debug_mint2(vector<vector<mint>> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        for (int j = 0; j < vec[i].size(); j++) {
            cerr << vec[i][j].val() << " ";
        }
        cerr << endl;
    }
}

ll calc_fn(ll x){
    ll max_v = 0;
    string s = to_string(x);
    for (ll i = 0; i < s.size(); i++){
        ll v = (ll)(s[i] - '0');
        max_v = max(max_v, v);
    }
    return max_v;
}

int main() {
    // N が 100 以下とかで小さいとき、全探索すればおそらく見つかる
    vector<ll> fn(5001, 0);
    for (ll i = 1; i < 5001; i++){
        fn[i] = calc_fn(i);
    }
    vector<ll> fn_sum(5001, 0);
    rep(i, 5000) fn_sum[i + 1] = fn_sum[i] + fn[i + 1];

    vector<pll> ans(101);
    for (ll i = 0; i <= 5000; i++){
        for (ll j = i + 1; j <= 5000; j++){
            ll v = fn_sum[j] - fn_sum[i];
            if (v <= 100){
                ans[v] = make_pair(i + 1, j);
            }
        }
    }
    // debug(ans);
    ll T;
    cin >> T;
    while (T--){
        ll N;
        cin >> N;
        if (N <= 100){
            cout << ans[N].first << " " << ans[N].second << endl;
        }
        else{
            ll rem = N % 9;
            rem = (9 - rem) % 9;
            ll div = (N - rem * 8) / 9;

            ll min_val = 888888888888888889 - rem;
            ll max_val = 888888888888888889 + div - 1;
            cout << min_val << " " << max_val << endl;
        }
    }
}