結果
| 問題 |
No.5021 Addition Pyramid
|
| ユーザー |
 Jiro_tech15
|
| 提出日時 | 2025-02-25 21:50:12 |
| 言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 1,853 ms / 2,000 ms |
| コード長 | 26,552 bytes |
| コンパイル時間 | 10,468 ms |
| コンパイル使用メモリ | 207,068 KB |
| 実行使用メモリ | 6,824 KB |
| スコア | 223,783,818 |
| 最終ジャッジ日時 | 2025-02-25 21:51:59 |
| 合計ジャッジ時間 | 107,394 ms |
|
ジャッジサーバーID （参考情報） |
judge6 / judge5 |
| 純コード判定しない問題か言語 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| other | AC * 50 |
ソースコード
namespace atcoder {}
#ifdef LOCAL
#define dbg(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl;
#else
#define NDEBUG
#define dbg(x) true;
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#ifdef GTEST
#include <gtest/gtest.h>
#endif
#include <math.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cstdlib>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#ifdef PERF
#include <gperftools/profiler.h>
#endif
using namespace std;
using namespace atcoder;
#define fast_io \
ios_base::sync_with_stdio(false); \
cin.tie(0); \
cout.tie(0);
#define ll long long int
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define reps(i, n) for (int i = 1; i <= (int)(n); i++)
#define REP(i, n) for (int i = n - 1; i >= 0; i--)
#define REPS(i, n) for (int i = n; i > 0; i--)
// #define MOD (long long int)(1e9 + 7)
#define INF (int)(1e9)
#define LINF (long long int)(1e18)
#define all(v) v.begin(), v.end()
typedef pair<int, int> Pii;
typedef pair<ll, ll> Pll;
const double PI = acos(-1);
#ifdef NDEBUG
#define CHECK(v1, op, v2)
#else
#define CHECK(v1, op, v2) \
if (!((v1)op(v2))) { \
cerr << "ERROR:" << (v1) << " " << (v2) << endl; \
assert((v1)op(v2)); \
}
#endif
long double nCr(const int n, const int r) {
long double ret = 1;
rep(t, r) {
ret *= (n - t);
ret /= (r - t);
}
return ret;
}
template <typename T>
string to_string(const vector<T>& vec) {
string ret = "";
rep(i, vec.size()) {
ret += vec[i].to_string();
if (i + 1 != vec.size()) {
ret += ",";
}
}
return ret;
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& vec) {
os << to_string(vec);
return os;
}
uint32_t xorshift() {
static uint32_t x = 12345789;
static uint32_t y = 362436069;
static uint32_t z = 521288629;
static uint32_t w = 38675123;
uint32_t t;
t = x ^ (x << 11);
x = y;
y = z;
z = w;
w ^= t ^ (t >> 8) ^ (w >> 19);
return w;
}
int rand(const int l, const int r) {
return xorshift() % (r - l) + l;
}
int rand_other_than(const int l, const int r,
const int other) {
const int num = rand(l, r - 1);
return num + (num >= other);
}
template <typename T>
const T& rand_vec(const vector<T>& vec) {
assert(vec.size() > 0);
return vec[rand(0, vec.size())];
}
template <typename T>
void shuffle(vector<T>& vec) {
rep(l, (int)vec.size() - 1) {
const int idx = rand(l, vec.size());
swap(vec[idx], vec[l]);
}
}
template <class T, class U = T>
bool chmin(T& x, U&& y) {
return y < x && (x = std::forward<U>(y), true);
}
template <class T, class U = T>
bool chmax(T& x, U&& y) {
return x < y && (x = std::forward<U>(y), true);
}
template <typename Ret, typename T>
Ret Sum(const vector<T>& vec) {
return std::accumulate(all(vec), (Ret)0);
}
template <typename Ret, typename T>
Ret Mean(const vector<T>& vec) {
assert((int)vec.size() > 0);
return Sum<T, Ret>(vec) / vec.size();
}
template <typename Ret, typename T>
Ret Std(const vector<T>& vec) {
assert((int)vec.size() > 0);
const auto mean = Mean<Ret>(vec);
const auto sum2 = std::accumulate(
all(vec), (Ret)0,
[](const Ret acc, const T val) { return acc + (Ret)val * val; });
return (Ret)sum2 / vec.size() - mean * mean;
}
template<typename T, typename U>
T Ceil(const T a, const U b){
assert(a >= 0);
assert(b > 0);
return (a + b - 1) / b;
}
template<typename T, typename U>
T Mod(const T a, const U b){
return (a + b) % b;
}
class Timer {
chrono::system_clock::time_point _start, _end;
ll _sum = 0, _count = 0;
public:
void start() { _start = chrono::system_clock::now(); }
void stop() { _end = chrono::system_clock::now(); }
void add() {
const chrono::system_clock::time_point now = chrono::system_clock::now();
_sum += static_cast<double>(
chrono::duration_cast<chrono::nanoseconds>(now - _start).count());
_count++;
}
ll sum() const { return _sum / 1000; }
int count() const { return _count; }
string average() const {
if (_count == 0) {
return "NaN";
}
return to_string(_sum / 1000 / _count);
}
void reset() {
_start = chrono::system_clock::now();
_sum = 0;
_count = 0;
}
inline int ms() const {
const chrono::system_clock::time_point now = chrono::system_clock::now();
return static_cast<double>(
chrono::duration_cast<chrono::microseconds>(now - _start).count() /
1000);
}
inline int ns() const {
const chrono::system_clock::time_point now = chrono::system_clock::now();
return static_cast<double>(
chrono::duration_cast<chrono::microseconds>(now - _start).count());
}
};
#ifdef LOCAL
struct Timers : unordered_map<string, Timer> {
friend ostream& operator<<(ostream& os, const Timers& timers) {
for (const auto& pa : timers) {
os << pa.first << " time: " << pa.second.sum() / 1000
<< " count: " << pa.second.count() << endl;
}
return os;
}
};
#else
struct Timers {
struct Dummy {
void start() const {}
void add() const {}
};
Dummy dummy;
const Dummy& operator[](const std::string& str) { return dummy; }
friend ostream& operator<<(ostream& os, const Timers& timers) { return os; }
};
#endif
Timers global_timers;
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0) x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) < 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v) v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1) return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1) r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1) return false;
if (n == 2 || n == 7 || n == 61) return true;
if (n % 2 == 0) return false;
long long d = n - 1;
while (d % 2 == 0) d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0) return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0) m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2) return 1;
if (m == 167772161) return 3;
if (m == 469762049) return 3;
if (m == 754974721) return 11;
if (m == 998244353) return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0) x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok) return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value,
__uint128_t,
unsigned __int128>;
template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value,
make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)>* = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T>* = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0) x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T>* = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator-=(const mint& rhs) {
_v -= rhs._v;
if (_v >= umod()) _v += umod();
return *this;
}
mint& operator*=(const mint& rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T>* = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0) x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T>* = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator-=(const mint& rhs) {
_v += mod() - rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator*=(const mint& rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
using mint = modint;
/* start */
Timer global_timer;
int N;
vector<vector<mint>> A;
const int kHalfMod = (int)5e7;
int Diff(const mint a, const mint b){
return min((int)(a - b).val(), (int)(b - a).val());
}
struct Output {
static void StaticInit(istream &is) {
global_timer.start();
mint::set_mod((int)1e8);
cin >> N;
rep(i, N) {
A.push_back(vector<mint>());
rep(j, i+1) {
int a;
cin >> a;
A[i].push_back(a);
}
}
}
friend ostream &operator<<(ostream &os, const Output &output) { return os; }
};
/* start */
vector<double> PARAMS = {1.0, 0.1};
/* start */
struct Solution {
vector<vector<mint>> B;
Solution(mint b) : B(N) {
B[0].push_back(b);
rep(i, N) {
if (i == 0)
continue;
rep(j, i + 1) { B[i].push_back(0); }
}
}
auto &Get(int i) { return B[i]; }
int MaxDiff(int i) {
int maxDiff = 0;
rep(j, i + 1) { maxDiff = max(maxDiff, Diff(A[i][j], B[i][j])); }
return maxDiff;
}
void ResetRow(const int i, const mint firstValue) {
B[i][0] = firstValue;
rep(j, i) { B[i][j + 1] = B[i - 1][j] - B[i][j]; }
}
friend ostream &operator<<(ostream &os, const Solution &sol) {
rep(j, N) {
os << sol.B[N - 1][j].val();
if (j != N - 1)
os << " ";
}
return os;
}
};
class Solver {
public:
int globalMinMaxDiff = INF;
Solver() {}
int Row(Solution &sol, const int i, const int oldMaxDiff) {
// iの最初の要素を山登り
sol.ResetRow(i, A[i][0] + rand(-oldMaxDiff, oldMaxDiff + 1));
int minMaxDiff = sol.MaxDiff(i);
if (minMaxDiff <= oldMaxDiff) {
return oldMaxDiff;
}
for (int delta = (int)4e6; delta > 0; delta /= 4) {
const int oldFirstValue = sol.Get(i)[0].val();
bool updated = false;
for (const int newFirstValue :
{oldFirstValue + delta, oldFirstValue - delta}) {
sol.ResetRow(i, newFirstValue);
const int newMaxDiff = sol.MaxDiff(i);
if (newMaxDiff < minMaxDiff) {
// cerr << kHalfMod - newMaxDiff << " " << kHalfMod - minMaxDiff <<
// endl;
minMaxDiff = newMaxDiff;
updated = true;
break;
}
}
if (!updated) {
sol.ResetRow(i, oldFirstValue);
}
if (minMaxDiff < oldMaxDiff) {
return oldMaxDiff;
}
}
return minMaxDiff;
}
pair<Solution, int> Step(const mint top) {
// 先頭
Solution sol(top);
// 2行目は一旦最適に
{
const auto &secondA = A[1];
auto &secondB = sol.Get(1);
// 最適
secondB[0] = secondA[0];
// しわ寄せ
secondB[1] = top - secondB[0];
// 距離を等分
if (secondA[1].val() < secondB[1].val()) {
const int diff = secondB[1].val() - secondA[1].val();
const int halfDiff = diff / 2;
if (secondA[1].val() + kHalfMod < secondB[1].val()) {
// B1を増やす
secondB[0] = secondB[0] - halfDiff;
secondB[1] = secondB[1] + halfDiff;
} else {
// B1を減らす
secondB[0] = secondB[0] + halfDiff;
secondB[1] = secondB[1] - halfDiff;
}
} else {
const int diff = secondA[1].val() - secondB[1].val();
const int halfDiff = diff / 2;
if (secondB[1].val() + kHalfMod < secondA[1].val()) {
// B1を減らす
secondB[0] = secondB[0] + halfDiff;
secondB[1] = secondB[1] - halfDiff;
} else {
// B1を増やす
secondB[0] = secondB[0] - halfDiff;
secondB[1] = secondB[1] + halfDiff;
}
}
}
int oldMaxDiff = max(sol.MaxDiff(0), sol.MaxDiff(1));
for (int i = 2; i < N; i++) {
Solution bestSol = sol;
int minMaxDiff = INF;
rep(t, 100) {
const int newMaxDiff = Row(sol, i, oldMaxDiff);
if (newMaxDiff < minMaxDiff) {
minMaxDiff = newMaxDiff;
bestSol = sol;
if (newMaxDiff <= oldMaxDiff) {
break;
}
}
}
// 探索打ち切り
if (globalMinMaxDiff < minMaxDiff) {
return {bestSol, INF};
}
assert(minMaxDiff >= bestSol.MaxDiff(i));
chmax(oldMaxDiff, minMaxDiff);
sol = bestSol;
}
return {sol, oldMaxDiff};
}
void Solve() {
Solution bestSol(0);
globalMinMaxDiff = kHalfMod;
constexpr int kTimeLImit = 1850;
while (global_timer.ms() < kTimeLImit) {
const auto [sol, maxDiff] = Step(
A[0][0] + rand(-globalMinMaxDiff / 10, globalMinMaxDiff / 10 + 1));
if (maxDiff < globalMinMaxDiff) {
globalMinMaxDiff = maxDiff;
bestSol = sol;
}
}
int debug = 0;
rep(i, N) {
rep(j, i + 1) {
chmax(debug, Diff(A[i][j], bestSol.Get(i)[j]));
if (i + 1 < N) {
assert(bestSol.Get(i)[j] ==
bestSol.Get(i + 1)[j] + bestSol.Get(i + 1)[j + 1]);
}
}
}
cerr << kHalfMod - debug << endl;
cerr << "score " << kHalfMod - globalMinMaxDiff << endl;
cout << bestSol << endl;
return;
}
private:
};
int main(int argc, char* argv[]) {
fast_io;
if (argc >= 2) {
int idx = 0;
for (int i = 1; i < argc; ++i) {
PARAMS[idx++] = std::stod(argv[i]);
}
}
Timer timer;
timer.start();
Output::StaticInit(cin);
Solver solver;
solver.Solve();
return 0;
}