Mizar / みざー mizar

For the calculation of the sum of integers $A, B$ in $N$-decimal, we divide the $(i-1):k$-digit part into $(i-1):j$-digit and $(j-1):k$-digit parts and consider whether the carry-over occurs for each. $(i \gt j \gt k)$

First, the integers $A, B$ are divided into $(i-1):j$ digits in $N$-decimal, and the values $A_{i-1:j}, B_{i-1:j}$ are added to determine whether carry-forward occurs for the digits above the interval, which are classified into three states as follows.

$A_{i-1:j}+B_{i-1:j} \lt N^{i-j}-1$ ; None
$A_{i-1:j}+B_{i-1:j} = N^{i-j}-1$ ; Propagate
$A_{i-1:j}+B_{i-1:j} \gt N^{i-j}-1$ ; Generate

Example for a decimal number:

Legal Policy

No	TYPE	Count
01	UP	72
02	UP_LEFT	64
03	UP_RIGHT	64
04	LEFT	72
05	RIGHT	72
06	DOWN	72

USIエンジン状態遷移図（抄）

graph LR;
flowstart((起動)) -->|usi| usioption[/option/] --> usiok[/usiok/] --> usimode((USIモード)) -->|isready| isready[初期化処理] --> readyok[/readyok/] --> ready((初期化済み))
--> |usinewgame| ingame((対局中));
usimode -->|setoption| setoption[オプション設定] --> usimode;
ingame -->|go| search((探索)) -->|"(探索完了)"| bestmove[/bestmove/] --> ingame;
ingame -->|position| setposition[局面設定] --> ingame;
search -->|stop| bestmove;

👇

$$ \operatorname{I}_x(a,b)=\dots, d_{2n}=\dots $$

👆

$$ \operatorname{I}_x(a,b)=\dots, d_{2n}=\dots $$

	use std::collections::HashMap;

	fn greet_map(id: usize, name: String) -> HashMap<usize, String> {
	let mut map = HashMap::new();
	let message = format!("Hello, {}!", name);
	map.insert(id, message);
	map
	}

	fn main() {

	import base64, io, struct, zlib
	from typing import BinaryIO, List, Tuple, Union


	COLOR_TYPE_V = 0
	COLOR_TYPE_VA = 4
	COLOR_TYPE_RGB = 2
	COLOR_TYPE_RGBA = 6
	PixelV = Tuple[int]
	PixelVA = Tuple[int, int]

	// -- coding:utf-8-unix --

	//! エラトステネスの篩 & 生成した素数の試し割りによる素因数分解
	//!
	//! ## 素因数分解の実行例
	//!
	//! [`main`] を参照
	//!
	//! ## ベンチマーク実行例
	//!

	* text=auto
	*.bat text eol=crlf
	*.cmd text eol=crlf
	*.sh text eol=lf
	*.onnx -text
	*.zip -text

	* text=auto
	*.bat text eol=crlf
	*.cmd text eol=crlf
	*.sh text eol=lf