Files

197 lines
4.5 KiB
Rust

use std::io::{read_to_string, stdin};
const SIZE: usize = 3;
fn get_horizontal_with_cnt_zeros(magic_square: &[u64; 9], row: usize) -> (u64, usize) {
let mut sum = 0;
let mut cnt_zeros = 0;
for j in 0..SIZE {
let v = magic_square[row * SIZE + j];
if v == 0 {
cnt_zeros += 1;
}
sum += v;
}
(sum, cnt_zeros)
}
fn get_vertical_with_cnt_zeros(magic_square: &[u64; 9], col: usize) -> (u64, usize) {
let mut sum = 0;
let mut cnt_zeros = 0;
for i in 0..SIZE {
let v = magic_square[i * SIZE + col];
if v == 0 {
cnt_zeros += 1;
}
sum += v;
}
(sum, cnt_zeros)
}
fn get_diagonal1_with_cnt_zeros(magic_square: &[u64; 9]) -> (u64, usize) {
let mut sum = 0;
let mut cnt_zeros = 0;
for i in 0..SIZE {
let v = magic_square[i * SIZE + i];
if v == 0 {
cnt_zeros += 1;
}
sum += v;
}
(sum, cnt_zeros)
}
fn get_diagonal2_with_cnt_zeros(magic_square: &[u64; 9]) -> (u64, usize) {
let mut sum = 0;
let mut cnt_zeros = 0;
for i in 0..SIZE {
let v = magic_square[i * SIZE + (SIZE - 1 - i)];
if v == 0 {
cnt_zeros += 1;
}
sum += v;
}
(sum, cnt_zeros)
}
fn main() {
let temp = read_to_string(stdin()).unwrap();
let mut iter = temp
.split_ascii_whitespace()
.map(|x| x.parse::<u64>().unwrap());
let mut magic_square = [0; 9];
let mut missings = vec![];
for i in 0..SIZE * SIZE {
let value = iter.next().unwrap();
if value == 0 {
missings.push(i);
}
magic_square[i] = value;
}
let mut res = 0u64;
let mut zero_flag = false;
for i in 0..SIZE {
let mut s1 = 0;
let mut s2 = 0;
let mut z1 = 0;
let mut z2 = 0;
for j in 0..SIZE {
let v1 = magic_square[i * SIZE + j];
if v1 == 0 {
z1 += 1;
}
s1 += v1;
let v2 = magic_square[i + SIZE * j];
if v2 == 0 {
z2 += 1;
}
s2 += v2;
}
if s1 == 0 || s2 == 0 {
zero_flag = true;
break;
}
if z1 == 0 {
res = s1;
break;
} else if z2 == 0 {
res = s2;
break;
}
}
{
let mut s1 = 0;
let mut s2 = 0;
let mut z1 = 0;
let mut z2 = 0;
for i in 0..SIZE {
let v1 = magic_square[i * SIZE + i];
let v2 = magic_square[i * SIZE + (SIZE - 1 - i)];
if v1 == 0 {
z1 += 1;
}
if v2 == 0 {
z2 += 1;
}
s1 += v1;
s2 += v2;
}
if s1 == 0 || s2 == 0 {
zero_flag = true;
}
if z1 == 0 {
res = s1;
} else if z2 == 0 {
res = s2;
}
}
if zero_flag {
res = magic_square.iter().sum::<u64>() / (SIZE as u64 - 1);
}
loop {
let mut cnt_zero = 0;
for i in 0..SIZE * SIZE {
if magic_square[i] == 0 {
cnt_zero += 1;
// fill
let (r, c) = (i / SIZE, i % SIZE);
let (h_sum, h_cnt_zeros) = get_horizontal_with_cnt_zeros(&magic_square, r);
let (v_sum, v_cnt_zeros) = get_vertical_with_cnt_zeros(&magic_square, c);
if h_cnt_zeros == 1 {
magic_square[i] = res - h_sum;
} else if v_cnt_zeros == 1 {
magic_square[i] = res - v_sum;
} else {
if r == c {
let (d1_sum, d1_cnt_zeros) = get_diagonal1_with_cnt_zeros(&magic_square);
if d1_cnt_zeros == 1 {
magic_square[i] = res - d1_sum;
continue;
}
}
if r + c == SIZE - 1 {
let (d2_sum, d2_cnt_zeros) = get_diagonal2_with_cnt_zeros(&magic_square);
if d2_cnt_zeros == 1 {
magic_square[i] = res - d2_sum;
continue;
}
}
}
}
}
if cnt_zero == 0 {
break;
}
}
for i in 0..SIZE {
for j in 0..SIZE {
print!("{} ", magic_square[i * SIZE + j]);
}
println!();
}
}