197 lines
4.5 KiB
Rust
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!();
|
|
}
|
|
}
|