# #![allow(unused_imports)]
# #![allow(clippy::style)]
# use algo::input;
# use std::cmp::{max, min};
# use std::collections::{HashMap, HashSet, VecDeque};
#
# const MOD: usize = 998244353;
# const MAX_N: usize = 2010;
# const MAX_C: usize = MAX_N * 2;
#
# fn main() {
#     input! {
#         c: chars,
#     }
#     let n = c.len();
#
#     let mut cnt = vec![(0, 0); 2 * n + 10];
#     for i in 0..2 * n {
#         let (a, b) = if i < n {
#             match c[i] {
#                 '0' => (2, 0),
#                 '1' => (1, 1),
#                 '2' => (0, 2),
#                 _ => unreachable!(),
#             }
#         } else {
#             (0, 0)
#         };
#         let (x, y) = cnt[i];
#         cnt[i + 1] = (x + a, y + b);
#     }
#
#     let mut dp = vec![0; 2 * n + 1];
#     dp[0] = 1;
#     for i in 0..2 * n {
#         let mut ndp = vec![0; 2 * n + 1];
#         let (a, b) = cnt[i + 1];
#         for x in 0..=i {
#             if dp[x] >= 1 {
#                 let y = i - x;
#                 if a > x {
#                     ndp[x + 1] += dp[x];
#                     ndp[x + 1] %= MOD;
#                 }
#                 if b > y {
#                     ndp[x] += dp[x];
#                     ndp[x] %= MOD;
#                 }
#             }
#         }
#         dp = ndp;
#     }
#     let (a, _) = cnt[2 * n];
#     println!("{}", dp[a]);
# }
#
cat << '_EOF' | base64 -d > /tmp/exec
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AEAAAAAAAAEAAAAFAAAAAAAAAAAAAAAAABAAAAAAAAAAEAAAAAAAiEIBAAAAAACIQgEAAAAAAAAA
IAAAAAAAAQAAAAYAAADgAQAAAAAAAODRIgAAAAAA4NEiAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAA
AAAAAABR5XRkBgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAA
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_EOF
chmod +x /tmp/exec
/tmp/exec


Measured memory_bytes: 4328