rust-igraph 0.7.0

//! Static atlas-of-graphs data tables (ALGO-CN-021).
//!
//! Transliterated byte-for-byte from
//! `references/igraph/src/constructors/atlas-edges.h` — the flat-encoded
//! edge list for the 1253 simple unlabelled undirected graphs on
//! 0..7 vertices in the Read-Wilson "An Atlas of Graphs" (1998)
//! ordering (vcount asc, ecount asc, degree sequence lex asc,
//! automorphism count asc within each cell).
//!
//! `ATLAS_EDGES` holds `[vcount, ecount, edge0_a, edge0_b, …]` rows
//! packed end-to-end. `ATLAS_EDGES_POS[i]` is the starting offset of
//! graph `i` in `ATLAS_EDGES`. `ATLAS_EDGES_POS.len() == 1253`.

#[rustfmt::skip]
pub(super) const ATLAS_EDGES: &[u32] = &[

    0, 0,
    1, 0,
    2, 0,
    2, 1, 0, 1,
    3, 0,
    3, 1, 1, 2,
    3, 2, 0, 1, 0, 2,
    3, 3, 0, 1, 0, 2, 1, 2,
    4, 0,
    4, 1, 3, 2,
    4, 2, 3, 2, 3, 1,
    4, 2, 0, 1, 3, 2,
    4, 3, 3, 2, 1, 2, 3, 1,
    4, 3, 3, 0, 3, 1, 3, 2,
    4, 3, 0, 1, 1, 2, 0, 3,
    4, 4, 3, 2, 1, 2, 3, 1, 3, 0,
    4, 4, 0, 1, 1, 2, 2, 3, 0, 3,
    4, 5, 0, 1, 0, 2, 0, 3, 1, 2, 2, 3,
    4, 6, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2,
    5, 0,
    5, 1, 4, 3,
    5, 2, 1, 2, 0, 1,
    5, 2, 0, 2, 4, 3,
    5, 3, 1, 2, 0, 1, 2, 0,
    5, 3, 4, 3, 3, 2, 3, 1,
    5, 3, 3, 2, 4, 3, 0, 4,
    5, 3, 1, 2, 0, 1, 4, 3,
    5, 4, 4, 3, 1, 2, 3, 1, 3, 2,
    5, 4, 0, 3, 1, 0, 2, 1, 3, 2,
    5, 4, 4, 3, 4, 0, 4, 1, 4, 2,
    5, 4, 4, 0, 3, 1, 4, 3, 3, 2,
    5, 4, 2, 3, 1, 2, 0, 1, 4, 0,
    5, 4, 1, 2, 0, 1, 2, 0, 4, 3,
    5, 5, 0, 3, 2, 0, 3, 2, 1, 0, 2, 1,
    5, 5, 4, 2, 4, 3, 2, 3, 4, 1, 4, 0,
    5, 5, 0, 1, 1, 2, 2, 3, 0, 4, 0, 2,
    5, 5, 4, 0, 1, 2, 4, 3, 3, 2, 3, 1,
    5, 5, 1, 0, 4, 1, 2, 4, 3, 2, 1, 3,
    5, 5, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4,
    5, 6, 1, 0, 4, 1, 4, 0, 0, 3, 1, 3, 3, 4,
    5, 6, 1, 0, 4, 1, 2, 4, 3, 2, 1, 3, 2, 1,
    5, 6, 1, 0, 4, 1, 2, 4, 3, 2, 1, 3, 3, 4,
    5, 6, 0, 1, 4, 3, 2, 3, 4, 2, 4, 0, 4, 1,
    5, 6, 0, 4, 3, 0, 4, 3, 2, 3, 1, 2, 0, 1,
    5, 6, 2, 1, 0, 2, 3, 0, 1, 3, 4, 1, 0, 4,
    5, 7, 4, 0, 1, 2, 4, 3, 3, 2, 3, 1, 4, 1, 2, 4,
    5, 7, 4, 1, 2, 4, 3, 2, 1, 3, 3, 4, 0, 3, 4, 0,
    5, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1,
    5, 7, 2, 1, 0, 2, 3, 0, 1, 3, 4, 1, 0, 4, 2, 4,
    5, 8, 1, 0, 4, 1, 2, 4, 3, 2, 1, 3, 4, 0, 3, 4, 0, 3,
    5, 8, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3,
    5, 9, 0, 1, 3, 4, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4,
    5, 10, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4,
    6, 0,
    6, 1, 5, 4,
    6, 2, 0, 3, 5, 4,
    6, 2, 1, 3, 1, 2,
    6, 3, 1, 3, 2, 1, 3, 2,
    6, 3, 0, 3, 5, 0, 4, 0,
    6, 3, 4, 3, 5, 4, 0, 5,
    6, 3, 4, 3, 5, 1, 5, 2,
    6, 3, 1, 2, 3, 0, 5, 4,
    6, 4, 0, 3, 4, 0, 5, 4, 0, 5,
    6, 4, 3, 0, 5, 3, 4, 5, 0, 4,
    6, 4, 5, 1, 5, 3, 5, 2, 0, 5,
    6, 4, 4, 3, 3, 1, 4, 0, 3, 2,
    6, 4, 0, 2, 1, 3, 2, 1, 5, 3,
    6, 4, 1, 3, 2, 1, 3, 2, 0, 5,
    6, 4, 1, 2, 0, 3, 5, 0, 4, 0,
    6, 4, 4, 5, 1, 2, 0, 5, 3, 4,
    6, 4, 0, 2, 4, 0, 3, 1, 5, 3,
    6, 5, 3, 0, 5, 3, 4, 5, 0, 4, 5, 0,
    6, 5, 5, 3, 3, 1, 3, 2, 4, 3, 4, 5,
    6, 5, 5, 3, 5, 4, 2, 3, 3, 4, 0, 4,
    6, 5, 4, 3, 1, 2, 4, 0, 3, 2, 3, 1,
    6, 5, 1, 4, 3, 4, 4, 0, 2, 1, 3, 2,
    6, 5, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4,
    6, 5, 5, 3, 5, 4, 5, 0, 5, 1, 5, 2,
    6, 5, 1, 4, 5, 1, 1, 0, 2, 1, 2, 3,
    6, 5, 0, 1, 3, 4, 0, 2, 3, 0, 5, 3,
    6, 5, 1, 0, 2, 1, 2, 4, 1, 3, 5, 3,
    6, 5, 4, 3, 0, 5, 4, 0, 3, 2, 3, 1,
    6, 5, 1, 2, 0, 1, 4, 5, 1, 3, 2, 3,
    6, 5, 0, 1, 0, 5, 2, 3, 3, 4, 4, 5,
    6, 5, 4, 3, 5, 1, 5, 2, 0, 3, 4, 0,
    6, 5, 1, 2, 3, 0, 5, 3, 4, 5, 0, 4,
    6, 6, 0, 3, 5, 0, 4, 5, 3, 4, 5, 3, 4, 0,
    6, 6, 1, 4, 2, 4, 4, 0, 2, 3, 3, 1, 3, 4,
    6, 6, 1, 4, 2, 4, 4, 0, 2, 1, 3, 1, 2, 3,
    6, 6, 2, 0, 5, 4, 4, 3, 5, 3, 4, 0, 2, 4,
    6, 6, 3, 2, 4, 3, 0, 4, 1, 0, 2, 1, 0, 3,
    6, 6, 4, 1, 3, 1, 4, 2, 3, 2, 2, 0, 1, 0,
    6, 6, 5, 2, 5, 3, 5, 4, 3, 4, 5, 1, 5, 0,
    6, 6, 4, 3, 4, 2, 4, 0, 1, 4, 3, 0, 5, 3,
    6, 6, 4, 3, 3, 5, 5, 4, 5, 1, 3, 2, 4, 0,
    6, 6, 4, 2, 1, 2, 4, 3, 4, 1, 4, 0, 0, 5,
    6, 6, 1, 2, 3, 1, 0, 3, 2, 0, 4, 0, 5, 0,
    6, 6, 2, 0, 4, 2, 1, 4, 2, 1, 3, 1, 5, 3,
    6, 6, 1, 2, 3, 1, 0, 3, 2, 0, 4, 0, 5, 3,
    6, 6, 5, 3, 2, 5, 2, 0, 4, 2, 4, 3, 3, 1,
    6, 6, 0, 2, 3, 4, 1, 0, 5, 3, 4, 5, 3, 0,
    6, 6, 1, 2, 3, 0, 5, 3, 4, 5, 0, 4, 5, 0,
    6, 6, 4, 3, 1, 2, 4, 0, 3, 2, 3, 1, 5, 0,
    6, 6, 1, 4, 2, 4, 4, 0, 0, 5, 3, 1, 2, 3,
    6, 6, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 5,
    6, 6, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5,
    6, 6, 1, 3, 2, 1, 3, 2, 0, 4, 5, 0, 4, 5,
    6, 7, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 0, 5,
    6, 7, 1, 4, 2, 4, 2, 1, 3, 1, 2, 3, 2, 0, 0, 1,
    6, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1,
    6, 7, 0, 1, 3, 2, 0, 2, 3, 0, 3, 1, 5, 1, 5, 2,
    6, 7, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 3, 4,
    6, 7, 1, 0, 4, 1, 2, 4, 3, 2, 5, 1, 2, 5, 1, 2,
    6, 7, 0, 4, 2, 0, 1, 2, 3, 1, 5, 3, 3, 0, 2, 3,
    6, 7, 1, 4, 2, 4, 2, 3, 2, 1, 3, 1, 4, 5, 0, 4,
    6, 7, 1, 0, 4, 1, 2, 4, 3, 2, 5, 1, 2, 5, 4, 5,
    6, 7, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 4,
    6, 7, 0, 5, 4, 0, 5, 4, 0, 2, 3, 0, 3, 2, 0, 1,
    6, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 5, 4, 1,
    6, 7, 0, 1, 4, 0, 1, 4, 0, 2, 3, 0, 3, 2, 3, 5,
    6, 7, 1, 4, 2, 4, 4, 0, 0, 5, 3, 1, 2, 3, 3, 4,
    6, 7, 2, 0, 3, 2, 4, 3, 5, 4, 2, 5, 1, 2, 4, 1,
    6, 7, 1, 5, 0, 1, 4, 0, 3, 4, 2, 3, 1, 2, 0, 3,
    6, 7, 1, 4, 2, 4, 4, 0, 0, 5, 3, 1, 2, 3, 2, 1,
    6, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 0, 2, 5, 1,
    6, 7, 2, 0, 4, 1, 1, 2, 5, 4, 2, 5, 3, 1, 5, 3,
    6, 7, 5, 0, 3, 5, 2, 3, 0, 2, 1, 3, 4, 1, 3, 4,
    6, 7, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 2, 3,
    6, 7, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3,
    6, 7, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3,
    6, 7, 1, 2, 0, 1, 2, 0, 3, 0, 4, 3, 5, 4, 3, 5,
    6, 8, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1,
    6, 8, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3,
    6, 8, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 0, 0, 4,
    6, 8, 1, 2, 3, 1, 0, 3, 1, 0, 2, 0, 3, 2, 5, 3, 4, 0,
    6, 8, 0, 1, 2, 4, 0, 2, 5, 2, 3, 1, 3, 2, 2, 1, 4, 1,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 1, 5,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4,
    6, 8, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 2, 1, 5, 1,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 0,
    6, 8, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 3, 0, 5, 1,
    6, 8, 2, 0, 3, 2, 4, 3, 5, 4, 2, 5, 1, 2, 4, 1, 5, 3,
    6, 8, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 0, 5, 5, 4,
    6, 8, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 5, 1, 5, 3,
    6, 8, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 3, 4,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 2, 0, 2,
    6, 8, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2,
    6, 8, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 1, 4, 0, 1,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0,
    6, 8, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 2, 1,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 5, 5, 3, 1, 5,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 1,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 5, 5, 2, 5, 0,
    6, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 1, 5, 2,
    6, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3,
    6, 9, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 2,
    6, 9, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 0, 4,
    6, 9, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 4, 5,
    6, 9, 2, 0, 4, 1, 1, 2, 5, 4, 2, 5, 3, 1, 5, 3, 3, 2, 4, 3,
    6, 9, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 5,
    6, 9, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5,
    6, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 3, 0,
    6, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 0, 4, 1, 0, 4, 1,
    6, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 1, 0, 5, 1,
    6, 9, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 4, 4, 0, 5, 0,
    6, 9, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5,
    6, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0,
    6, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4,
    6, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1,
    6, 9, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 2, 0,
    6, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3,
    6, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 5, 1,
    6, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 4, 2, 5, 2,
    6, 9, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 5, 2,
    6, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 5, 2, 4, 1,
    6, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 2,
    6, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 4, 5,
    6, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 5,
    6, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5, 1, 0,
    6, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 3, 5, 1, 5,
    6, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0, 2, 4,
    6, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 2,
    6, 10, 1, 0, 4, 1, 0, 4, 5, 0, 4, 5, 3, 4, 1, 3, 5, 1, 2, 3, 1, 2,
    6, 10, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 5, 2,
    6, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 4, 1,
    6, 10, 0, 1, 2, 4, 0, 2, 4, 5, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3,
    6, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4,
    6, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 0, 2, 1, 3, 5, 1,
    6, 10, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 3, 2, 0, 3,
    6, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 5, 3, 2, 5, 1, 0,
    6, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 2, 1, 5,
    6, 11, 0, 1, 2, 4, 0, 2, 2, 1, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3,
    6, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0, 4, 5,
    6, 11, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 0, 2,
    6, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 5, 3, 2, 5, 1, 0, 5, 1,
    6, 11, 1, 3, 4, 1, 3, 4, 2, 3, 0, 2, 4, 0, 5, 4, 2, 5, 4, 2, 0, 5, 1, 5,
    6, 11, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1,
    6, 11, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2,
    6, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 0, 3,
    6, 12, 0, 1, 1, 2, 0, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 4, 3,
    6, 12, 3, 2, 1, 3, 2, 1, 0, 2, 5, 0, 2, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1, 0, 4,
    6, 12, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2, 4, 5,
    6, 12, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1, 2, 3,
    6, 12, 0, 1, 1, 2, 0, 2, 3, 2, 3, 1, 4, 0, 2, 4, 5, 1, 0, 5, 4, 5, 3, 4, 5, 3,
    6, 13, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1, 2, 3, 0, 4,
    6, 13, 0, 1, 1, 2, 0, 2, 3, 2, 3, 1, 4, 0, 2, 4, 5, 1, 0, 5, 4, 5, 3, 4, 5, 3, 3, 0,
    6, 14, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 1, 3, 2, 0, 4, 0, 5, 3,
    6, 15, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 1, 2, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 4, 5,
    7, 0,
    7, 1, 6, 5,
    7, 2, 2, 3, 1, 2,
    7, 2, 5, 4, 6, 0,
    7, 3, 0, 4, 4, 2, 2, 0,
    7, 3, 0, 1, 0, 6, 0, 5,
    7, 3, 5, 4, 6, 0, 5, 6,
    7, 3, 3, 2, 1, 2, 5, 6,
    7, 3, 3, 1, 5, 6, 0, 4,
    7, 4, 2, 5, 6, 2, 5, 6, 1, 2,
    7, 4, 1, 2, 4, 1, 5, 4, 2, 5,
    7, 4, 1, 0, 5, 1, 1, 2, 4, 1,
    7, 4, 1, 0, 2, 1, 5, 2, 6, 2,
    7, 4, 3, 4, 2, 3, 1, 2, 0, 1,
    7, 4, 4, 2, 0, 4, 2, 0, 5, 6,
    7, 4, 0, 1, 6, 0, 0, 5, 4, 2,
    7, 4, 3, 1, 5, 4, 6, 5, 0, 6,
    7, 4, 0, 4, 3, 0, 2, 5, 6, 2,
    7, 4, 2, 3, 1, 2, 6, 0, 5, 4,
    7, 5, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0,
    7, 5, 2, 5, 6, 2, 5, 6, 4, 2, 3, 2,
    7, 5, 4, 2, 4, 0, 2, 0, 5, 4, 6, 0,
    7, 5, 2, 5, 6, 2, 5, 6, 1, 2, 0, 1,
    7, 5, 4, 1, 0, 4, 3, 0, 1, 3, 2, 1,
    7, 5, 1, 2, 0, 1, 4, 0, 3, 4, 2, 3,
    7, 5, 5, 1, 5, 0, 2, 5, 3, 5, 4, 5,
    7, 5, 1, 5, 6, 1, 1, 0, 2, 1, 3, 2,
    7, 5, 1, 5, 4, 1, 2, 3, 6, 2, 2, 1,
    7, 5, 1, 5, 6, 1, 1, 2, 2, 3, 4, 3,
    7, 5, 2, 1, 3, 2, 4, 3, 5, 4, 3, 6,
    7, 5, 6, 5, 2, 6, 1, 2, 5, 2, 3, 4,
    7, 5, 4, 3, 5, 4, 6, 5, 0, 6, 1, 0,
    7, 5, 0, 4, 3, 0, 2, 5, 6, 2, 5, 6,
    7, 5, 4, 1, 5, 2, 6, 5, 3, 6, 2, 3,
    7, 5, 1, 4, 3, 1, 1, 0, 2, 1, 6, 5,
    7, 5, 0, 4, 3, 0, 1, 0, 2, 1, 6, 5,
    7, 5, 0, 4, 3, 0, 2, 1, 5, 2, 6, 2,
    7, 5, 6, 5, 3, 4, 2, 3, 1, 2, 0, 1,
    7, 5, 2, 3, 1, 2, 6, 0, 5, 6, 5, 4,
    7, 5, 0, 1, 4, 6, 5, 4, 3, 2, 6, 5,
    7, 6, 1, 5, 6, 1, 5, 6, 2, 5, 1, 2, 6, 2,
    7, 6, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 2, 1,
    7, 6, 0, 4, 3, 0, 1, 3, 2, 1, 1, 4, 3, 4,
    7, 6, 5, 2, 4, 5, 2, 4, 3, 2, 6, 3, 2, 6,
    7, 6, 1, 2, 4, 1, 5, 4, 2, 5, 0, 1, 4, 0,
    7, 6, 1, 2, 5, 1, 4, 5, 2, 4, 0, 2, 5, 0,
    7, 6, 2, 5, 6, 2, 5, 6, 2, 4, 1, 2, 3, 2,
    7, 6, 1, 4, 3, 1, 2, 3, 1, 2, 2, 5, 6, 2,
    7, 6, 5, 4, 6, 5, 1, 6, 5, 1, 3, 6, 0, 1,
    7, 6, 6, 5, 1, 6, 5, 1, 3, 1, 0, 3, 1, 4,
    7, 6, 0, 4, 3, 0, 2, 3, 4, 2, 2, 5, 6, 2,
    7, 6, 1, 4, 3, 1, 2, 3, 1, 2, 2, 5, 6, 5,
    7, 6, 2, 3, 1, 2, 3, 6, 5, 4, 6, 5, 5, 2,
    7, 6, 2, 5, 6, 2, 5, 6, 1, 4, 3, 1, 2, 1,
    7, 6, 4, 5, 0, 4, 3, 0, 2, 3, 4, 2, 6, 3,
    7, 6, 0, 4, 3, 0, 1, 3, 6, 5, 1, 4, 1, 0,
    7, 6, 1, 4, 3, 1, 2, 3, 5, 2, 6, 5, 2, 6,
    7, 6, 6, 3, 5, 6, 4, 5, 1, 4, 2, 1, 5, 2,
    7, 6, 1, 0, 3, 1, 6, 3, 5, 6, 4, 5, 1, 4,
    7, 6, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5,
    7, 6, 0, 4, 3, 0, 4, 3, 2, 5, 6, 2, 5, 6,
    7, 6, 6, 3, 0, 6, 6, 2, 5, 6, 6, 1, 4, 6,
    7, 6, 2, 4, 5, 2, 2, 3, 6, 2, 1, 2, 1, 0,
    7, 6, 1, 0, 2, 1, 5, 2, 1, 4, 3, 1, 6, 2,
    7, 6, 1, 0, 2, 1, 3, 6, 1, 3, 4, 1, 5, 4,
    7, 6, 1, 0, 2, 1, 5, 2, 6, 5, 1, 4, 3, 1,
    7, 6, 1, 0, 2, 4, 5, 2, 6, 5, 2, 6, 3, 2,
    7, 6, 4, 0, 1, 4, 3, 1, 2, 1, 5, 2, 6, 2,
    7, 6, 6, 5, 1, 2, 0, 1, 2, 0, 3, 2, 0, 4,
    7, 6, 0, 4, 3, 0, 1, 0, 2, 1, 5, 2, 6, 2,
    7, 6, 1, 0, 3, 1, 6, 3, 2, 6, 4, 1, 5, 4,
    7, 6, 2, 5, 6, 2, 4, 2, 1, 4, 3, 1, 0, 3,
    7, 6, 0, 4, 3, 0, 2, 3, 4, 2, 1, 2, 6, 5,
    7, 6, 0, 4, 3, 0, 2, 1, 5, 2, 6, 5, 2, 6,
    7, 6, 3, 4, 1, 0, 2, 1, 5, 2, 6, 5, 2, 6,
    7, 6, 4, 5, 0, 4, 3, 0, 6, 3, 1, 0, 2, 1,
    7, 6, 2, 5, 6, 2, 5, 6, 1, 4, 3, 1, 1, 0,
    7, 6, 4, 5, 3, 4, 2, 3, 1, 2, 0, 1, 6, 0,
    7, 6, 6, 4, 5, 6, 4, 5, 2, 3, 1, 2, 0, 1,
    7, 6, 0, 1, 4, 0, 2, 3, 5, 2, 6, 5, 3, 6,
    7, 6, 1, 2, 0, 1, 4, 0, 3, 4, 2, 3, 6, 5,
    7, 7, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 2, 1, 3, 4,
    7, 7, 1, 2, 5, 1, 4, 5, 2, 4, 0, 2, 5, 0, 5, 2,
    7, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1,
    7, 7, 1, 2, 5, 1, 4, 5, 2, 4, 0, 2, 5, 0, 1, 0,
    7, 7, 0, 4, 3, 0, 2, 3, 4, 2, 2, 5, 6, 2, 2, 0,
    7, 7, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 2, 1, 2, 6,
    7, 7, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 3, 4, 6, 3,
    7, 7, 0, 4, 3, 0, 2, 3, 4, 2, 2, 5, 6, 2, 3, 4,
    7, 7, 0, 4, 3, 0, 1, 3, 3, 6, 1, 4, 1, 0, 5, 4,
    7, 7, 0, 4, 3, 0, 1, 3, 6, 5, 1, 4, 1, 0, 3, 4,
    7, 7, 5, 2, 4, 5, 2, 4, 3, 2, 6, 3, 2, 6, 2, 1,
    7, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 0, 2, 2, 5,
    7, 7, 5, 2, 4, 5, 2, 4, 3, 2, 6, 3, 2, 6, 3, 1,
    7, 7, 1, 4, 3, 1, 2, 3, 4, 2, 2, 0, 2, 1, 6, 0,
    7, 7, 1, 2, 5, 1, 4, 5, 2, 4, 0, 2, 5, 0, 3, 5,
    7, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 0, 2, 3, 5,
    7, 7, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 0, 2, 1, 5,
    7, 7, 3, 2, 4, 3, 3, 5, 2, 4, 5, 2, 6, 1, 6, 4,
    7, 7, 1, 2, 5, 1, 4, 5, 2, 4, 0, 2, 5, 0, 0, 3,
    7, 7, 3, 4, 1, 3, 2, 1, 6, 2, 5, 6, 1, 5, 4, 1,
    7, 7, 0, 1, 4, 0, 1, 4, 2, 1, 3, 2, 5, 3, 4, 5,
    7, 7, 6, 3, 5, 6, 1, 5, 2, 1, 3, 2, 4, 2, 5, 4,
    7, 7, 1, 2, 4, 1, 5, 4, 6, 5, 3, 6, 2, 3, 5, 2,
    7, 7, 4, 1, 3, 4, 1, 3, 2, 1, 6, 2, 5, 6, 2, 5,
    7, 7, 3, 0, 6, 3, 0, 6, 1, 0, 0, 2, 5, 0, 0, 4,
    7, 7, 1, 5, 6, 1, 1, 2, 3, 1, 4, 3, 1, 4, 4, 0,
    7, 7, 5, 0, 6, 5, 0, 6, 5, 2, 1, 5, 6, 3, 4, 6,
    7, 7, 4, 1, 0, 4, 1, 0, 2, 1, 0, 3, 6, 0, 4, 5,
    7, 7, 5, 2, 6, 5, 2, 6, 2, 4, 3, 2, 1, 0, 2, 1,
    7, 7, 4, 1, 0, 4, 3, 0, 1, 3, 2, 1, 1, 5, 6, 1,
    7, 7, 1, 0, 4, 1, 0, 4, 5, 4, 2, 1, 3, 2, 6, 1,
    7, 7, 0, 1, 4, 0, 1, 4, 2, 1, 3, 2, 5, 4, 6, 4,
    7, 7, 2, 3, 5, 2, 6, 5, 3, 6, 1, 2, 4, 5, 0, 5,
    7, 7, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 2, 1, 6, 5,
    7, 7, 2, 5, 6, 2, 5, 6, 4, 2, 1, 2, 0, 1, 3, 1,
    7, 7, 2, 5, 6, 2, 4, 2, 1, 4, 3, 1, 2, 3, 0, 1,
    7, 7, 6, 2, 5, 6, 2, 5, 1, 2, 0, 1, 4, 1, 3, 1,
    7, 7, 0, 4, 3, 0, 1, 3, 4, 1, 5, 4, 2, 1, 6, 3,
    7, 7, 2, 5, 6, 2, 5, 6, 4, 5, 3, 6, 1, 2, 0, 1,
    7, 7, 2, 5, 6, 2, 1, 4, 1, 2, 0, 1, 4, 0, 0, 3,
    7, 7, 6, 5, 1, 2, 4, 1, 0, 4, 3, 0, 1, 3, 3, 4,
    7, 7, 4, 1, 0, 4, 1, 0, 3, 6, 2, 3, 0, 2, 5, 0,
    7, 7, 4, 1, 0, 4, 3, 0, 1, 3, 2, 1, 5, 2, 6, 1,
    7, 7, 4, 1, 0, 4, 1, 0, 2, 3, 0, 2, 5, 0, 6, 5,
    7, 7, 0, 1, 5, 0, 6, 5, 3, 6, 2, 3, 0, 2, 4, 0,
    7, 7, 1, 0, 4, 1, 2, 4, 3, 2, 4, 3, 0, 4, 6, 5,
    7, 7, 3, 6, 2, 3, 1, 2, 0, 1, 4, 0, 1, 4, 5, 4,
    7, 7, 1, 0, 5, 1, 6, 5, 2, 6, 1, 2, 3, 2, 4, 3,
    7, 7, 2, 3, 1, 2, 0, 1, 4, 0, 5, 4, 6, 5, 4, 1,
    7, 7, 5, 2, 6, 5, 2, 6, 1, 2, 4, 1, 0, 4, 3, 1,
    7, 7, 2, 3, 1, 2, 0, 1, 4, 0, 5, 4, 6, 5, 5, 2,
    7, 7, 1, 4, 0, 1, 2, 0, 3, 2, 5, 3, 0, 5, 6, 3,
    7, 7, 2, 1, 3, 2, 6, 3, 5, 6, 0, 5, 2, 0, 5, 4,
    7, 7, 5, 2, 6, 5, 2, 6, 1, 2, 0, 1, 4, 0, 3, 0,
    7, 7, 4, 1, 0, 4, 3, 0, 1, 3, 2, 1, 5, 2, 6, 2,
    7, 7, 1, 0, 2, 1, 5, 2, 4, 5, 0, 4, 4, 1, 6, 3,
    7, 7, 2, 5, 6, 2, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0,
    7, 7, 6, 5, 0, 4, 3, 0, 1, 3, 4, 1, 2, 4, 3, 2,
    7, 7, 2, 1, 5, 2, 4, 5, 0, 4, 3, 0, 6, 3, 2, 6,
    7, 7, 4, 0, 3, 4, 1, 3, 2, 1, 5, 2, 6, 5, 2, 6,
    7, 7, 6, 5, 2, 6, 1, 2, 4, 1, 0, 4, 3, 0, 1, 3,
    7, 7, 4, 1, 0, 4, 2, 0, 3, 2, 6, 3, 5, 6, 0, 5,
    7, 7, 0, 4, 3, 0, 4, 3, 2, 1, 5, 2, 6, 5, 2, 6,
    7, 7, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 0, 6,
    7, 7, 1, 0, 4, 1, 0, 4, 5, 2, 6, 5, 3, 6, 2, 3,
    7, 8, 0, 1, 4, 0, 5, 4, 2, 5, 1, 2, 5, 1, 4, 1, 2, 4,
    7, 8, 4, 1, 5, 4, 2, 5, 1, 2, 0, 1, 5, 0, 0, 4, 2, 0,
    7, 8, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 3, 4, 5, 1, 6, 1,
    7, 8, 4, 1, 5, 4, 2, 5, 1, 2, 5, 1, 6, 5, 2, 4, 3, 2,
    7, 8, 1, 3, 0, 1, 4, 0, 2, 4, 1, 2, 4, 1, 5, 4, 1, 5,
    7, 8, 2, 0, 3, 2, 6, 3, 5, 6, 0, 5, 3, 0, 0, 6, 4, 0,
    7, 8, 1, 0, 2, 1, 5, 2, 4, 5, 0, 4, 2, 0, 5, 0, 6, 5,
    7, 8, 1, 0, 2, 1, 3, 2, 1, 3, 4, 3, 2, 4, 5, 2, 3, 5,
    7, 8, 2, 0, 3, 2, 6, 3, 5, 6, 0, 5, 3, 0, 6, 0, 4, 5,
    7, 8, 1, 0, 2, 1, 4, 3, 1, 5, 4, 1, 2, 4, 5, 2, 3, 5,
    7, 8, 3, 5, 2, 1, 4, 3, 1, 5, 4, 1, 2, 4, 5, 2, 4, 6,
    7, 8, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 3, 4, 2, 1, 5, 2,
    7, 8, 3, 5, 2, 1, 4, 3, 1, 5, 4, 1, 2, 4, 5, 2, 0, 3,
    7, 8, 4, 0, 2, 4, 0, 2, 3, 0, 2, 3, 5, 2, 6, 5, 2, 6,
    7, 8, 3, 2, 6, 3, 5, 6, 2, 5, 0, 2, 5, 0, 4, 5, 2, 4,
    7, 8, 0, 5, 4, 0, 2, 4, 5, 2, 1, 5, 4, 1, 3, 4, 5, 3,
    7, 8, 2, 3, 1, 2, 4, 1, 5, 4, 1, 5, 5, 2, 6, 5, 3, 6,
    7, 8, 5, 2, 4, 5, 0, 4, 3, 0, 6, 3, 2, 6, 4, 2, 3, 2,
    7, 8, 0, 4, 3, 0, 1, 3, 4, 1, 2, 4, 3, 2, 5, 4, 2, 5,
    7, 8, 5, 6, 2, 5, 6, 2, 3, 2, 4, 3, 0, 4, 3, 0, 2, 4,
    7, 8, 1, 0, 5, 0, 3, 2, 1, 3, 5, 2, 6, 1, 6, 2, 6, 5,
    7, 8, 5, 4, 6, 5, 3, 6, 0, 3, 4, 0, 2, 4, 3, 2, 0, 2,
    7, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 2, 1, 5,
    7, 8, 5, 0, 6, 2, 0, 6, 1, 0, 2, 1, 5, 2, 4, 5, 4, 6,
    7, 8, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 2, 1, 1, 5, 6, 1,
    7, 8, 0, 2, 4, 0, 1, 4, 0, 1, 3, 0, 1, 3, 5, 1, 6, 1,
    7, 8, 4, 2, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 1, 5, 6, 1,
    7, 8, 0, 4, 3, 0, 4, 3, 1, 4, 3, 1, 1, 5, 2, 1, 6, 1,
    7, 8, 2, 1, 0, 2, 3, 0, 5, 3, 2, 5, 3, 2, 4, 3, 6, 5,
    7, 8, 4, 2, 0, 4, 3, 0, 1, 3, 4, 1, 3, 4, 1, 5, 6, 1,
    7, 8, 2, 1, 0, 2, 3, 0, 5, 3, 2, 5, 6, 5, 4, 3, 5, 0,
    7, 8, 1, 0, 2, 1, 3, 2, 1, 3, 4, 2, 3, 4, 4, 5, 6, 4,
    7, 8, 6, 5, 1, 2, 4, 1, 0, 4, 3, 0, 1, 3, 0, 1, 3, 4,
    7, 8, 0, 1, 6, 5, 2, 3, 6, 4, 6, 3, 6, 2, 6, 0, 6, 1,
    7, 8, 6, 4, 1, 2, 2, 3, 6, 5, 4, 5, 6, 2, 6, 0, 6, 1,
    7, 8, 0, 1, 1, 2, 2, 3, 6, 5, 6, 4, 6, 3, 6, 0, 6, 2,
    7, 8, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 6, 1, 5, 1, 2, 5,
    7, 8, 3, 0, 2, 3, 4, 2, 0, 4, 1, 0, 2, 1, 5, 2, 6, 2,
    7, 8, 2, 1, 3, 2, 6, 3, 5, 6, 0, 5, 2, 0, 5, 2, 4, 5,
    7, 8, 1, 0, 2, 1, 3, 2, 4, 3, 5, 2, 1, 5, 6, 1, 2, 6,
    7, 8, 2, 5, 4, 2, 1, 4, 3, 1, 0, 3, 1, 0, 2, 1, 6, 2,
    7, 8, 4, 5, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 6, 3,
    7, 8, 0, 1, 4, 0, 1, 4, 2, 1, 4, 2, 5, 4, 1, 5, 6, 3,
    7, 8, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 1, 6, 5, 0,
    7, 8, 4, 5, 0, 4, 1, 0, 4, 1, 3, 0, 1, 3, 6, 1, 2, 6,
    7, 8, 2, 5, 4, 2, 0, 4, 1, 0, 4, 1, 3, 0, 1, 3, 6, 1,
    7, 8, 1, 6, 2, 1, 0, 2, 1, 0, 4, 1, 3, 4, 2, 3, 4, 5,
    7, 8, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 1, 6, 5, 3,
    7, 8, 0, 4, 3, 0, 4, 3, 1, 4, 3, 1, 5, 1, 6, 2, 1, 6,
    7, 8, 2, 3, 1, 2, 0, 1, 5, 0, 4, 5, 0, 4, 2, 0, 6, 5,
    7, 8, 4, 5, 0, 4, 3, 0, 1, 3, 4, 1, 2, 4, 3, 2, 6, 2,
    7, 8, 2, 3, 1, 2, 0, 1, 4, 0, 5, 4, 4, 1, 2, 6, 5, 2,
    7, 8, 0, 1, 1, 2, 2, 3, 6, 3, 4, 5, 6, 2, 6, 0, 6, 1,
    7, 8, 4, 1, 0, 4, 3, 0, 1, 3, 0, 1, 2, 1, 5, 2, 6, 2,
    7, 8, 0, 1, 1, 2, 2, 3, 6, 5, 4, 5, 6, 2, 6, 4, 6, 1,
    7, 8, 0, 1, 4, 0, 0, 2, 5, 0, 6, 5, 3, 6, 2, 3, 5, 2,
    7, 8, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 2, 5, 6, 2,
    7, 8, 4, 5, 3, 4, 1, 3, 2, 1, 6, 2, 4, 6, 3, 2, 0, 1,
    7, 8, 1, 0, 2, 6, 3, 2, 4, 3, 5, 2, 1, 5, 6, 1, 6, 5,
    7, 8, 2, 3, 1, 2, 0, 1, 4, 0, 5, 4, 6, 5, 5, 2, 4, 1,
    7, 8, 4, 1, 0, 4, 3, 0, 1, 3, 3, 4, 2, 1, 2, 5, 6, 2,
    7, 8, 0, 6, 4, 0, 1, 4, 3, 1, 0, 3, 2, 4, 3, 2, 5, 2,
    7, 8, 0, 4, 3, 0, 1, 3, 4, 1, 2, 4, 3, 2, 1, 0, 6, 5,
    7, 8, 0, 1, 4, 0, 3, 2, 6, 3, 5, 6, 2, 5, 6, 2, 3, 5,
    7, 8, 5, 2, 6, 5, 2, 6, 4, 2, 0, 4, 3, 0, 2, 3, 1, 2,
    7, 8, 2, 0, 1, 2, 0, 1, 5, 0, 4, 5, 0, 4, 6, 0, 3, 6,
    7, 8, 0, 1, 2, 0, 3, 2, 2, 1, 1, 4, 5, 4, 5, 3, 1, 6,
    7, 8, 1, 6, 2, 1, 0, 2, 1, 0, 4, 1, 3, 4, 2, 3, 5, 6,
    7, 8, 6, 1, 0, 6, 1, 0, 5, 1, 0, 5, 2, 1, 3, 2, 4, 3,
    7, 8, 6, 5, 2, 6, 1, 2, 4, 1, 3, 4, 0, 3, 4, 0, 2, 4,
    7, 8, 1, 6, 0, 1, 5, 0, 1, 5, 3, 0, 4, 3, 2, 4, 0, 2,
    7, 8, 2, 6, 4, 2, 0, 4, 1, 0, 4, 1, 3, 4, 5, 3, 2, 5,
    7, 8, 1, 0, 2, 1, 6, 2, 5, 6, 1, 5, 4, 1, 3, 4, 2, 3,
    7, 8, 6, 1, 4, 3, 1, 0, 5, 1, 3, 2, 2, 1, 4, 6, 5, 4,
    7, 8, 4, 2, 0, 4, 1, 0, 4, 1, 3, 4, 6, 3, 5, 6, 3, 5,
    7, 8, 4, 1, 2, 4, 0, 2, 6, 0, 3, 6, 0, 3, 5, 0, 4, 5,
    7, 8, 5, 6, 4, 5, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1,
    7, 8, 6, 3, 5, 6, 4, 5, 0, 4, 1, 0, 2, 1, 5, 2, 4, 1,
    7, 8, 0, 1, 2, 0, 3, 2, 2, 1, 1, 4, 5, 4, 5, 3, 4, 6,
    7, 8, 4, 0, 3, 4, 2, 3, 6, 2, 5, 6, 1, 5, 4, 1, 2, 1,
    7, 8, 6, 1, 0, 6, 4, 3, 5, 1, 0, 5, 2, 1, 3, 2, 5, 6,
    7, 8, 6, 2, 5, 6, 3, 5, 6, 3, 4, 3, 0, 4, 1, 0, 4, 1,
    7, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 6, 5, 1,
    7, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 6, 4, 2,
    7, 8, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 5, 6, 0, 5,
    7, 8, 4, 0, 2, 4, 3, 2, 6, 3, 5, 6, 4, 5, 1, 2, 5, 1,
    7, 8, 5, 1, 2, 4, 3, 2, 0, 3, 5, 0, 4, 5, 1, 2, 0, 6,
    7, 8, 5, 6, 2, 5, 4, 2, 0, 4, 3, 0, 2, 3, 1, 4, 3, 1,
    7, 8, 0, 4, 1, 0, 4, 1, 3, 4, 5, 3, 6, 5, 2, 6, 4, 2,
    7, 8, 0, 1, 6, 5, 2, 3, 3, 4, 6, 4, 0, 5, 6, 2, 6, 1,
    7, 8, 1, 2, 0, 1, 4, 0, 5, 4, 2, 5, 3, 2, 6, 3, 5, 6,
    7, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 6, 1, 6,
    7, 8, 6, 2, 5, 6, 2, 5, 1, 2, 4, 1, 0, 4, 3, 0, 1, 3,
    7, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 5, 6, 1,
    7, 8, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 3,
    7, 8, 0, 4, 1, 0, 3, 2, 1, 4, 2, 5, 5, 3, 6, 4, 6, 3,
    7, 8, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 6, 2, 5, 6, 2, 5,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3,
    7, 9, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 2,
    7, 9, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 0, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 4, 5,
    7, 9, 2, 0, 4, 1, 1, 2, 5, 4, 2, 5, 3, 1, 5, 3, 3, 2, 4, 3,
    7, 9, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 5,
    7, 9, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 3, 0,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 0, 4, 1, 0, 4, 1,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 1, 0, 5, 1,
    7, 9, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 4, 4, 0, 5, 0,
    7, 9, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1,
    7, 9, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 2, 0,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 5, 1,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 4, 2, 5, 2,
    7, 9, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 5, 2,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 5, 2, 4, 1,
    7, 9, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 0, 0, 4, 0, 6,
    7, 9, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 0, 0, 4, 2, 6,
    7, 9, 1, 2, 3, 1, 0, 3, 1, 0, 2, 0, 3, 2, 5, 3, 4, 0, 1, 6,
    7, 9, 0, 1, 2, 4, 0, 2, 3, 1, 3, 2, 2, 1, 4, 1, 5, 2, 2, 6,
    7, 9, 0, 1, 2, 4, 0, 2, 5, 2, 3, 1, 3, 2, 2, 1, 4, 1, 1, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 1, 5, 1, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 1, 5, 4, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 2, 1, 5, 1, 1, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 3, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 2, 1, 5, 1, 0, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 0, 1, 6,
    7, 9, 2, 0, 3, 2, 4, 3, 5, 4, 2, 5, 1, 2, 4, 1, 5, 3, 2, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 3, 0, 5, 1, 0, 6,
    7, 9, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 0, 0, 4, 5, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 0, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 2, 6,
    7, 9, 2, 0, 3, 2, 4, 3, 5, 4, 2, 5, 1, 2, 4, 1, 5, 3, 5, 6,
    7, 9, 1, 2, 3, 1, 0, 3, 1, 0, 2, 0, 3, 2, 4, 0, 6, 5, 6, 3,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 0, 0, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 6, 5, 4, 0, 3, 2, 4,
    7, 9, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 2, 1, 5, 1, 5, 6,
    7, 9, 2, 0, 3, 2, 4, 3, 5, 4, 2, 5, 1, 2, 4, 1, 5, 3, 4, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 0, 2, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 3, 0, 5, 1, 5, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 5, 4, 3, 1, 3, 2, 3, 0, 5, 1, 2, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 4, 0, 3, 1, 3, 2, 5, 1, 5, 3, 0, 6,
    7, 9, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 0, 5, 5, 4, 5, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 6,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 3, 4, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 2, 0, 2, 0, 6,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 3, 4, 3, 6,
    7, 9, 0, 1, 2, 4, 0, 2, 5, 2, 3, 1, 3, 2, 2, 1, 4, 1, 5, 6,
    7, 9, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 2, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 6, 5, 6, 1,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 3, 4, 2, 6,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 3, 4, 0, 6,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 3, 6, 1, 6, 0, 1, 1, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 0, 6,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 2, 1, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 5, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 5, 6,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 3, 6, 1, 6, 0, 1, 0, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 2, 0, 2, 1, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 2, 0, 2, 4, 6,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 2, 1, 2, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 3, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 2, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 5, 1, 3, 1, 3, 2, 2, 1, 6, 0, 6, 4,
    7, 9, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 1, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 0, 5, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 0, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 3, 6,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 3, 6, 1, 6, 0, 1, 2, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 5, 5, 3, 1, 5, 3, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 1, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 1, 4, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 5, 1, 3, 1, 3, 2, 3, 0, 6, 4, 6, 0,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 5, 5, 2, 5, 0, 1, 6,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 2, 1, 6, 0,
    7, 9, 5, 3, 3, 2, 4, 3, 5, 4, 2, 5, 1, 2, 4, 1, 6, 0, 6, 2,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 5, 5, 2, 5, 0, 0, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 5, 5, 3, 1, 5, 5, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 4, 6,
    7, 9, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 3, 6, 1, 6, 0, 1, 5, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 1, 5, 2, 5, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 5, 5, 3, 1, 5, 1, 6,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 2, 1, 3, 6,
    7, 9, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 0, 5, 5, 4, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 5, 5, 3, 1, 5, 0, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 5, 5, 2, 5, 0, 4, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 1, 0, 6,
    7, 9, 0, 1, 2, 5, 0, 2, 5, 3, 3, 1, 3, 2, 5, 1, 6, 4, 6, 0,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 1, 5, 2, 0, 6,
    7, 9, 6, 3, 1, 2, 6, 5, 3, 4, 6, 4, 0, 5, 6, 0, 6, 1, 6, 2,
    7, 9, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 6, 2, 5, 6, 2, 5,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 3, 4, 6, 5, 6, 0,
    7, 9, 1, 4, 2, 4, 2, 3, 0, 4, 3, 1, 4, 5, 0, 5, 6, 4, 6, 3,
    7, 9, 4, 1, 5, 4, 6, 5, 3, 6, 2, 3, 1, 2, 5, 2, 0, 5, 2, 0,
    7, 9, 4, 1, 3, 1, 2, 3, 4, 0, 5, 0, 5, 2, 5, 4, 6, 4, 5, 6,
    7, 9, 1, 0, 2, 1, 6, 2, 3, 6, 5, 3, 4, 5, 3, 4, 2, 3, 0, 2,
    7, 9, 0, 2, 5, 0, 1, 5, 2, 1, 4, 2, 5, 4, 6, 5, 3, 6, 2, 3,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 0, 6, 1, 3, 4, 1,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 4, 5, 1, 6, 1, 0, 6,
    7, 9, 0, 4, 1, 0, 4, 1, 3, 4, 2, 3, 6, 2, 5, 6, 1, 5, 2, 1,
    7, 9, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 5, 3, 6, 5, 3, 6,
    7, 9, 6, 5, 3, 6, 2, 3, 0, 4, 0, 5, 1, 0, 2, 0, 1, 2, 5, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 3, 5, 1, 6, 1, 0, 6,
    7, 9, 5, 2, 6, 5, 3, 6, 2, 3, 0, 2, 4, 0, 5, 4, 1, 5, 0, 1,
    7, 9, 2, 4, 1, 2, 4, 1, 5, 4, 0, 5, 1, 0, 6, 4, 3, 6, 2, 3,
    7, 9, 6, 2, 5, 6, 2, 5, 1, 2, 0, 1, 4, 0, 1, 4, 3, 1, 0, 3,
    7, 9, 0, 5, 6, 0, 1, 6, 4, 1, 2, 4, 3, 2, 1, 3, 5, 1, 6, 5,
    7, 9, 6, 5, 3, 6, 2, 3, 5, 2, 0, 5, 1, 0, 4, 1, 0, 4, 2, 0,
    7, 9, 0, 4, 3, 0, 1, 3, 4, 1, 2, 4, 6, 2, 5, 6, 2, 5, 3, 2,
    7, 9, 1, 0, 4, 1, 5, 4, 0, 5, 6, 0, 3, 6, 2, 3, 0, 2, 3, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 3,
    7, 9, 0, 1, 1, 2, 2, 3, 0, 3, 4, 1, 5, 4, 5, 3, 6, 0, 6, 4,
    7, 9, 0, 1, 4, 0, 1, 4, 2, 1, 5, 2, 4, 5, 6, 5, 3, 6, 2, 3,
    7, 9, 1, 0, 6, 3, 0, 4, 5, 0, 3, 5, 5, 6, 1, 2, 1, 4, 6, 2,
    7, 9, 6, 2, 5, 6, 2, 5, 1, 2, 0, 3, 4, 0, 1, 4, 3, 1, 3, 4,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 1, 5, 6, 6, 0,
    7, 9, 0, 4, 1, 0, 2, 1, 3, 2, 0, 3, 2, 4, 5, 4, 6, 5, 3, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 2, 6, 1, 5, 6,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 3, 5, 4, 6, 1, 6, 5,
    7, 9, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 4, 6, 2,
    7, 9, 0, 4, 3, 0, 4, 3, 6, 1, 5, 6, 1, 5, 2, 1, 5, 2, 6, 2,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 2,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 4,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5, 1, 0,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 3, 5, 1, 5,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0, 2, 4,
    7, 10, 1, 0, 4, 1, 0, 4, 5, 0, 4, 5, 3, 4, 1, 3, 5, 1, 2, 3, 1, 2,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 2,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 4, 1,
    7, 10, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 5, 2,
    7, 10, 0, 1, 2, 4, 0, 2, 4, 5, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 0, 2, 1, 3, 5, 1,
    7, 10, 0, 1, 1, 2, 3, 4, 0, 2, 3, 0, 2, 4, 5, 2, 1, 5, 4, 1, 3, 5,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 5, 3, 2, 5, 1, 0,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 2, 2, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 2, 1, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 0, 4, 1, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 0, 4, 0, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 0, 4, 3, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 4, 5, 4, 6,
    7, 10, 2, 0, 4, 1, 1, 2, 5, 4, 2, 5, 3, 1, 5, 3, 3, 2, 4, 3, 3, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 5, 2, 6,
    7, 10, 2, 0, 4, 1, 1, 2, 5, 4, 2, 5, 3, 1, 5, 3, 3, 2, 4, 3, 2, 6,
    7, 10, 2, 3, 1, 2, 4, 1, 5, 4, 2, 5, 0, 2, 4, 0, 0, 1, 5, 0, 6, 5,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 0, 4, 5, 6,
    7, 10, 2, 0, 4, 1, 1, 2, 5, 4, 2, 5, 3, 1, 5, 3, 3, 2, 4, 3, 4, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 4, 5, 6, 5,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 6,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5, 6, 5,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 3, 0, 0, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 3, 0, 2, 6,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5, 1, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 3, 0, 3, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 0, 4, 1, 0, 4, 1, 0, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 1, 0, 5, 1, 1, 6,
    7, 10, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 4, 4, 0, 5, 0, 0, 6,
    7, 10, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 3, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 3, 0, 5, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0, 3, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 1, 0, 5, 1, 0, 6,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 2, 0, 5, 3, 2, 3, 6, 2,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 6, 4, 6, 2,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 2, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 1, 0, 5, 1, 5, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 3, 0, 4, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 3, 6,
    7, 10, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 4, 4, 0, 5, 0, 2, 6,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 2, 0, 5, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0, 2, 6,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 2, 0, 5, 3, 2, 3, 0, 6,
    7, 10, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 1, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 4, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 6, 4, 6, 0,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 5, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 0, 4, 1, 0, 4, 1, 5, 6,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 2, 0, 0, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 1, 0, 5, 1, 2, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 4, 2, 5, 2, 2, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3, 5, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 5, 1, 0, 6,
    7, 10, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 5, 4, 4, 0, 5, 0, 5, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 6, 5, 6, 4,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0, 1, 6,
    7, 10, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 4, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3, 4, 6,
    7, 10, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 2, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3, 0, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 4, 2, 5, 2, 5, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 5, 1, 1, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 3, 6,
    7, 10, 4, 3, 4, 1, 1, 2, 5, 4, 2, 5, 3, 1, 5, 3, 3, 2, 6, 0, 6, 2,
    7, 10, 1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 1, 5, 6, 1, 4, 6, 2, 6, 5, 2,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 4, 2, 5, 2, 0, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 5, 1, 3, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 5, 1, 2, 6,
    7, 10, 0, 1, 2, 5, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 5, 1, 6, 5, 6, 4,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 1, 6,
    7, 10, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 6,
    7, 10, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 2, 0, 1, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3, 1, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 4, 2, 5, 2, 1, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 5, 2, 5, 0, 5, 1, 4, 6,
    7, 10, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 5, 2, 4, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 5, 2, 4, 1, 0, 6,
    7, 10, 4, 0, 1, 4, 3, 1, 2, 3, 1, 2, 6, 1, 0, 6, 5, 0, 1, 5, 0, 1,
    7, 10, 3, 2, 6, 3, 5, 6, 0, 5, 2, 0, 5, 2, 1, 5, 2, 1, 4, 2, 5, 4,
    7, 10, 2, 0, 1, 2, 3, 1, 0, 3, 6, 0, 1, 6, 5, 1, 0, 5, 4, 0, 1, 4,
    7, 10, 6, 4, 1, 2, 6, 5, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 2, 6, 3,
    7, 10, 0, 1, 6, 5, 2, 3, 3, 4, 6, 4, 0, 5, 6, 0, 6, 1, 6, 2, 6, 3,
    7, 10, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 0, 5, 5, 2, 6, 1, 2, 6,
    7, 10, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 5, 0, 5, 2, 6, 2, 0, 6,
    7, 10, 6, 4, 1, 2, 6, 5, 3, 4, 4, 5, 0, 5, 6, 3, 6, 1, 6, 2, 0, 4,
    7, 10, 1, 0, 2, 1, 0, 2, 3, 2, 4, 3, 2, 4, 5, 2, 4, 5, 6, 4, 1, 6,
    7, 10, 0, 1, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 5, 2, 6,
    7, 10, 0, 2, 5, 0, 4, 5, 2, 4, 1, 2, 5, 1, 6, 5, 3, 6, 2, 3, 2, 6,
    7, 10, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 5, 1, 0, 5, 6, 0, 2, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 2, 6, 4, 0, 2, 4, 0,
    7, 10, 0, 4, 3, 0, 2, 3, 5, 2, 6, 5, 2, 6, 4, 2, 1, 4, 3, 1, 4, 3,
    7, 10, 1, 6, 2, 1, 0, 2, 1, 0, 4, 1, 3, 4, 2, 3, 5, 6, 4, 5, 3, 1,
    7, 10, 6, 5, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 2, 6, 4,
    7, 10, 0, 1, 6, 5, 2, 3, 3, 4, 6, 4, 0, 5, 6, 0, 6, 1, 6, 2, 5, 3,
    7, 10, 0, 1, 1, 2, 2, 3, 5, 4, 0, 4, 5, 0, 5, 3, 5, 2, 6, 5, 6, 1,
    7, 10, 0, 3, 2, 0, 1, 2, 3, 1, 4, 3, 2, 4, 0, 4, 6, 0, 5, 6, 0, 5,
    7, 10, 0, 3, 2, 0, 1, 2, 3, 1, 4, 3, 0, 5, 0, 4, 6, 0, 5, 6, 1, 4,
    7, 10, 0, 1, 6, 5, 2, 3, 3, 4, 6, 4, 0, 5, 6, 0, 6, 1, 6, 2, 4, 2,
    7, 10, 1, 2, 5, 1, 6, 5, 2, 6, 1, 6, 5, 2, 4, 1, 0, 4, 3, 0, 1, 3,
    7, 10, 4, 2, 6, 2, 5, 3, 4, 1, 2, 0, 6, 3, 5, 2, 0, 1, 0, 4, 6, 0,
    7, 10, 4, 2, 3, 6, 5, 3, 5, 1, 2, 0, 6, 0, 5, 2, 1, 4, 0, 4, 5, 4,
    7, 10, 4, 0, 5, 4, 4, 1, 2, 1, 3, 2, 0, 3, 3, 4, 5, 3, 6, 1, 6, 5,
    7, 10, 0, 4, 1, 0, 2, 1, 4, 2, 3, 4, 5, 3, 4, 5, 5, 2, 6, 3, 2, 6,
    7, 10, 1, 6, 2, 1, 0, 2, 1, 0, 4, 1, 3, 4, 2, 3, 5, 6, 4, 5, 4, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 3, 6, 1, 6, 5, 5, 1,
    7, 10, 1, 0, 4, 1, 0, 4, 2, 0, 3, 2, 6, 3, 5, 6, 0, 5, 5, 2, 6, 2,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 3, 5, 1, 5, 4, 6, 1, 5, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 4, 1, 6, 1, 6, 5,
    7, 10, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 5, 3, 2, 5, 6, 1, 4, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 2, 5, 4, 6, 5, 6, 0, 0, 2,
    7, 10, 2, 0, 5, 2, 1, 5, 0, 1, 3, 0, 5, 3, 6, 5, 4, 6, 0, 4, 4, 3,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 2, 1, 5, 6, 2, 6, 5,
    7, 10, 5, 0, 6, 5, 2, 6, 3, 2, 0, 3, 4, 0, 2, 4, 4, 3, 1, 4, 3, 1,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 6, 3, 5, 6, 3, 5, 4, 5, 4, 6,
    7, 10, 5, 2, 2, 1, 3, 2, 4, 3, 1, 4, 5, 0, 6, 1, 6, 0, 1, 5, 2, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 2, 6, 4, 4, 2, 5, 1,
    7, 10, 4, 2, 2, 3, 4, 1, 0, 1, 3, 0, 6, 4, 0, 6, 5, 0, 4, 5, 1, 5,
    7, 10, 2, 1, 5, 2, 3, 5, 0, 3, 4, 0, 6, 4, 3, 6, 1, 3, 4, 1, 5, 4,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 6, 5, 6, 3,
    7, 10, 0, 1, 4, 0, 1, 4, 2, 1, 5, 2, 4, 5, 6, 5, 3, 6, 2, 3, 5, 3,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 5, 6, 1, 6, 2, 4, 2,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 3, 5, 2, 6, 5, 6, 4,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 3, 6, 2, 4, 0,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 4, 6, 5, 6, 3,
    7, 10, 0, 5, 6, 0, 1, 6, 0, 1, 1, 5, 2, 1, 3, 2, 4, 3, 6, 4, 4, 5,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 5, 6, 4, 2, 0,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 5, 6, 3,
    7, 10, 2, 1, 2, 0, 3, 2, 4, 3, 1, 4, 5, 1, 5, 0, 6, 0, 1, 6, 6, 5,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 3, 5, 1, 6, 1, 6, 4, 6, 5,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 5, 2, 4, 1, 6, 0, 5, 6,
    7, 10, 3, 1, 0, 3, 5, 0, 1, 5, 2, 1, 6, 2, 0, 6, 0, 4, 4, 2, 4, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 4, 6, 1, 6, 2, 6, 5,
    7, 10, 0, 3, 2, 0, 1, 2, 3, 1, 4, 3, 2, 4, 5, 4, 5, 0, 6, 4, 6, 1,
    7, 10, 0, 1, 6, 5, 2, 3, 3, 4, 6, 4, 0, 5, 6, 2, 6, 1, 4, 2, 5, 1,
    7, 10, 5, 2, 6, 5, 2, 6, 4, 2, 0, 4, 3, 0, 2, 3, 1, 0, 1, 3, 4, 1,
    7, 10, 3, 4, 1, 3, 4, 1, 0, 4, 3, 0, 1, 0, 2, 1, 5, 2, 6, 5, 2, 6,
    7, 10, 5, 6, 2, 5, 6, 2, 3, 6, 0, 3, 4, 0, 5, 4, 1, 4, 3, 1, 2, 1,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 5, 4, 2,
    7, 10, 1, 0, 2, 1, 3, 2, 0, 3, 5, 0, 1, 5, 4, 5, 6, 4, 3, 6, 2, 6,
    7, 10, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 1, 2, 5, 6, 0, 3, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 2, 1, 5,
    7, 11, 0, 1, 2, 4, 0, 2, 2, 1, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0, 4, 5,
    7, 11, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 0, 2,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 5, 1,
    7, 11, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 11, 3, 6, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 2, 6, 5, 1, 0, 3, 1, 6, 0, 1,
    7, 11, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 0, 3,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 4, 6, 4,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 6, 4,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 2, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 2, 5, 6, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 2, 0, 6,
    7, 11, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 6, 5,
    7, 11, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5, 1, 0, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 3, 5, 1, 5, 1, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 3, 5, 1, 5, 6, 4,
    7, 11, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 4, 5, 1, 0, 1, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0, 2, 4, 2, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 3, 5, 1, 5, 5, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 2, 2, 6,
    7, 11, 1, 0, 4, 1, 0, 4, 5, 0, 4, 5, 3, 4, 1, 3, 5, 1, 2, 3, 1, 2, 6, 1,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 2, 3, 6,
    7, 11, 1, 0, 4, 1, 0, 4, 5, 0, 4, 5, 3, 4, 1, 3, 5, 1, 2, 3, 1, 2, 6, 4,
    7, 11, 0, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 11, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 5, 2, 0, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 2, 0, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 4, 1, 1, 6,
    7, 11, 1, 0, 4, 1, 0, 4, 5, 0, 4, 5, 3, 4, 1, 3, 5, 1, 2, 3, 1, 2, 5, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 5, 4, 3, 5, 1, 5, 0, 6,
    7, 11, 0, 1, 2, 4, 0, 2, 4, 5, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 2, 6,
    7, 11, 1, 0, 4, 1, 0, 4, 5, 0, 4, 5, 3, 4, 1, 3, 5, 1, 2, 3, 1, 2, 3, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 4, 1, 2, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 2, 5, 6,
    7, 11, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 5, 2, 5, 6,
    7, 11, 0, 1, 2, 4, 0, 2, 4, 5, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 5, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 4, 5, 6,
    7, 11, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 5, 2, 1, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 4, 1, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 4, 1, 5, 6,
    7, 11, 0, 1, 2, 4, 0, 2, 4, 5, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 4, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 4, 0, 2, 4, 1, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 6, 5, 6, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4, 5, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 0, 2, 1, 3, 5, 1, 1, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4, 1, 6,
    7, 11, 1, 0, 4, 1, 0, 4, 5, 0, 4, 5, 3, 4, 1, 3, 5, 1, 2, 3, 1, 2, 2, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 3, 2, 0, 3, 2, 4, 5, 2, 1, 6,
    7, 11, 0, 6, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 5, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 5, 3, 2, 5, 1, 0, 1, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 0, 2, 1, 3, 5, 1, 5, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 0, 2, 1, 3, 5, 1, 6, 3,
    7, 11, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 5, 5, 3, 0, 3, 1, 5, 5, 2, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 5, 0, 5, 2, 0, 5, 1, 4, 1, 6, 3,
    7, 11, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 3, 2, 0, 3, 1, 6,
    7, 11, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 5, 3, 2, 5, 1, 0, 6, 2,
    7, 11, 0, 1, 2, 4, 0, 2, 4, 5, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 6,
    7, 11, 0, 6, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5,
    7, 11, 6, 5, 0, 6, 5, 0, 1, 5, 6, 1, 2, 6, 5, 2, 3, 5, 6, 3, 4, 6, 5, 4,
    7, 11, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 5, 1, 2, 5, 6, 2, 1, 6, 3, 1,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 1, 3, 5, 6, 1, 4, 6, 1, 4, 3, 1,
    7, 11, 1, 4, 2, 3, 4, 2, 0, 6, 4, 5, 6, 5, 3, 1, 6, 4, 3, 0, 3, 6, 4, 3,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 2, 6, 4, 2, 6, 5, 2, 0, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 4, 0, 3, 0, 2, 0, 6, 0, 3, 6,
    7, 11, 0, 1, 2, 0, 5, 2, 6, 5, 2, 6, 1, 2, 4, 1, 2, 4, 3, 2, 4, 3, 3, 1,
    7, 11, 4, 5, 1, 4, 2, 1, 3, 2, 6, 3, 5, 6, 2, 5, 4, 2, 3, 5, 0, 5, 2, 0,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 2, 5, 2, 5, 0, 6, 2, 4, 6, 5, 4,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 6, 1, 2, 6, 0, 2, 6, 0, 5, 2, 0, 5,
    7, 11, 0, 5, 6, 0, 1, 6, 5, 1, 2, 5, 6, 2, 4, 3, 3, 2, 4, 5, 6, 4, 6, 5,
    7, 11, 0, 5, 6, 0, 1, 6, 5, 1, 2, 5, 6, 2, 3, 6, 5, 3, 4, 5, 6, 4, 4, 3,
    7, 11, 0, 5, 0, 6, 1, 2, 1, 6, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 0, 2, 2, 4, 5, 2, 4, 5, 6, 5, 6, 0,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 0, 6, 4, 2, 0, 4, 2, 0, 6, 4,
    7, 11, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 5, 1, 5, 2, 6, 1, 2, 6, 4, 2, 5, 4,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 5, 1, 2, 5, 4, 2, 6, 2, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 4, 6, 2, 0, 2, 4, 0,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 1, 5, 3, 4, 5, 1, 4, 6, 5, 6, 1,
    7, 11, 0, 4, 3, 0, 4, 3, 2, 4, 3, 2, 1, 3, 2, 1, 4, 1, 5, 2, 6, 5, 2, 6,
    7, 11, 0, 5, 0, 6, 1, 4, 1, 6, 2, 3, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 11, 0, 1, 4, 0, 5, 4, 6, 5, 3, 6, 2, 3, 1, 2, 4, 1, 2, 4, 5, 2, 1, 5,
    7, 11, 0, 4, 3, 0, 4, 3, 2, 4, 6, 2, 1, 6, 5, 1, 2, 5, 3, 2, 1, 3, 4, 1,
    7, 11, 0, 1, 6, 5, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 2, 6, 3, 6, 4,
    7, 11, 4, 1, 0, 4, 1, 0, 3, 1, 0, 3, 5, 1, 6, 5, 1, 6, 2, 1, 5, 2, 6, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 4, 6, 5, 4, 6,
    7, 11, 1, 0, 2, 1, 3, 2, 4, 3, 0, 4, 2, 0, 5, 2, 6, 5, 3, 6, 6, 0, 0, 5,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 2, 4, 0, 6, 4, 0, 6, 3, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 2, 0, 5, 2, 6, 5, 4, 6, 0, 5, 6, 0,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 2, 6, 3, 6, 0, 3, 4, 0,
    7, 11, 4, 6, 5, 4, 6, 5, 3, 6, 5, 3, 2, 5, 3, 2, 5, 0, 6, 0, 1, 0, 2, 1,
    7, 11, 2, 0, 4, 2, 5, 4, 3, 5, 1, 3, 0, 1, 2, 1, 3, 2, 6, 3, 5, 6, 4, 3,
    7, 11, 4, 3, 4, 2, 1, 4, 3, 1, 0, 3, 1, 0, 3, 2, 3, 5, 2, 5, 6, 0, 4, 6,
    7, 11, 0, 1, 0, 2, 2, 3, 5, 1, 1, 3, 5, 2, 6, 3, 6, 0, 5, 3, 4, 5, 3, 4,
    7, 11, 4, 0, 1, 4, 6, 1, 0, 6, 3, 0, 1, 3, 5, 1, 0, 5, 6, 5, 2, 3, 0, 2,
    7, 11, 0, 1, 5, 0, 4, 5, 1, 4, 2, 1, 3, 2, 4, 3, 4, 2, 6, 4, 2, 6, 3, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 5, 1, 3, 5, 6, 3, 4, 6, 5, 6,
    7, 11, 6, 3, 5, 6, 2, 5, 3, 2, 5, 3, 4, 5, 2, 4, 1, 2, 5, 1, 0, 1, 4, 0,
    7, 11, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 1, 6, 5, 4, 6,
    7, 11, 0, 4, 3, 0, 2, 3, 5, 2, 6, 5, 2, 6, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1,
    7, 11, 5, 0, 0, 1, 3, 0, 5, 3, 2, 5, 6, 2, 4, 6, 5, 4, 1, 5, 6, 1, 3, 6,
    7, 11, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 5, 1, 2, 5, 6, 4, 6, 2, 3, 6,
    7, 11, 3, 2, 6, 3, 5, 6, 0, 5, 2, 0, 1, 2, 0, 1, 5, 1, 2, 5, 4, 2, 6, 4,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 1, 5, 3, 5, 1, 6, 4, 6, 5, 3, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 3, 6, 0, 6, 2, 6, 3, 5, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 5, 1, 6, 5, 4, 6, 3, 6, 1, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 5, 1, 6, 5, 1, 6, 2, 6, 4, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 3, 4, 2, 6, 1, 6, 4, 5, 2, 3, 5,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 5, 1, 6, 1, 4, 6, 6, 5, 2, 6,
    7, 11, 0, 3, 0, 6, 1, 2, 1, 5, 2, 4, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 11, 5, 1, 6, 5, 4, 6, 3, 4, 2, 3, 0, 2, 1, 0, 5, 0, 6, 0, 2, 6, 4, 2,
    7, 11, 1, 0, 2, 1, 3, 2, 4, 3, 0, 4, 5, 2, 3, 5, 6, 0, 6, 5, 6, 2, 3, 6,
    7, 11, 0, 3, 4, 0, 2, 4, 3, 2, 1, 3, 4, 1, 5, 1, 6, 0, 6, 1, 5, 3, 4, 5,
    7, 11, 0, 5, 0, 6, 1, 3, 1, 4, 2, 3, 2, 5, 2, 6, 3, 4, 4, 5, 4, 6, 5, 6,
    7, 11, 0, 2, 1, 0, 2, 1, 0, 3, 3, 1, 5, 4, 5, 3, 6, 4, 6, 2, 6, 0, 1, 6,
    7, 11, 4, 1, 5, 4, 2, 5, 1, 2, 0, 1, 5, 0, 6, 5, 3, 6, 2, 3, 0, 2, 4, 0,
    7, 11, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 6, 1, 6, 2, 5, 1, 3, 5, 5, 2, 4, 5,
    7, 11, 0, 5, 0, 6, 1, 4, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 3, 6, 4, 6, 2, 2, 0, 4, 0,
    7, 11, 0, 2, 1, 0, 2, 1, 0, 3, 3, 1, 5, 4, 5, 3, 6, 4, 6, 2, 4, 0, 1, 4,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 6, 2, 0, 6, 1, 6,
    7, 11, 0, 3, 4, 0, 1, 4, 3, 1, 4, 3, 0, 1, 2, 4, 6, 2, 5, 6, 2, 5, 1, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3, 6, 1, 6, 5,
    7, 11, 4, 1, 5, 4, 2, 5, 1, 2, 0, 1, 4, 0, 5, 0, 6, 5, 3, 6, 2, 3, 5, 3,
    7, 11, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 3, 4, 2, 5, 1, 5, 4, 6, 5, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 5, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 6, 3, 6, 4,
    7, 11, 0, 4, 3, 0, 1, 3, 4, 1, 3, 4, 5, 1, 6, 5, 1, 6, 2, 1, 5, 2, 6, 2,
    7, 11, 4, 1, 0, 4, 3, 0, 2, 5, 5, 4, 6, 5, 2, 6, 1, 2, 3, 1, 6, 3, 2, 3,
    7, 11, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 2, 5, 4, 5, 3, 6, 0, 6, 5, 3, 6,
    7, 11, 5, 2, 2, 4, 5, 3, 4, 1, 5, 4, 0, 1, 3, 0, 0, 2, 6, 2, 6, 3, 0, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 4, 5, 2, 5, 3, 6, 1, 0, 6,
    7, 11, 0, 3, 0, 4, 1, 2, 1, 5, 1, 6, 2, 4, 2, 6, 3, 5, 3, 6, 4, 5, 5, 6,
    7, 11, 4, 0, 3, 4, 5, 3, 0, 5, 1, 0, 2, 1, 3, 2, 4, 1, 5, 2, 6, 4, 5, 6,
    7, 11, 2, 3, 4, 2, 0, 4, 5, 0, 1, 5, 4, 1, 3, 4, 5, 3, 1, 0, 6, 5, 6, 2,
    7, 11, 4, 1, 0, 4, 3, 0, 4, 3, 5, 4, 6, 5, 2, 6, 1, 2, 3, 1, 6, 3, 2, 5,
    7, 11, 0, 3, 4, 0, 2, 4, 3, 2, 1, 3, 0, 1, 6, 0, 5, 6, 2, 5, 1, 5, 4, 1,
    7, 11, 0, 3, 0, 4, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 6, 4, 5, 5, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 3, 4, 2, 5, 1, 5, 4, 6, 1, 5, 6,
    7, 11, 4, 1, 5, 4, 6, 5, 3, 6, 2, 3, 1, 2, 0, 1, 5, 0, 4, 0, 5, 2, 6, 2,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 2, 3, 5, 4, 5, 3, 0, 6, 5, 6, 1,
    7, 11, 0, 4, 1, 0, 4, 1, 3, 4, 2, 3, 1, 2, 6, 1, 5, 6, 3, 5, 5, 4, 2, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 5, 1, 4, 2, 6, 2, 3, 6, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 2, 1, 6, 5, 2, 4, 1, 0, 3,
    7, 11, 0, 3, 0, 4, 1, 2, 1, 5, 1, 6, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 11, 0, 1, 1, 2, 2, 3, 5, 4, 0, 4, 5, 3, 5, 1, 6, 3, 6, 4, 4, 2, 0, 3,
    7, 11, 0, 4, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 4, 2, 6, 3, 6, 4, 5,
    7, 11, 4, 3, 2, 4, 3, 2, 0, 3, 2, 1, 5, 4, 5, 0, 6, 4, 6, 1, 1, 5, 0, 6,
    7, 11, 6, 4, 3, 6, 1, 3, 4, 1, 0, 4, 2, 0, 3, 2, 0, 1, 5, 0, 6, 5, 5, 2,
    7, 11, 6, 1, 2, 6, 1, 2, 0, 1, 3, 0, 4, 3, 5, 4, 3, 5, 2, 0, 4, 0, 5, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 4, 3, 0, 2,
    7, 12, 3, 6, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 2, 6, 5, 1, 0, 3, 1, 6, 0, 1, 0, 6,
    7, 12, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 5, 1, 2, 4,
    7, 12, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1, 2, 3,
    7, 12, 0, 1, 1, 2, 0, 2, 3, 2, 3, 1, 4, 0, 2, 4, 5, 1, 0, 5, 4, 5, 3, 4, 5, 3,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 2, 1, 5, 6, 1,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 2, 4, 6, 5, 3,
    7, 12, 0, 1, 2, 4, 0, 2, 2, 1, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3, 1, 6,
    7, 12, 0, 1, 2, 4, 0, 2, 2, 1, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3, 3, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0, 4, 5, 4, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0, 4, 5, 6, 1,
    7, 12, 0, 1, 2, 4, 0, 2, 2, 1, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3, 0, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0, 4, 5, 0, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0, 4, 5, 2, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 0, 2, 1, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 0, 2, 4, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 0, 2, 6, 1, 6, 5,
    7, 12, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 1, 5, 3, 2, 5, 1, 0, 4, 1, 1, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 3, 5, 0, 3, 5, 6,
    7, 12, 3, 6, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 2, 6, 5, 1, 0, 3, 1, 6, 0, 1, 1, 4,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 3, 5, 0, 3, 3, 6,
    7, 12, 0, 1, 2, 4, 0, 2, 2, 1, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3, 4, 6,
    7, 12, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 1, 5, 3, 2, 5, 1, 0, 4, 1, 2, 6,
    7, 12, 3, 6, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 2, 6, 5, 1, 0, 3, 1, 6, 0, 1, 0, 4,
    7, 12, 1, 3, 4, 1, 3, 4, 2, 3, 0, 2, 4, 0, 5, 4, 2, 5, 4, 2, 0, 5, 1, 5, 3, 6,
    7, 12, 1, 3, 4, 1, 3, 4, 2, 3, 0, 2, 4, 0, 5, 4, 2, 5, 4, 2, 0, 5, 1, 5, 0, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 0, 4, 5, 5, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 0, 3, 5, 6,
    7, 12, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2, 4, 6,
    7, 12, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2, 0, 6,
    7, 12, 3, 6, 1, 3, 2, 1, 0, 2, 5, 0, 6, 5, 2, 6, 5, 1, 0, 3, 1, 6, 0, 1, 4, 5,
    7, 12, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2, 3, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 0, 3, 0, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 0, 2, 5, 6,
    7, 12, 0, 3, 6, 0, 5, 6, 3, 5, 1, 3, 6, 1, 4, 6, 3, 4, 2, 3, 6, 2, 3, 6, 5, 4,
    7, 12, 0, 1, 4, 0, 5, 4, 1, 5, 4, 1, 2, 4, 1, 2, 6, 1, 4, 6, 2, 6, 3, 2, 4, 3,
    7, 12, 4, 1, 3, 2, 3, 0, 4, 2, 5, 1, 5, 0, 3, 5, 4, 3, 5, 4, 6, 5, 3, 6, 4, 6,
    7, 12, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 4, 2, 3, 4, 5, 3, 0, 5, 6, 3, 1, 6,
    7, 12, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 6, 3, 0, 6, 5, 0, 1, 5, 4, 1, 2, 4,
    7, 12, 6, 2, 5, 6, 3, 5, 2, 3, 1, 2, 4, 1, 5, 4, 2, 5, 4, 2, 0, 4, 1, 0, 5, 1,
    7, 12, 5, 4, 6, 5, 3, 6, 4, 3, 0, 4, 3, 0, 1, 3, 0, 1, 4, 1, 3, 5, 2, 3, 4, 2,
    7, 12, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 5, 0, 1, 5, 6, 1, 0, 6,
    7, 12, 1, 2, 0, 1, 2, 0, 3, 2, 0, 3, 1, 3, 4, 2, 0, 4, 5, 4, 2, 5, 6, 2, 1, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 2, 4, 5, 6, 4, 3, 6,
    7, 12, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 5, 0, 1, 5, 6, 1, 2, 6,
    7, 12, 1, 2, 0, 1, 2, 0, 3, 2, 0, 3, 1, 3, 4, 2, 0, 4, 6, 4, 2, 6, 5, 2, 4, 5,
    7, 12, 1, 0, 2, 1, 0, 2, 3, 0, 4, 3, 0, 4, 5, 0, 3, 5, 4, 5, 6, 4, 3, 6, 6, 0,
    7, 12, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 4, 1, 0, 4, 5, 0, 2, 5, 6, 5, 2, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 6, 4, 0, 6, 5, 0, 3, 5,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 1, 5, 6, 1, 0, 6, 5, 0, 4, 5,
    7, 12, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 6, 1, 0, 6, 5, 0, 2, 5,
    7, 12, 5, 4, 3, 5, 4, 3, 6, 4, 3, 6, 2, 3, 4, 2, 0, 4, 3, 0, 1, 0, 2, 1, 6, 2,
    7, 12, 4, 1, 3, 2, 3, 0, 4, 2, 5, 1, 5, 0, 3, 5, 4, 3, 5, 4, 6, 5, 0, 6, 3, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 6, 1, 0, 6, 5, 0, 1, 5,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 3, 1, 5, 1, 6, 5, 4, 6,
    7, 12, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 5, 4, 3, 5, 6, 3, 4, 6,
    7, 12, 1, 0, 2, 1, 3, 2, 0, 3, 4, 3, 1, 4, 4, 0, 5, 4, 0, 5, 3, 5, 6, 0, 1, 6,
    7, 12, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 6, 2, 4, 6, 5, 0, 1, 5,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 5, 4, 2, 5, 1, 5, 6, 1, 5, 6,
    7, 12, 0, 2, 1, 0, 2, 1, 0, 3, 3, 1, 4, 2, 5, 3, 6, 1, 6, 4, 4, 0, 3, 4, 1, 5,
    7, 12, 0, 1, 1, 2, 0, 2, 3, 0, 3, 2, 4, 3, 4, 1, 0, 4, 5, 2, 5, 4, 6, 0, 3, 6,
    7, 12, 5, 0, 2, 5, 6, 2, 3, 6, 2, 3, 1, 2, 0, 1, 4, 0, 1, 4, 5, 1, 6, 5, 0, 2,
    7, 12, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 6, 4, 2, 6, 5, 2, 3, 5,
    7, 12, 0, 2, 1, 0, 5, 1, 3, 5, 6, 3, 2, 6, 4, 2, 3, 4, 5, 4, 2, 5, 1, 2, 4, 1,
    7, 12, 0, 2, 1, 0, 2, 1, 0, 3, 3, 1, 4, 0, 1, 4, 4, 2, 3, 4, 5, 4, 6, 5, 3, 6,
    7, 12, 0, 1, 1, 2, 0, 2, 3, 0, 3, 1, 3, 2, 6, 1, 2, 6, 4, 6, 3, 4, 5, 3, 6, 5,
    7, 12, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 5, 0, 6, 5, 0, 6, 3, 4,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 1, 2, 5, 6, 0, 3, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 3, 5, 1, 5, 4, 6, 3, 4, 6, 1, 6, 6, 5,
    7, 12, 0, 5, 0, 6, 1, 3, 1, 4, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 2, 6, 5, 0, 6, 6, 2, 0, 5, 1, 5, 6, 1,
    7, 12, 0, 1, 6, 5, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 2, 6, 3, 6, 4, 5, 1,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4, 6, 1, 5, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 1, 4, 5, 6, 4, 5, 6,
    7, 12, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 1, 5, 3, 2, 5, 1, 0, 4, 1, 6, 3, 6, 1,
    7, 12, 0, 4, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 12, 0, 1, 2, 4, 0, 2, 2, 1, 4, 6, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3, 6, 1, 2, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 5, 4, 0, 4, 5, 3, 5, 1, 6, 3, 6, 4, 4, 2, 0, 3, 4, 3,
    7, 12, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 6, 1, 6, 5,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 1, 6, 5, 0, 6, 1, 6,
    7, 12, 0, 3, 4, 0, 2, 4, 3, 2, 1, 3, 4, 1, 1, 0, 5, 1, 5, 2, 6, 1, 2, 6, 4, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 2, 5, 0, 5, 4, 4, 1, 1, 6, 5, 3, 1, 5, 6, 2,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 2, 5, 0, 5, 4, 4, 1, 1, 5, 5, 3, 6, 1, 4, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 2, 5, 0, 5, 4, 4, 1, 1, 5, 5, 3, 6, 1, 0, 6,
    7, 12, 4, 3, 1, 2, 0, 1, 0, 3, 4, 0, 6, 4, 4, 2, 5, 4, 6, 2, 6, 3, 3, 2, 5, 1,
    7, 12, 2, 3, 4, 2, 0, 4, 6, 0, 6, 5, 4, 5, 1, 3, 5, 1, 0, 5, 6, 1, 3, 6, 5, 3,
    7, 12, 0, 3, 0, 5, 1, 2, 1, 5, 1, 6, 2, 4, 2, 6, 3, 4, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 3, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 4, 3, 5, 3, 6, 1, 3, 6, 6, 2, 0, 6, 4, 6,
    7, 12, 0, 1, 2, 4, 0, 2, 6, 1, 3, 1, 3, 2, 4, 1, 5, 1, 5, 2, 5, 3, 0, 3, 4, 6,
    7, 12, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 6, 3, 1, 6,
    7, 12, 4, 3, 1, 2, 5, 0, 0, 3, 4, 0, 4, 1, 4, 2, 5, 1, 6, 2, 6, 3, 3, 2, 6, 4,
    7, 12, 2, 3, 4, 2, 5, 4, 0, 5, 6, 0, 1, 6, 3, 1, 6, 3, 5, 3, 1, 5, 4, 0, 3, 0,
    7, 12, 0, 3, 0, 5, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 6, 4, 6, 5, 6,
    7, 12, 3, 2, 1, 2, 5, 0, 0, 3, 4, 0, 4, 1, 6, 4, 5, 1, 6, 2, 6, 3, 6, 1, 0, 6,
    7, 12, 0, 5, 0, 6, 1, 3, 1, 4, 1, 6, 2, 3, 2, 4, 2, 6, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 3, 0, 5, 1, 2, 1, 4, 1, 6, 2, 4, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 3, 0, 6, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 4, 6, 5, 6,
    7, 12, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 2, 5, 0, 5, 4, 4, 1, 3, 4, 5, 3, 2, 6, 6, 1,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 2, 5, 0, 5, 4, 4, 1, 3, 4, 5, 3, 6, 1, 6, 5,
    7, 12, 0, 2, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 12, 0, 5, 0, 6, 1, 3, 1, 4, 1, 6, 2, 3, 2, 4, 2, 5, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 1, 2, 4, 5, 2, 0, 5, 4, 3, 6, 5, 6, 4, 3, 5,
    7, 12, 0, 2, 0, 6, 1, 2, 1, 4, 1, 5, 2, 3, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 2, 0, 6, 1, 3, 1, 4, 1, 5, 2, 4, 2, 5, 3, 4, 3, 5, 3, 6, 4, 6, 5, 6,
    7, 12, 0, 2, 0, 6, 1, 3, 1, 4, 1, 5, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 12, 0, 5, 0, 6, 1, 3, 1, 4, 1, 6, 2, 3, 2, 4, 2, 6, 3, 4, 3, 5, 4, 5, 5, 6,
    7, 12, 0, 5, 0, 6, 1, 2, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 12, 3, 0, 2, 3, 4, 2, 0, 4, 5, 1, 5, 2, 6, 1, 6, 0, 3, 6, 5, 3, 4, 5, 6, 4,
    7, 12, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 1, 0, 2, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 12, 3, 0, 2, 3, 4, 2, 0, 4, 5, 1, 5, 2, 6, 1, 6, 0, 3, 6, 5, 3, 6, 4, 1, 3,
    7, 12, 0, 4, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 3, 6, 4, 6, 5, 6,
    7, 12, 2, 3, 4, 2, 5, 2, 4, 1, 6, 0, 3, 0, 3, 1, 6, 3, 5, 6, 1, 5, 4, 0, 3, 4,
    7, 12, 2, 3, 4, 2, 4, 1, 2, 5, 6, 0, 6, 4, 3, 1, 6, 3, 0, 3, 1, 5, 4, 0, 5, 3,
    7, 12, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 6, 2, 3, 2, 6, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 12, 3, 0, 2, 3, 4, 2, 0, 4, 5, 1, 5, 2, 6, 1, 6, 0, 3, 6, 1, 3, 6, 4, 5, 4,
    7, 12, 6, 3, 1, 2, 2, 3, 0, 3, 4, 2, 5, 0, 0, 6, 4, 1, 3, 4, 6, 5, 5, 1, 0, 4,
    7, 12, 0, 3, 0, 5, 0, 6, 1, 2, 1, 5, 1, 6, 2, 4, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6,
    7, 12, 0, 3, 0, 5, 0, 6, 1, 2, 1, 4, 1, 6, 2, 3, 2, 5, 3, 4, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 3, 0, 5, 0, 6, 1, 2, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 4, 5, 4, 6, 5, 6,
    7, 12, 0, 4, 3, 0, 1, 3, 4, 1, 1, 0, 4, 5, 2, 4, 6, 2, 5, 6, 2, 5, 3, 2, 6, 3,
    7, 12, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 5, 2, 5, 4, 6, 4, 6, 3, 6, 2, 5, 3,
    7, 12, 0, 4, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 4, 5, 4, 6,
    7, 12, 3, 0, 4, 2, 3, 1, 4, 0, 5, 2, 5, 1, 4, 3, 5, 4, 3, 5, 6, 1, 0, 6, 2, 6,
    7, 12, 1, 0, 4, 1, 0, 4, 5, 0, 6, 5, 1, 6, 3, 4, 5, 3, 2, 3, 5, 2, 6, 3, 2, 6,
    7, 12, 0, 1, 2, 0, 2, 3, 3, 4, 0, 4, 0, 5, 6, 1, 4, 6, 6, 5, 2, 6, 3, 1, 5, 3,
    7, 12, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 6, 0, 6, 1, 6, 2, 6, 3, 6, 4, 6, 5,
    7, 12, 3, 6, 1, 2, 0, 6, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 1, 2, 5, 4, 5, 6, 4,
    7, 13, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 0, 6, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 4, 3, 0, 2, 6, 4,
    7, 13, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1, 0, 4, 1, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 6, 4, 5, 5, 6,
    7, 13, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 0, 3, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 13, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 5, 6,
    7, 13, 0, 6, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2, 4, 5, 1, 6,
    7, 13, 0, 1, 1, 2, 2, 3, 4, 5, 0, 4, 1, 3, 4, 1, 2, 4, 0, 3, 5, 3, 4, 3, 0, 2, 5, 6,
    7, 13, 0, 5, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 6, 4, 6, 5, 6,
    7, 13, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 13, 5, 6, 0, 5, 6, 0, 4, 6, 5, 4, 1, 5, 6, 1, 3, 6, 5, 3, 2, 5, 6, 2, 1, 0, 2, 1,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 6,
    7, 13, 3, 4, 0, 3, 4, 0, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 2, 1, 6, 0, 3, 6, 5, 3, 4, 5,
    7, 13, 3, 4, 0, 3, 4, 0, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 2, 1, 6, 0, 3, 6, 5, 3, 0, 5,
    7, 13, 3, 4, 0, 3, 4, 0, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 2, 1, 6, 4, 0, 6, 5, 0, 3, 5,
    7, 13, 0, 5, 0, 6, 1, 3, 1, 4, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 5, 4, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 5, 1, 6, 5, 1, 6,
    7, 13, 0, 4, 0, 6, 1, 3, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 0, 5, 0, 6, 1, 4, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 5, 6,
    7, 13, 0, 5, 0, 6, 1, 3, 1, 4, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 5, 3, 6, 5, 4, 6,
    7, 13, 0, 5, 0, 6, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 13, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 6, 1, 6, 5, 5, 1,
    7, 13, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 4, 0, 5, 6, 0, 3, 6, 6, 4,
    7, 13, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 6, 1, 5, 1, 2, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 5, 6,
    7, 13, 1, 0, 2, 1, 4, 2, 1, 4, 3, 1, 0, 3, 2, 3, 5, 2, 1, 5, 0, 5, 6, 0, 1, 6, 2, 6,
    7, 13, 2, 5, 6, 2, 5, 6, 4, 5, 3, 4, 0, 3, 4, 0, 1, 4, 3, 1, 6, 3, 2, 1, 4, 2, 3, 2,
    7, 13, 0, 3, 0, 6, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 13, 2, 4, 3, 2, 1, 3, 4, 1, 0, 4, 3, 0, 6, 3, 1, 6, 5, 1, 4, 5, 6, 4, 3, 5, 1, 2,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 4, 2, 5, 3, 5, 3, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 5, 5, 6,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 3, 2, 5, 3, 6, 4, 5,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 6, 2, 4, 2, 5, 3, 4, 3, 5,
    7, 13, 0, 2, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 2, 5, 1, 2, 5, 1, 4, 5, 3, 4, 0, 3, 4, 0, 3, 2, 4, 2, 1, 3, 6, 3, 2, 6, 1, 6,
    7, 13, 0, 4, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 5, 6,
    7, 13, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 0, 4, 6, 1, 4, 6,
    7, 13, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 5, 2, 5, 0, 6, 5, 1, 6, 4, 0,
    7, 13, 0, 1, 1, 2, 0, 2, 3, 0, 1, 3, 3, 2, 4, 0, 2, 5, 3, 4, 5, 3, 0, 5, 6, 4, 6, 1,
    7, 13, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 5, 2, 6, 2, 5, 6, 0, 5, 1, 2,
    7, 13, 5, 4, 6, 2, 6, 4, 4, 3, 5, 0, 3, 1, 3, 2, 6, 3, 5, 6, 4, 0, 1, 4, 5, 1, 0, 3,
    7, 13, 0, 2, 0, 6, 1, 3, 1, 4, 1, 5, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 1, 5, 4, 1, 0, 4, 5, 0, 2, 5, 4, 2, 3, 4, 5, 3, 0, 1, 2, 0, 3, 2, 6, 5, 6, 4,
    7, 13, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 0, 4, 0, 6, 4, 6,
    7, 13, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 5, 0, 4, 5, 1, 5, 6, 1, 0, 6, 3, 6,
    7, 13, 0, 5, 0, 6, 1, 2, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 4, 1, 5, 3, 2, 5, 1, 0, 6, 3, 4, 6, 5, 1,
    7, 13, 5, 2, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 6, 2, 6, 3, 1, 2, 3, 1, 4, 0,
    7, 13, 1, 0, 2, 1, 0, 2, 0, 3, 3, 2, 6, 2, 1, 6, 5, 1, 6, 5, 4, 6, 5, 4, 0, 5, 4, 0,
    7, 13, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6,
    7, 13, 0, 5, 0, 6, 1, 3, 1, 4, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 13, 0, 1, 1, 2, 4, 1, 3, 1, 0, 4, 2, 3, 0, 3, 2, 0, 5, 0, 6, 5, 4, 6, 3, 5, 4, 2,
    7, 13, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6, 5, 6,
    7, 13, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 0, 4, 2, 3, 6, 5, 0, 6,
    7, 13, 5, 2, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 6, 2, 6, 3, 2, 3, 5, 0, 4, 0,
    7, 13, 0, 1, 1, 2, 2, 3, 5, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 6, 3, 6, 4, 4, 2, 0, 3,
    7, 13, 0, 1, 0, 6, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6, 5, 6,
    7, 13, 0, 1, 0, 6, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 13, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 6, 2, 0, 6, 5, 0, 2, 5, 5, 3, 4, 5, 6, 4, 3, 6,
    7, 13, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 6, 5, 0, 6, 0, 2, 2, 5, 5, 3, 4, 5, 6, 4, 3, 6,
    7, 13, 3, 4, 0, 3, 4, 0, 3, 6, 3, 1, 2, 3, 4, 2, 1, 0, 2, 1, 5, 2, 3, 5, 6, 2, 5, 6,
    7, 13, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4, 6, 5, 3, 6, 4, 6,
    7, 13, 1, 0, 2, 1, 6, 0, 1, 4, 3, 1, 0, 3, 2, 3, 1, 6, 1, 5, 2, 6, 4, 3, 5, 4, 6, 5,
    7, 13, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 5, 2, 6, 3, 5, 4, 6,
    7, 13, 0, 6, 1, 2, 2, 3, 0, 3, 4, 2, 5, 0, 6, 3, 4, 1, 3, 4, 6, 5, 1, 5, 3, 5, 1, 3,
    7, 13, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 6, 4, 4, 3, 5, 4, 5, 2, 6, 0, 3, 6, 3, 5,
    7, 13, 0, 1, 1, 2, 2, 3, 3, 6, 0, 4, 6, 5, 0, 6, 6, 4, 2, 5, 5, 3, 4, 5, 1, 5, 6, 1,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 4, 5, 4, 6, 5, 6,
    7, 13, 2, 3, 5, 2, 6, 5, 3, 6, 4, 3, 5, 4, 0, 5, 2, 0, 1, 2, 0, 1, 5, 1, 4, 2, 6, 4,
    7, 13, 2, 1, 0, 5, 6, 0, 4, 6, 5, 4, 1, 5, 6, 1, 3, 6, 5, 3, 2, 5, 6, 2, 1, 0, 3, 4,
    7, 13, 0, 1, 2, 0, 2, 3, 3, 4, 0, 4, 0, 5, 6, 1, 4, 6, 6, 5, 2, 6, 3, 1, 5, 3, 6, 0,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 2, 1, 5, 1, 6, 2, 3, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 13, 2, 3, 0, 2, 3, 0, 4, 3, 4, 6, 5, 1, 4, 5, 3, 1, 5, 2, 6, 0, 6, 1, 2, 1, 4, 1,
    7, 13, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 3, 5, 4, 5, 2, 5, 1, 6, 5, 1, 6, 2, 6,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6,
    7, 13, 3, 0, 2, 3, 4, 2, 0, 4, 5, 1, 5, 2, 6, 1, 6, 0, 3, 6, 1, 3, 6, 4, 5, 4, 5, 3,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 2, 1, 4, 1, 5, 2, 3, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6, 5, 6,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 3, 4, 3, 6, 4, 6, 5, 6,
    7, 13, 0, 2, 0, 5, 0, 6, 1, 2, 1, 4, 1, 6, 2, 3, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 3, 4, 5, 0, 3, 5, 0, 6, 6, 4, 2, 3, 4, 2, 1, 0, 2, 1, 1, 6, 5, 1, 2, 5, 6, 2,
    7, 13, 0, 2, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 13, 3, 0, 2, 3, 4, 2, 0, 4, 5, 3, 5, 2, 5, 4, 1, 3, 1, 0, 4, 1, 6, 0, 3, 6, 1, 6,
    7, 13, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 6, 0, 1, 6, 6, 3, 4, 6, 1, 2, 5, 0,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6,
    7, 13, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5,
    7, 13, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 5, 3, 5, 4, 6, 4, 6, 2, 6, 5, 5, 2, 3, 6,
    7, 13, 0, 1, 0, 5, 0, 6, 1, 3, 1, 4, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 13, 0, 1, 0, 5, 0, 6, 1, 3, 1, 4, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 13, 0, 1, 2, 0, 2, 3, 3, 4, 0, 4, 0, 5, 6, 1, 4, 6, 6, 5, 2, 6, 3, 1, 5, 3, 2, 1,
    7, 14, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 1, 3, 2, 0, 4, 0, 5, 3,
    7, 14, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1, 2, 3, 0, 4, 1, 6,
    7, 14, 0, 6, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6, 5, 6,
    7, 14, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 3, 1, 2, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 3, 6, 5, 3, 4, 5, 6, 4,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 6, 2, 1, 6, 5, 1, 0, 5,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 5, 2, 3, 5, 6, 4, 0, 6,
    7, 14, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 2, 4, 5, 1, 0, 3, 1, 4, 0, 1, 0, 4, 6, 4, 0, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 3, 4, 3, 5, 4, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 6, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 3, 4, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 0, 1, 5, 1, 0, 4, 1, 4, 5, 3, 2, 5, 6, 4, 0, 6,
    7, 14, 1, 3, 2, 1, 0, 2, 5, 0, 4, 5, 3, 4, 5, 3, 2, 5, 1, 0, 4, 1, 6, 1, 5, 1, 2, 6, 0, 4,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 6, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 14, 2, 3, 4, 2, 6, 3, 4, 0, 6, 0, 3, 4, 3, 1, 5, 4, 5, 0, 0, 3, 1, 5, 5, 3, 6, 4, 6, 1,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 5, 3, 6, 5, 4, 6, 5, 4,
    7, 14, 3, 1, 1, 4, 2, 3, 3, 4, 0, 4, 1, 5, 0, 1, 0, 2, 2, 5, 5, 3, 4, 5, 1, 2, 6, 2, 5, 6,
    7, 14, 0, 3, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 3, 0, 6, 1, 2, 1, 4, 1, 5, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 14, 0, 1, 0, 6, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 4, 6, 5, 2, 1, 5, 0, 5, 6, 3,
    7, 14, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4, 4, 2, 3, 0, 6, 1, 5, 6,
    7, 14, 0, 4, 0, 6, 1, 2, 1, 3, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 4, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 5, 6,
    7, 14, 0, 5, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 14, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 1, 2, 5, 2, 4, 0, 3, 1, 5, 0, 6, 5, 6, 4, 0, 1,
    7, 14, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 5, 2, 6, 0, 6, 1, 5, 0, 1, 2, 3, 1, 4, 0,
    7, 14, 5, 6, 0, 5, 6, 0, 4, 6, 5, 4, 1, 5, 6, 1, 3, 6, 5, 3, 2, 5, 6, 2, 1, 0, 2, 1, 3, 4,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 5, 1, 6, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 14, 0, 1, 2, 0, 2, 3, 3, 4, 0, 4, 0, 5, 6, 1, 4, 6, 6, 5, 2, 6, 3, 1, 5, 3, 6, 0, 3, 6,
    7, 14, 3, 1, 4, 2, 4, 5, 4, 0, 1, 4, 0, 3, 5, 0, 5, 2, 6, 1, 3, 6, 6, 0, 5, 6, 6, 2, 4, 6,
    7, 14, 0, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 1, 1, 0, 2, 1, 5, 4, 1, 5, 6, 1, 3, 6, 0, 5, 6, 0,
    7, 14, 3, 4, 4, 2, 1, 5, 4, 0, 1, 4, 5, 3, 3, 0, 5, 2, 6, 4, 0, 6, 3, 6, 2, 6, 5, 6, 1, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 4, 1, 5, 2, 3, 2, 6, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 2, 3, 4, 2, 6, 3, 4, 0, 4, 5, 3, 4, 3, 1, 5, 2, 1, 6, 5, 6, 6, 0, 5, 3, 6, 4, 0, 1,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 4, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 2, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 2, 3, 4, 2, 6, 3, 4, 0, 1, 4, 6, 0, 3, 1, 5, 2, 4, 5, 5, 6, 1, 5, 5, 3, 6, 4, 3, 0,
    7, 14, 3, 1, 4, 2, 0, 3, 4, 0, 1, 4, 5, 3, 5, 0, 5, 2, 6, 4, 1, 6, 6, 3, 0, 6, 6, 5, 2, 6,
    7, 14, 0, 1, 4, 2, 3, 0, 4, 0, 4, 5, 5, 3, 1, 3, 5, 2, 6, 4, 2, 6, 6, 5, 3, 6, 6, 1, 0, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 6, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 14, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 5, 1, 6, 2, 3, 2, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 14, 2, 3, 4, 2, 6, 3, 4, 0, 1, 4, 6, 1, 3, 1, 5, 2, 5, 0, 5, 6, 4, 5, 5, 3, 6, 0, 3, 0,
    7, 14, 2, 3, 4, 2, 3, 0, 4, 0, 4, 5, 3, 4, 3, 1, 5, 2, 0, 1, 5, 6, 6, 0, 5, 3, 6, 4, 1, 6,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 14, 0, 3, 0, 4, 0, 6, 1, 2, 1, 4, 1, 5, 2, 3, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 5, 6,
    7, 14, 0, 1, 0, 5, 0, 6, 1, 4, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 5, 6,
    7, 14, 0, 1, 0, 4, 0, 6, 1, 3, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 2, 3, 4, 2, 6, 3, 4, 0, 1, 4, 4, 5, 3, 1, 5, 2, 5, 0, 6, 1, 0, 6, 5, 3, 6, 4, 3, 0,
    7, 14, 0, 1, 0, 5, 0, 6, 1, 3, 1, 4, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 2, 3, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 5, 6,
    7, 14, 2, 3, 4, 2, 6, 3, 4, 0, 4, 5, 3, 5, 3, 1, 5, 2, 3, 0, 1, 4, 6, 0, 1, 6, 6, 4, 0, 1,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 6,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 4, 6,
    7, 14, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 5, 1, 6, 2, 3, 2, 4, 2, 6, 3, 4, 3, 5, 4, 6, 5, 6,
    7, 14, 0, 3, 0, 4, 0, 5, 1, 2, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 6, 4, 6, 5, 6,
    7, 14, 0, 3, 0, 4, 0, 5, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 6, 4, 6, 5, 6,
    7, 14, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 0, 6, 0, 2, 5, 0, 3, 5, 1, 3, 6, 1, 4, 6, 2, 4,
    7, 14, 0, 3, 0, 4, 0, 5, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 6, 4, 5,
    7, 15, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 1, 2, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 4, 5,
    7, 15, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 1, 3, 2, 0, 4, 0, 5, 3, 1, 6,
    7, 15, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 2, 4, 5, 2, 1, 5, 1, 4, 1, 3, 2, 0, 4, 0, 5, 3, 0, 6,
    7, 15, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 3, 4, 3, 5, 3, 6, 5, 6,
    7, 15, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 5, 1, 6, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 15, 3, 4, 4, 5, 0, 3, 0, 4, 0, 5, 0, 6, 3, 6, 4, 6, 5, 6, 1, 5, 3, 5, 2, 3, 2, 4, 1, 6, 0, 1,
    7, 15, 3, 4, 4, 5, 0, 3, 0, 4, 0, 5, 0, 6, 3, 6, 1, 3, 1, 4, 1, 5, 3, 5, 2, 3, 2, 4, 6, 1, 4, 6,
    7, 15, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 1, 4, 2, 4, 3, 5, 1, 0, 5, 5, 2, 3, 5, 4, 5, 6, 1, 5, 6,
    7, 15, 4, 3, 4, 5, 5, 3, 0, 1, 0, 5, 0, 3, 2, 4, 1, 5, 1, 3, 6, 5, 3, 6, 6, 0, 1, 6, 6, 2, 4, 6,
    7, 15, 3, 4, 4, 5, 5, 6, 0, 4, 0, 5, 0, 6, 3, 6, 1, 3, 4, 6, 1, 5, 3, 5, 2, 3, 2, 4, 1, 6, 0, 1,
    7, 15, 0, 2, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 15, 6, 1, 4, 5, 0, 3, 0, 4, 0, 5, 0, 6, 3, 6, 1, 3, 1, 4, 1, 5, 3, 5, 2, 3, 2, 4, 5, 6, 4, 6,
    7, 15, 3, 4, 4, 5, 0, 3, 0, 4, 0, 5, 4, 6, 3, 6, 1, 3, 1, 4, 1, 5, 3, 5, 2, 3, 2, 4, 5, 6, 5, 2,
    7, 15, 3, 4, 4, 5, 0, 3, 0, 4, 6, 0, 4, 6, 3, 6, 1, 3, 1, 4, 1, 5, 3, 5, 2, 3, 2, 4, 5, 6, 5, 2,
    7, 15, 0, 1, 1, 2, 0, 2, 3, 0, 1, 3, 2, 3, 5, 1, 3, 5, 4, 3, 2, 4, 6, 2, 3, 6, 6, 1, 0, 5, 4, 0,
    7, 15, 0, 1, 2, 0, 3, 2, 4, 3, 1, 4, 3, 1, 4, 2, 0, 4, 3, 0, 6, 3, 4, 6, 5, 4, 3, 5, 6, 2, 5, 1,
    7, 15, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 4, 3, 4, 5, 3, 4, 5, 6, 4, 5, 6, 6, 3,
    7, 15, 0, 1, 1, 2, 2, 3, 0, 3, 4, 0, 4, 3, 4, 2, 6, 1, 2, 6, 5, 2, 4, 5, 6, 4, 0, 6, 6, 5, 3, 6,
    7, 15, 0, 1, 5, 3, 1, 3, 0, 4, 3, 0, 4, 3, 2, 4, 5, 2, 4, 5, 6, 4, 2, 6, 6, 5, 3, 6, 6, 1, 0, 6,
    7, 15, 5, 2, 4, 5, 3, 1, 0, 4, 0, 5, 0, 3, 2, 4, 1, 5, 1, 4, 6, 3, 1, 6, 6, 0, 5, 6, 6, 2, 4, 6,
    7, 15, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 0, 5, 0, 3, 2, 0, 3, 1, 6, 4, 5, 6, 6, 3, 0, 6, 6, 2, 1, 6,
    7, 15, 5, 2, 3, 0, 5, 3, 0, 4, 0, 5, 4, 3, 2, 4, 1, 5, 1, 4, 6, 4, 2, 6, 6, 0, 5, 6, 6, 3, 1, 6,
    7, 15, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 6, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 15, 6, 1, 4, 5, 0, 3, 0, 4, 0, 5, 4, 6, 3, 6, 1, 3, 1, 4, 0, 6, 3, 5, 2, 3, 2, 4, 5, 6, 5, 2,
    7, 15, 3, 4, 0, 1, 0, 3, 0, 4, 0, 5, 4, 6, 3, 6, 1, 3, 1, 4, 6, 0, 1, 6, 2, 3, 2, 4, 5, 6, 5, 2,
    7, 15, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 6,
    7, 15, 5, 2, 4, 5, 5, 3, 0, 4, 0, 1, 1, 3, 2, 4, 3, 0, 1, 4, 6, 4, 1, 6, 6, 0, 3, 6, 6, 2, 5, 6,
    7, 15, 5, 0, 4, 3, 5, 3, 5, 2, 0, 1, 1, 3, 2, 4, 3, 0, 1, 4, 6, 2, 5, 6, 6, 4, 3, 6, 6, 0, 1, 6,
    7, 15, 3, 4, 4, 5, 0, 3, 4, 6, 0, 1, 1, 6, 3, 6, 1, 3, 1, 4, 6, 0, 0, 5, 2, 3, 2, 4, 5, 6, 5, 2,
    7, 15, 0, 2, 0, 3, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 15, 0, 4, 0, 5, 0, 6, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 15, 3, 4, 5, 0, 0, 3, 0, 4, 4, 6, 1, 6, 3, 6, 1, 3, 1, 4, 6, 0, 1, 5, 2, 3, 2, 4, 5, 6, 5, 2,
    7, 15, 6, 4, 5, 2, 0, 3, 0, 4, 2, 4, 1, 6, 3, 6, 1, 3, 1, 4, 6, 0, 3, 5, 2, 3, 0, 1, 5, 6, 4, 5,
    7, 15, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 5, 1, 6, 2, 3, 2, 4, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 15, 0, 1, 0, 2, 0, 3, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 15, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 5, 1, 4, 5, 1, 0, 5, 2, 6, 2, 5, 6, 6, 1, 0, 6, 6, 4, 3, 6,
    7, 15, 3, 0, 3, 5, 3, 4, 2, 0, 2, 5, 2, 4, 1, 4, 1, 5, 1, 0, 6, 0, 1, 6, 6, 5, 3, 6, 6, 4, 2, 6,
    7, 15, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 15, 3, 4, 6, 2, 0, 3, 0, 4, 5, 0, 1, 6, 3, 6, 1, 3, 1, 4, 6, 0, 4, 5, 2, 3, 2, 4, 5, 1, 5, 2,
    7, 15, 3, 4, 6, 2, 0, 3, 0, 4, 5, 0, 5, 6, 3, 6, 1, 3, 1, 4, 0, 1, 4, 6, 2, 3, 2, 4, 5, 1, 5, 2,
    7, 15, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 6, 2, 1, 6, 6, 0, 4, 6, 5, 4, 0, 5, 3, 5, 6, 3, 5, 2, 1, 5,
    7, 16, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 1, 2, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 4, 5, 2, 6,
    7, 16, 3, 0, 4, 1, 4, 3, 1, 3, 4, 0, 2, 5, 6, 2, 5, 6, 1, 5, 4, 5, 3, 5, 0, 5, 0, 6, 3, 6, 4, 6, 6, 1,
    7, 16, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 6, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 16, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 16, 3, 4, 5, 1, 0, 3, 0, 4, 5, 0, 4, 6, 3, 6, 1, 3, 1, 4, 6, 0, 3, 5, 2, 3, 2, 4, 5, 6, 4, 5, 2, 5,
    7, 16, 2, 4, 3, 1, 3, 0, 4, 3, 4, 0, 5, 2, 4, 5, 5, 0, 3, 5, 5, 1, 6, 5, 1, 6, 3, 6, 6, 0, 4, 6, 6, 2,
    7, 16, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 16, 2, 4, 4, 1, 3, 0, 3, 1, 4, 0, 5, 2, 4, 5, 5, 0, 3, 5, 6, 5, 1, 5, 6, 1, 3, 6, 4, 6, 6, 2, 6, 0,
    7, 16, 0, 1, 0, 3, 0, 5, 0, 6, 1, 3, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 16, 2, 5, 0, 1, 4, 5, 1, 3, 5, 0, 4, 3, 5, 3, 2, 4, 1, 4, 3, 0, 6, 3, 2, 6, 6, 4, 5, 6, 6, 1, 0, 6,
    7, 16, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 3, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 4, 5, 4, 6, 5, 6,
    7, 16, 2, 5, 5, 1, 3, 1, 0, 4, 5, 0, 4, 3, 5, 3, 2, 4, 1, 4, 3, 0, 6, 2, 4, 6, 5, 6, 6, 1, 0, 6, 3, 6,
    7, 16, 1, 6, 0, 1, 0, 3, 0, 4, 5, 0, 4, 6, 3, 6, 1, 3, 1, 4, 6, 0, 3, 5, 2, 3, 2, 4, 5, 6, 4, 5, 2, 5,
    7, 16, 3, 4, 5, 1, 0, 3, 0, 4, 5, 0, 4, 6, 3, 6, 1, 3, 1, 4, 6, 0, 1, 6, 2, 3, 2, 4, 5, 6, 0, 1, 2, 5,
    7, 16, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5,
    7, 16, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 3, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 5, 6,
    7, 16, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 4, 1, 5, 1, 6, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 5, 6,
    7, 16, 2, 5, 5, 1, 3, 5, 0, 4, 0, 1, 4, 3, 3, 2, 2, 4, 1, 4, 0, 5, 6, 4, 2, 6, 6, 3, 5, 6, 6, 1, 0, 6,
    7, 16, 5, 6, 5, 1, 0, 3, 0, 4, 0, 1, 4, 6, 3, 6, 1, 3, 1, 4, 6, 0, 3, 5, 2, 3, 2, 4, 6, 2, 4, 5, 2, 5,
    7, 16, 3, 4, 5, 1, 0, 3, 0, 4, 0, 1, 4, 6, 3, 6, 1, 3, 1, 4, 6, 0, 5, 0, 2, 3, 2, 4, 6, 2, 6, 5, 2, 5,
    7, 16, 5, 0, 5, 1, 0, 3, 0, 4, 6, 1, 4, 6, 3, 6, 1, 3, 1, 4, 6, 0, 3, 5, 2, 3, 2, 4, 6, 2, 4, 5, 2, 5,
    7, 17, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 1, 2, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 4, 5, 6, 2, 1, 6,
    7, 17, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 4, 5, 4, 6,
    7, 17, 4, 0, 4, 3, 0, 1, 3, 0, 2, 4, 3, 1, 5, 3, 4, 5, 5, 2, 6, 5, 5, 0, 1, 5, 6, 1, 0, 6, 6, 4, 2, 6, 3, 6,
    7, 17, 0, 1, 5, 1, 5, 3, 0, 4, 5, 0, 4, 3, 3, 1, 2, 5, 1, 4, 3, 0, 2, 4, 6, 2, 5, 6, 6, 3, 1, 6, 6, 0, 4, 6,
    7, 17, 3, 4, 5, 1, 0, 3, 0, 4, 4, 5, 4, 6, 3, 6, 1, 3, 1, 4, 0, 1, 3, 5, 2, 3, 2, 4, 2, 5, 5, 0, 5, 6, 6, 2,
    7, 17, 3, 2, 4, 1, 0, 1, 3, 0, 2, 4, 4, 3, 5, 1, 4, 5, 5, 2, 0, 5, 5, 3, 6, 5, 2, 6, 6, 3, 0, 6, 1, 6, 4, 6,
    7, 17, 3, 2, 4, 1, 4, 0, 3, 0, 2, 4, 3, 1, 5, 2, 4, 5, 5, 0, 3, 5, 5, 1, 6, 5, 2, 6, 6, 0, 3, 6, 6, 4, 1, 6,
    7, 17, 3, 2, 5, 1, 5, 0, 0, 4, 0, 1, 4, 3, 5, 3, 2, 5, 1, 4, 3, 0, 2, 4, 6, 4, 5, 6, 6, 2, 3, 6, 6, 0, 1, 6,
    7, 17, 3, 2, 5, 1, 5, 0, 0, 4, 4, 5, 0, 1, 3, 1, 2, 5, 1, 4, 3, 0, 2, 4, 6, 0, 3, 6, 6, 1, 5, 6, 6, 2, 4, 6,
    7, 17, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 5, 3, 6, 4, 5, 4, 6,
    7, 18, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 1, 2, 1, 3, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 3, 4, 3, 5, 4, 5, 6, 1, 0, 6, 5, 6,
    7, 18, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6,
    7, 18, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 4, 1, 5, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 18, 0, 1, 0, 2, 0, 3, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 18, 4, 0, 4, 5, 3, 0, 3, 5, 2, 0, 2, 5, 1, 3, 1, 4, 1, 5, 1, 0, 2, 3, 2, 4, 6, 0, 5, 6, 6, 1, 2, 6, 6, 4, 3, 6,
    7, 19, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 19, 0, 1, 0, 2, 0, 3, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 20, 0, 1, 0, 2, 0, 3, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6,
    7, 21, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 5, 4, 6, 5, 6
];

#[rustfmt::skip]
pub(super) const ATLAS_EDGES_POS: &[u32] = &[
0, 2, 4, 6, 10, 12, 16, 22, 30, 32, 36, 42, 48, 56, 64, 72, 82, 92, 104, 118, 120, 124, 130, 136, 144, 152, 160, 168, 178, 188, 198, 208, 218, 228, 240, 252, 264, 276, 288, 300, 314, 328, 342, 356, 370, 384, 400, 416, 432, 448, 466, 484, 504, 526, 528, 532, 538, 544, 552, 560, 568, 576, 584, 594, 604, 614, 624, 634, 644, 654, 664, 674, 686, 698, 710, 722, 734, 746, 758, 770, 782, 794, 806, 818, 830, 842, 854, 868, 882, 896, 910, 924, 938, 952, 966, 980, 994, 1008, 1022, 1036, 1050, 1064, 1078, 1092, 1106, 1120, 1134, 1148, 1164, 1180, 1196, 1212, 1228, 1244, 1260, 1276, 1292, 1308, 1324, 1340, 1356, 1372, 1388, 1404, 1420, 1436, 1452, 1468, 1484, 1500, 1516, 1532, 1550, 1568, 1586, 1604, 1622, 1640, 1658, 1676, 1694, 1712, 1730, 1748, 1766, 1784, 1802, 1820, 1838, 1856, 1874, 1892, 1910, 1928, 1946, 1964, 1984, 2004, 2024, 2044, 2064, 2084, 2104, 2124, 2144, 2164, 2184, 2204, 2224, 2244, 2264, 2284, 2304, 2324, 2344, 2364, 2384, 2406, 2428, 2450, 2472, 2494, 2516, 2538, 2560, 2582, 2604, 2626, 2648, 2670, 2692, 2714, 2738, 2762, 2786, 2810, 2834, 2858, 2882, 2906, 2930, 2956, 2982, 3008, 3034, 3060, 3088, 3116, 3146, 3178, 3180, 3184, 3190, 3196, 3204, 3212, 3220, 3228, 3236, 3246, 3256, 3266, 3276, 3286, 3296, 3306, 3316, 3326, 3336, 3348, 3360, 3372, 3384, 3396, 3408, 3420, 3432, 3444, 3456, 3468, 3480, 3492, 3504, 3516, 3528, 3540, 3552, 3564, 3576, 3588, 3602, 3616, 3630, 3644, 3658, 3672, 3686, 3700, 3714, 3728, 3742, 3756, 3770, 3784, 3798, 3812, 3826, 3840, 3854, 3868, 3882, 3896, 3910, 3924, 3938, 3952, 3966, 3980, 3994, 4008, 4022, 4036, 4050, 4064, 4078, 4092, 4106, 4120, 4134, 4148, 4162, 4178, 4194, 4210, 4226, 4242, 4258, 4274, 4290, 4306, 4322, 4338, 4354, 4370, 4386, 4402, 4418, 4434, 4450, 4466, 4482, 4498, 4514, 4530, 4546, 4562, 4578, 4594, 4610, 4626, 4642, 4658, 4674, 4690, 4706, 4722, 4738, 4754, 4770, 4786, 4802, 4818, 4834, 4850, 4866, 4882, 4898, 4914, 4930, 4946, 4962, 4978, 4994, 5010, 5026, 5042, 5058, 5074, 5090, 5106, 5122, 5138, 5154, 5170, 5186, 5202, 5220, 5238, 5256, 5274, 5292, 5310, 5328, 5346, 5364, 5382, 5400, 5418, 5436, 5454, 5472, 5490, 5508, 5526, 5544, 5562, 5580, 5598, 5616, 5634, 5652, 5670, 5688, 5706, 5724, 5742, 5760, 5778, 5796, 5814, 5832, 5850, 5868, 5886, 5904, 5922, 5940, 5958, 5976, 5994, 6012, 6030, 6048, 6066, 6084, 6102, 6120, 6138, 6156, 6174, 6192, 6210, 6228, 6246, 6264, 6282, 6300, 6318, 6336, 6354, 6372, 6390, 6408, 6426, 6444, 6462, 6480, 6498, 6516, 6534, 6552, 6570, 6588, 6606, 6624, 6642, 6660, 6678, 6696, 6714, 6732, 6750, 6768, 6786, 6804, 6822, 6840, 6858, 6876, 6894, 6912, 6930, 6948, 6968, 6988, 7008, 7028, 7048, 7068, 7088, 7108, 7128, 7148, 7168, 7188, 7208, 7228, 7248, 7268, 7288, 7308, 7328, 7348, 7368, 7388, 7408, 7428, 7448, 7468, 7488, 7508, 7528, 7548, 7568, 7588, 7608, 7628, 7648, 7668, 7688, 7708, 7728, 7748, 7768, 7788, 7808, 7828, 7848, 7868, 7888, 7908, 7928, 7948, 7968, 7988, 8008, 8028, 8048, 8068, 8088, 8108, 8128, 8148, 8168, 8188, 8208, 8228, 8248, 8268, 8288, 8308, 8328, 8348, 8368, 8388, 8408, 8428, 8448, 8468, 8488, 8508, 8528, 8548, 8568, 8588, 8608, 8628, 8648, 8668, 8688, 8708, 8728, 8748, 8768, 8788, 8808, 8828, 8848, 8868, 8888, 8908, 8928, 8948, 8968, 8988, 9008, 9028, 9048, 9068, 9088, 9108, 9128, 9148, 9168, 9188, 9208, 9228, 9248, 9268, 9288, 9308, 9328, 9348, 9368, 9388, 9408, 9428, 9448, 9468, 9488, 9508, 9528, 9548, 9568, 9590, 9612, 9634, 9656, 9678, 9700, 9722, 9744, 9766, 9788, 9810, 9832, 9854, 9876, 9898, 9920, 9942, 9964, 9986, 10008, 10030, 10052, 10074, 10096, 10118, 10140, 10162, 10184, 10206, 10228, 10250, 10272, 10294, 10316, 10338, 10360, 10382, 10404, 10426, 10448, 10470, 10492, 10514, 10536, 10558, 10580, 10602, 10624, 10646, 10668, 10690, 10712, 10734, 10756, 10778, 10800, 10822, 10844, 10866, 10888, 10910, 10932, 10954, 10976, 10998, 11020, 11042, 11064, 11086, 11108, 11130, 11152, 11174, 11196, 11218, 11240, 11262, 11284, 11306, 11328, 11350, 11372, 11394, 11416, 11438, 11460, 11482, 11504, 11526, 11548, 11570, 11592, 11614, 11636, 11658, 11680, 11702, 11724, 11746, 11768, 11790, 11812, 11834, 11856, 11878, 11900, 11922, 11944, 11966, 11988, 12010, 12032, 12054, 12076, 12098, 12120, 12142, 12164, 12186, 12208, 12230, 12252, 12274, 12296, 12318, 12340, 12362, 12384, 12406, 12428, 12450, 12472, 12494, 12516, 12538, 12560, 12582, 12604, 12626, 12648, 12670, 12692, 12714, 12736, 12758, 12780, 12802, 12824, 12848, 12872, 12896, 12920, 12944, 12968, 12992, 13016, 13040, 13064, 13088, 13112, 13136, 13160, 13184, 13208, 13232, 13256, 13280, 13304, 13328, 13352, 13376, 13400, 13424, 13448, 13472, 13496, 13520, 13544, 13568, 13592, 13616, 13640, 13664, 13688, 13712, 13736, 13760, 13784, 13808, 13832, 13856, 13880, 13904, 13928, 13952, 13976, 14000, 14024, 14048, 14072, 14096, 14120, 14144, 14168, 14192, 14216, 14240, 14264, 14288, 14312, 14336, 14360, 14384, 14408, 14432, 14456, 14480, 14504, 14528, 14552, 14576, 14600, 14624, 14648, 14672, 14696, 14720, 14744, 14768, 14792, 14816, 14840, 14864, 14888, 14912, 14936, 14960, 14984, 15008, 15032, 15056, 15080, 15104, 15128, 15152, 15176, 15200, 15224, 15248, 15272, 15296, 15320, 15344, 15368, 15392, 15416, 15440, 15464, 15488, 15512, 15536, 15560, 15584, 15608, 15632, 15656, 15680, 15704, 15728, 15752, 15776, 15800, 15824, 15848, 15872, 15896, 15920, 15944, 15968, 15992, 16016, 16040, 16064, 16088, 16112, 16136, 16160, 16184, 16208, 16232, 16256, 16280, 16304, 16328, 16352, 16376, 16402, 16428, 16454, 16480, 16506, 16532, 16558, 16584, 16610, 16636, 16662, 16688, 16714, 16740, 16766, 16792, 16818, 16844, 16870, 16896, 16922, 16948, 16974, 17000, 17026, 17052, 17078, 17104, 17130, 17156, 17182, 17208, 17234, 17260, 17286, 17312, 17338, 17364, 17390, 17416, 17442, 17468, 17494, 17520, 17546, 17572, 17598, 17624, 17650, 17676, 17702, 17728, 17754, 17780, 17806, 17832, 17858, 17884, 17910, 17936, 17962, 17988, 18014, 18040, 18066, 18092, 18118, 18144, 18170, 18196, 18222, 18248, 18274, 18300, 18326, 18352, 18378, 18404, 18430, 18456, 18482, 18508, 18534, 18560, 18586, 18612, 18638, 18664, 18690, 18716, 18742, 18768, 18794, 18820, 18846, 18872, 18898, 18924, 18950, 18976, 19002, 19028, 19054, 19080, 19106, 19132, 19158, 19184, 19210, 19236, 19262, 19288, 19314, 19340, 19366, 19392, 19418, 19444, 19470, 19496, 19522, 19548, 19574, 19600, 19626, 19652, 19678, 19704, 19730, 19756, 19782, 19810, 19838, 19866, 19894, 19922, 19950, 19978, 20006, 20034, 20062, 20090, 20118, 20146, 20174, 20202, 20230, 20258, 20286, 20314, 20342, 20370, 20398, 20426, 20454, 20482, 20510, 20538, 20566, 20594, 20622, 20650, 20678, 20706, 20734, 20762, 20790, 20818, 20846, 20874, 20902, 20930, 20958, 20986, 21014, 21042, 21070, 21098, 21126, 21154, 21182, 21210, 21238, 21266, 21294, 21322, 21350, 21378, 21406, 21434, 21462, 21490, 21518, 21546, 21574, 21602, 21630, 21658, 21686, 21714, 21742, 21770, 21798, 21826, 21854, 21882, 21910, 21938, 21966, 21994, 22022, 22050, 22078, 22106, 22134, 22162, 22190, 22218, 22246, 22274, 22302, 22330, 22358, 22386, 22414, 22442, 22470, 22498, 22528, 22558, 22588, 22618, 22648, 22678, 22708, 22738, 22768, 22798, 22828, 22858, 22888, 22918, 22948, 22978, 23008, 23038, 23068, 23098, 23128, 23158, 23188, 23218, 23248, 23278, 23308, 23338, 23368, 23398, 23428, 23458, 23488, 23518, 23548, 23578, 23608, 23638, 23668, 23698, 23728, 23758, 23788, 23818, 23848, 23878, 23908, 23938, 23968, 23998, 24028, 24058, 24088, 24118, 24148, 24178, 24208, 24238, 24268, 24298, 24328, 24358, 24388, 24418, 24448, 24480, 24512, 24544, 24576, 24608, 24640, 24672, 24704, 24736, 24768, 24800, 24832, 24864, 24896, 24928, 24960, 24992, 25024, 25056, 25088, 25120, 25152, 25184, 25216, 25248, 25280, 25312, 25344, 25376, 25408, 25440, 25472, 25504, 25536, 25568, 25600, 25632, 25664, 25696, 25728, 25760, 25794, 25828, 25862, 25896, 25930, 25964, 25998, 26032, 26066, 26100, 26134, 26168, 26202, 26236, 26270, 26304, 26338, 26372, 26406, 26440, 26474, 26510, 26546, 26582, 26618, 26654, 26690, 26726, 26762, 26798, 26834, 26872, 26910, 26948, 26986, 27024, 27064, 27104, 27146
];