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"Player 0x40ba72637962bbeb3da5c36780ff8adea7e9cdfb submitted 'schnoin…
…g' for challenge satisfiability"
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0x40ba72637962bbeb3da5c36780ff8adea7e9cdfb
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Apr 23, 2024
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use rand::{rngs::StdRng, Rng, SeedableRng}; | ||
use tig_challenges::satisfiability::*; | ||
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pub fn solve_challenge(challenge: &Challenge) -> anyhow::Result<Option<Solution>> { | ||
let mut rng = StdRng::seed_from_u64(challenge.seed as u64); | ||
let num_variables = challenge.difficulty.num_variables; | ||
let mut variables: Vec<bool> = (0..num_variables).map(|_| rng.gen::<bool>()).collect(); | ||
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// Pre-generate a bunch of random integers | ||
// IMPORTANT! When generating random numbers, never use usize! usize bytes varies from system to system | ||
let rand_ints: Vec<usize> = (0..2 * num_variables) | ||
.map(|_| rng.gen_range(0..1_000_000_000u32) as usize) | ||
.collect(); | ||
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for i in 0..num_variables { | ||
// Evaluate clauses and find any that are unsatisfied | ||
let substituted: Vec<bool> = challenge | ||
.clauses | ||
.iter() | ||
.map(|clause| { | ||
clause.iter().any(|&literal| { | ||
let var_idx = literal.abs() as usize - 1; | ||
let var_value = variables[var_idx]; | ||
(literal > 0 && var_value) || (literal < 0 && !var_value) | ||
}) | ||
}) | ||
.collect(); | ||
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let unsatisfied_clauses: Vec<usize> = substituted | ||
.iter() | ||
.enumerate() | ||
.filter_map(|(idx, &satisfied)| if !satisfied { Some(idx) } else { None }) | ||
.collect(); | ||
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let num_unsatisfied_clauses = unsatisfied_clauses.len(); | ||
if num_unsatisfied_clauses == 0 { | ||
break; | ||
} | ||
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// Flip the value of a random variable from a random unsatisfied clause | ||
let rand_unsatisfied_clause_idx = rand_ints[2 * i] % num_unsatisfied_clauses; | ||
let rand_unsatisfied_clause = unsatisfied_clauses[rand_unsatisfied_clause_idx]; | ||
let rand_variable_idx = rand_ints[2 * i + 1] % 3; | ||
let rand_variable = | ||
challenge.clauses[rand_unsatisfied_clause][rand_variable_idx].abs() as usize - 1; | ||
variables[rand_variable] = !variables[rand_variable]; | ||
} | ||
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Ok(Some(Solution { variables })) | ||
} |