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path: root/day19/solution.zig
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const std = @import("std");
const print = std.debug.print;
const assert = std.debug.assert;
const ArrayList = std.ArrayList;
const HashMap = std.HashMap;
const mem = std.mem;

const fin = mem.trim(u8, @embedFile("./input.txt"), &std.ascii.whitespace);
var gpa = std.heap.GeneralPurposeAllocator(.{}){};
const allocator = gpa.allocator();

const Condition = struct {
    let: u64,
    islt: bool,
    thresh: u64,

    pub fn check(self: @This(), val: u64) bool {
        return if (self.islt) val < self.thresh else val > self.thresh;
    }
};

const Rule = struct {
    cond: ?Condition,
    res: []const u8,

    fn parseCondition(s: []const u8) Condition {
        var splitCond = mem.tokenizeAny(u8, s, "<>");
        const let: u64 = switch (splitCond.next().?[0]) {
            'x' => 0,
            'm' => 1,
            'a' => 2,
            's' => 3,
            else => unreachable,
        };
        const islt = mem.count(u8, s, "<") != 0;
        const thresh = std.fmt.parseInt(u64, splitCond.next().?, 10) catch unreachable;

        return Condition{
            .let = let,
            .islt = islt,
            .thresh = thresh,
        };
    }

    pub fn parse(s: []const u8) Rule {
        var splitRule = mem.tokenizeScalar(u8, s, ':');
        const first = splitRule.next().?;
        const second = splitRule.next();

        return if (second) |resStr|
            Rule{
                .cond = parseCondition(first),
                .res = resStr,
            }
        else
            Rule{
                .cond = null,
                .res = first,
            };
    }

    pub fn check(self: @This(), ratings: Ratings) ?[]const u8 {
        if (self.cond) |cond| {
            return if (cond.check(ratings[cond.let])) self.res else null;
        }
        return self.res;
    }

    pub fn getNext(list: RuleList, ratings: Ratings) []const u8 {
        for (list) |rule| {
            const res = rule.check(ratings) orelse continue;

            return res;
        }

        unreachable;
    }

    pub fn rangeCombs(rules: RuleGraph, curr: []const u8, ranges: Ranges) u64 {
        if (mem.eql(u8, curr, "A")) {
            var res: u64 = 1;
            for (ranges) |r| {
                res *= r[1] - r[0] + 1;
            }
            return res;
        } else if (mem.eql(u8, curr, "R")) {
            return 0;
        }

        var ans: u64 = 0;
        var ranges_rej: Ranges = undefined;
        @memcpy(&ranges_rej, &ranges);

        const rule_list = rules.get(curr).?;
        for (rule_list) |rule| {
            if (rule.cond) |cond| {
                const thresh = cond.thresh;
                const l = ranges[cond.let][0];
                const r = ranges[cond.let][1];
                var ranges_suc: Ranges = undefined;
                @memcpy(&ranges_suc, &ranges_rej);

                if (cond.islt) {
                    ranges_suc[cond.let] = nextRange(
                        ranges_suc[cond.let],
                        .{ l, thresh - 1 },
                    );
                    ranges_rej[cond.let] = nextRange(
                        ranges_rej[cond.let],
                        .{ thresh, r },
                    );
                } else {
                    ranges_suc[cond.let] = nextRange(
                        ranges_suc[cond.let],
                        .{ thresh + 1, r },
                    );
                    ranges_rej[cond.let] = nextRange(
                        ranges_rej[cond.let],
                        .{ l, thresh },
                    );
                }
                ans += rangeCombs(rules, rule.res, ranges_suc);
            } else {
                ans += rangeCombs(rules, rule.res, ranges_rej);
            }
        }

        return ans;
    }
};

const Range = [2]u64;
const Ranges = [4]Range;
const Ratings = []u64;
const RuleList = []const Rule;
const RuleGraph = std.StringHashMap(RuleList);

fn nextRange(lhs: Range, rhs: Range) Range {
    return Range{
        @max(lhs[0], rhs[0]),
        @min(lhs[1], rhs[1]),
    };
}

pub fn solve(rules: RuleGraph, parts: []const Ratings) !void {
    var part1: u64 = 0;
    for (parts) |ratings| {
        var curr: []const u8 = "in";

        const accepted = while (true) {
            if (mem.eql(u8, curr, "A")) {
                break true;
            } else if (mem.eql(u8, curr, "R")) {
                break false;
            }
            curr = Rule.getNext(rules.get(curr).?, ratings);
        };

        if (accepted) {
            for (ratings) |r| {
                part1 += r;
            }
        }
    }

    print("{d}\n", .{part1});

    const ranges = [_]Range{Range{ 1, 4000 }} ** 4;
    const ans = Rule.rangeCombs(rules, "in", ranges);

    print("{d}\n", .{ans});
}

pub fn main() !void {
    var segments = mem.tokenizeSequence(u8, fin, "\n\n");
    var splitRules = mem.tokenizeScalar(u8, segments.next().?, '\n');
    var splitWorkflows = mem.tokenizeScalar(u8, segments.next().?, '\n');
    var allRules = RuleGraph.init(allocator);
    var parts = ArrayList(Ratings).init(allocator);

    while (splitRules.next()) |line| {
        var list = mem.tokenizeAny(u8, line, "{},");
        const id = list.next().?;
        var rules = ArrayList(Rule).init(allocator);

        while (list.next()) |ruleStr| {
            try rules.append(Rule.parse(ruleStr));
        }
        try allRules.put(id, rules.items);
    }

    while (splitWorkflows.next()) |line| {
        var splitRatings = mem.tokenizeAny(u8, line, "{=,xmas}");
        var ratings = ArrayList(u64).init(allocator);

        while (splitRatings.next()) |r| {
            try ratings.append(try std.fmt.parseInt(u64, r, 10));
        }

        try parts.append(ratings.items);
    }

    try solve(allRules, parts.items);
}