const std = @import("std");
const print = std.debug.print;

const Node = u16;
const Route = []Node;
const Edge = struct {
    left: Node,
    right: Node
};

const START_NODE = 0x0000;
const END_NODE = 0xffff;

fn parseNode(input: []const u8) Node {
    if (std.mem.eql(u8, input, "start")) return START_NODE;
    if (std.mem.eql(u8, input, "end")) return END_NODE;
    if (input.len == 1) return @intCast(u16, input[0]) << 8 | 0x20;
    return @intCast(u16, input[0]) << 8 | input[1];
}

fn isThereASmolDuplicate(list: []Node) bool {
    for (list) |node| {
        if (isSmol(node) and count(list, node) > 1) {
            return true;
        }
    }
    return false;
}

fn count(list: []Node, x: Node) u32 {
    var res: u32 = 0;
    for (list) |node| {
        if (node == x) {
            res += 1;
            if (res == 2) {
                return 2;
            }
        }
    }
    return res;
}

fn isForbiddenSmol(list: []Node, x: Node) bool {
    if (isThereASmolDuplicate(list)) {
        for (list) |node| {
            if (node == x) {
                return true;
            }
        }
        return false;
    } else if (x == START_NODE) {
        return true;
    } else {
        return count(list, x) > 1;
    }
}

fn getOther(edge: Edge, node: Node) ?Node {
    if (edge.left == node) {
        return edge.right;
    }
    if (edge.right == node) {
        return edge.left;
    }
    return null;
}

fn isSmol(node: Node) bool {
    return (node & 0x2020) == 0x2020 or node == START_NODE or node == END_NODE;
}

pub fn main() !void {
    var alloc = std.heap.GeneralPurposeAllocator(.{}){};
    defer std.debug.assert(!alloc.deinit());
    var gpa = &alloc.allocator;

    const stdin = std.io.getStdIn().reader();

    var res: u32 = 0;

    var edges = std.ArrayList(Edge).init(gpa);
    defer edges.deinit();

    var input = try stdin.readAllAlloc(gpa, 4096);
    defer gpa.free(input);

    var lines = std.mem.split(input, "\n");
    while (lines.next()) |line| {
        var it = std.mem.split(line, "-");
        var left = it.next() orelse unreachable;
        var right = it.next() orelse unreachable;
        var leftInt = parseNode(left);
        var rightInt = parseNode(right);

        try edges.append(Edge{
            .left = leftInt,
            .right = rightInt,
        });
    }

    var routes = std.ArrayList(Route).init(gpa);
    defer {
        for (routes.items) |route| {
            gpa.free(route);
        }
        routes.deinit();
    }
    {
        var route = try gpa.alloc(Node, 1);
        route[0] = START_NODE;
        try routes.append(route);
    }

    var x: u8 = 0;

    while (x < 1000) : (x += 1) {
        var cont = false;

        var newRoutes = std.ArrayList(Route).init(gpa);
        defer newRoutes.deinit();

        var stale = std.ArrayList(usize).init(gpa);
        defer stale.deinit();

        // print("Routes ({}):\n", .{routes.items.len});
        // for (routes.items) |route| {
        //     print("{any}\n", .{route.items});
        // }

        for (routes.items) |route, i| {
            const last = route[route.len - 1];
            if (last == END_NODE) {
                continue;
            }
            cont = true;
            try stale.append(i);

            for (edges.items) |edge| {
                if (getOther(edge, last)) |other| {
                    // print("> {s}\n", .{other});
                    if (isSmol(other) and isForbiddenSmol(route, other)) {
                        continue;
                    } else {
                        var newRoute = try gpa.alloc(Node, route.len+1);
                        std.mem.copy(Node, newRoute, route);
                        newRoute[route.len] = other;
                        // print("new route: {s}\n", .{newRoute.items});
                        try newRoutes.append(newRoute);
                    }
                }
            }
        }

        // print("Removed routes: {}\n", .{stale.items.len});
        // print("Added routes: {}\n", .{newRoutes.items.len});

        var i: usize = 0;
        while (i < stale.items.len) : (i += 1) {
            var route = routes.swapRemove(stale.items[stale.items.len-1-i]);
            gpa.free(route);
        }

        try routes.appendSlice(newRoutes.items);

        if (!cont) break;
    }

    std.debug.print("{}\n", .{routes.items.len});
}