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

const Node = []const u8;
const Route = std.ArrayList(Node);
const Edge = struct {
    left: Node,
    right: Node
};

fn contains(list: []Node, x: Node) bool {
    for (list) |node| {
        if (std.mem.eql(u8, node, x)) {
            return true;
        }
    }
    return false;
}

fn getOther(edge: Edge, node: Node) ?Node {
    if (std.mem.eql(u8, edge.left, node)) {
        return edge.right;
    }
    if (std.mem.eql(u8, edge.right, node)) {
        return edge.left;
    }
    return null;
}

fn isSmol(node: Node) bool {
    for (node) |rune| {
        if (!std.ascii.isLower(rune)) return false;
    }

    return true;
}

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;

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

    var routes = std.ArrayList(Route).init(gpa);
    defer {
        for (routes.items) |route| {
            route.deinit();
        }
        routes.deinit();
    }
    {
        var route = Route.init(gpa);
        try route.append("start");
        try routes.append(route);
    }

    // var x: u8 = 0;

    while (true) {
        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("{s}\n", .{route.items});
        // }

        for (routes.items) |route, i| {
            const last = route.items[route.items.len - 1];
            if (std.mem.eql(u8, last, "end")) {
                continue;
            }
            cont = true;
            try stale.append(i);

            for (edges.items) |edge| {
                if (getOther(edge, last)) |other| {
                    // print("> {s}\n", .{other});
                    if (isSmol(other) and contains(route.items, other)) {
                        continue;
                    } else {
                        var newRoute = Route.init(gpa);
                        try newRoute.appendSlice(route.items);
                        try newRoute.append(other);
                        // print("new route: {s}\n", .{newRoute.items});
                        try newRoutes.append(newRoute);
                    }
                }
            }
        }

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

        try routes.appendSlice(newRoutes.items);

        if (!cont) break;
    }

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