data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAAB4CAYAAAB1ovlvAAAJc0lEQVR4Xu2dCUxV2RnHv8eissomiLhEAzhqGAjqkGlTcaaTRo3r6LgjbuhIwNp2JtPYLY0xbdKmi1q1ErBQEHG0arQmTTTVpk4kFJGBAi7FFRTZJXVB3qP5zgsn0ql623n3fq/v/U9iQHic75zf+eU777x7z7m2/v7+fkIBASECNggoRB5hFQEICBFECUBAUfwIDgHhgCgBCCiKH8EhIBwQJQABRfEjOASEA6IEIKAofgSHgHBAlMB/JeD9+/fp9u3bljd43LhxFBsba3lcBDSfgCEBnz59SpcvX6a4uDiy2Wzmt+rfIvDl6qamJkpNTaVhw4ZZHh8BzSNgSMDy8nKKiYlR8hUXF9OGDRuIpRwoV65coaSkJPL19VU/qq+vp5SUFHr27BmdOHGCFi1aRL29vTRkyBBimbie58+fq+/9/f11Pfzzgd//p68tLS2UlpZmHg3UbDkBQwKeOXOGJk2apBq3c+dOCg0NpfPnz9OYMWNo48aNdPr0aWpra6OAgAC6e/euei0Lm5+fr2Rdu3YtzZkzhxYuXEiXLl2i6Ohoevz4MV27dk3JGRgYSJs2baInT568EgCLzfWgeA4BQwKyYJMnT1a9bmhooMbGRpXFurq6aOrUqfTw4UNqb2+nyMhIGjFiBPX09KgM2d3dTYmJiZSQkKCm8KioKJUJ+/r6qKOjg8LCwtS/c+fOUUZGxmup1tXV0dy5c1/7Orzg/4eAIQFPnTqlM6Cru8bTe3p6+qAp/WUxOAPOmzfP1U1AfYIEDAl48uRJnQE7mxqp7o8F9KyjmZ6GxNGTsAkubb7N0UfBrbXk19tDgcHB9FbWT8lnaKCKwRlwwYIFLo2HymQJGBKQFxL8vo6n3c/yfkDz/Kqo7s1cGvuV+aa0vqujjborT1Pq9XzqTsmgf07NVIsTzoD8PhLFcwgYEvD48eN6Cr7wsyya8vbXafR7a02lwMJ1H8yi6Mlp9CjF+f6QBeRFC4rnEDAk4LFjx/QU/Jefb6K4RZ/o/5uJwuf8r8k/IEgLyFPw4sWLzQyJui0mYEjAo0eP6gz41198SLELPrZEwODKQuqz26k7eZXOgEuWLLEYEcKZScCQgEeOHNHCXfzlFho5/yPTVsUvdjbkctEgATkDLl261EweqNtiAoYELCsr0wJ+9qtsip77bUsEDK36Pdkddup605kBWcBly5ZZjAjhzCRgSMDDhw9r4S7tyqGoOdssEXB4dTHZ7Q7qTFqhp+Dly5ebyQN1W0zAkICHDh3SGbB8dy5FzNqqP5Z51bXb113bfd3vwz4vGSQgZ8CVK1dajAjhzCRgSMCSkhKd8Sp+800K+0aOJYsQFtDhcFD7FGfW449hVq1yTsconkHAkIB8B8zAzQh/27uNQt/LtkTA8JpDXxBw9erVnkEevVAEDAlYVFSkhavc9y0KfvdDSwSMqC0lh6Of2qc4Fx48Ba9ZswZD50EEDAlYWFioM2DVb79DQe9stmQREvn3w+oSXOsk50cvPAVnZmZ6EH50xZCABw8e1BnvyoGPKCA9yxIBo+rKBgnIGXDdunUYNQ8iYEjAgoICveqtzvuYhn5tgyWr4Oj6T8mhMuAH+maE9evXexB+dMWQgHxn88AipCb/E/L/6jpLBIxpOKoEfPiG8/IbT8F8hzWK5xAwJGBeXp6egmsLvku+b2dasghhAfupn1omOgXkKTgrK8tz6KMnxlbBBw4c0Bmw7nfbyZaWYYqAVVVVtHXrVjUsu3btotmBjcTHtz5IfF9nQN47guI5BAxlwP3792vh6gu/R/TWaiVkc3MzjRo1yqU0eIcdF96C6cyAgwXcvHmzS+OhMlkChgTct2+ffs/XUPR9ckxbqbZc8v4M3i/CWzAHyo0bNyg+Pv4LveJ9vbxrLiIiQv+OZRs9erTarPRi4Y1KLHd805+IbET3E97Xi5AtW7bIEkN0lxIwJODevXv1FHyt+IfUl7qcfHx81FZMlmfixIm6UVevXlVbM/kS2rRp0+jWrVtqF9y9e/do5syZalsmb0IKCgqis2fPqn2+ISEh+u9Zvurqaho/fjzFXv8Df1ZOzfHO2/B5EZKdne1SAKhMloAhAffs2aOn4OslP6LelKVUWVmpjumYNWuWEm3gpgTe63vx4kUlJV+33b59u9ojzJmPZSstLVUCjh07lvgKy4wZM5Rs/Pfh4eFKvuTkZOJjQIIq8ik2bowWkBchOTk5ssQQ3aUEDAm4e/dunQH/UfpjShgVTvTONrpz544SyW6360axRC8WnmZ5vzCfnMCv478ZPny42jPMXzmTdnZ2qu9ra2vV62pqatR0nVz5E/JJTKd7E5w74TgD5ubmuhQAKpMlYEhAzloD79May3bQqshbVO6fTJ9HvmtK66N8H1PS7U8p3q+D7k6YrwXkKX/FCue9gSieQcCQgDytVlRUqFMPIntbKGlom2W9/3NPDNmCo6i1tZWmT5+uTlpA8RwChgTk7t68eVOdUDVy5EjLe//gwQN1Mhe/V0TxLAKGBfSsbqM37kIAArrLSHhpOyCglw68u3QbArrLSHhpOyCglw68u3QbArrLSHhpOyCglw68u3QbArrLSHhpOyCglw68u3QbArrLSHhpOyCglw68u3QbArrLSHhpOyCglw68u3QbArrLSHhpOyDgSwaez8Xmpz/Nnj1b3fWNYg4BCPgSro8ePVLPweOHKvLNsHwntp+fnzocCU/sdJ2MEPAVLC9cuEA7duwYtGuPX84PVeQHMPJGKmwR+HIyQsD/QUDeE83nFPKGKpzaDwG/HAGDUzCfTc1TMB8P9+Izjk0J7kWVIgNiESKqOwQUxY/gEBAOiBKAgKL4ERwCwgFRAhBQFD+CQ0A4IEoAAoriR3AICAdECUBAUfwIDgHhgCgBCCiKH8EhIBwQJQABRfEjOASEA6IEIKAofgSHgHBAlAAEFMWP4BAQDogSgICi+BEcAsIBUQIQUBQ/gkNAOCBKAAKK4kdwCAgHRAlAQFH8CA4B4YAoAQgoih/BISAcECUAAUXxIzgEhAOiBCCgKH4Eh4BwQJQABBTFj+AQEA6IEoCAovgRHALCAVECEFAUP4JDQDggSgACiuJHcAgIB0QJQEBR/AgOAeGAKAEIKIofwSEgHBAlAAFF8SM4BIQDogQgoCh+BIeAcECUAAQUxY/gEBAOiBKAgKL4ERwCwgFRAhBQFD+CQ0A4IEoAAoriR3AICAdECUBAUfwI/i9/6CXk0DFP7AAAAABJRU5ErkJggg==data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAFoCAYAAACPNyggAAAOhUlEQVR4Xu3VwQkAAAjEMN1/abewn7jAQRC64wgQIECAAIF3gX1fNEiAAAECBAiMAHsCAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQIHLFxAWmhEwHPAAAAAElFTkSuQmCCWrite a recursive reporter to implement the mathematical operation called "factorial"