#!/usr/bin/env python3
sol = {
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    1739: [11, 7, 4, 1],
    1740: [12, -11, 10, 7],
    1741: [13, -8, 4, -2],
    1742: [14, -10, -1, -1],
    1743: [14, -10, -1],
    1744: [14, -10],
    1745: [14, -10, 1],
    1746: [120, -115, -59],
    1747: [12, 3, -2],
    1748: [12, 3, -2, 1],
    1749: [13, -8, 4],
    1750: [10, 7, 7, 4],
    1751: [14, -10, 2, -1],
    1752: [14, -10, 2],
    1753: [9, 8, 8],
    1754: [12, 3, -1],
    1755: [12, 3],
    1756: [10, 9, 3],
    1757: [18, -14, -11],
    1758: [9, 7, 7, 7],
    1759: [16, -14, 7, 4],
    1760: [14, -10, 2, 2],
    1761: [9, 8, 8, 2],
    1762: [10, 8, 5, 5],
    1763: [11, 6, 6],
    1764: [27, -26, -7],
    1765: [12, 4, -3],
    1766: [-59, 57, 28],
    1767: [-23, 19, 19, 6],
    1768: [-44, 40, 28, 10],
    1769: [23, -22, 5, 5],
    1770: [14, -10, 3, -1],
    1771: [14, -10, 3],
    1772: [15, -12, 5],
    1773: [21, -20, 8],
    1774: [16, -13, -5],
    1775: [10, 7, 6, 6],
    1776: [-74, 70, 40],
    1777: [16, -11, -11, 7],
    1778: [11, 8, -4, -1],
    1779: [11, 8, -4],
    1780: [-591, 539, 368],
    1781: [429, -426, -118],
    1782: [12, 3, 3],
    1783: [10, 9, 3, 3],
    1784: [10, 10, -6],
    1785: [28, -23, -20],
    1786: [28, -23, -20, 1],
    1787: [11, 8, -4, 2],
    1788: [12, 5, -4, -1],
    1789: [12, 5, -4],
    1790: [13, -7, -4],
    1791: [12, 4, -1],
    1792: [12, 4],
    1793: [10, 9, 4],
    1794: [10, 9, 4, 1],
    1795: [58, -56, -26, -5],
    1796: [-13, 11, 11, 11],
    1797: [-211, 203, 101],
    1798: [-37, 32, 27],
    1799: [11, 7, 5],
    1800: [12, 4, 2],
    1801: [25, -24],
    1802: [25, -24, 1],
    1803: [13, -9, 7, -2],
    1804: [43, -32, -32, -23],
    1805: [14, -10, 5, -4],
    1806: [83, -70, -61],
    1807: [39, -37, -19],
    1808: [14, -10, 4],
    1809: [25, -24, 2],
    1810: [13, -8, 5],
    1811: [13, -9, 7],
    1812: [73, -62, -53],
    1813: [13, -8, 4, 4],
    1814: [14, -13, 11, -4],
    1815: [-259, 239, 155],
    1816: [11, 8, -3],
    1817: [17, -16, 10],
    1818: [33, -28, -23],
    1819: [11, 10, -8],
    1820: [-209, 196, 117],
    1821: [19, -17, -5],
    1822: [13, -5, -5, -5],
    1823: [26, -25, -4, -4],
    1824: [11, 8, -3, 2],
    1825: [-18, 17, 14],
    1826: [12, 5, -3],
    1827: [13, -7, -3],
    1828: [15, -11, -6],
    1829: [13, -6, -5, -3],
    1830: [33, -32, -11, -2],
    1831: [10, 10, -8, 7],
    1832: [20, -16, -13, 5],
    1833: [65, -64, -22],
    1834: [113, -106, -63],
    1835: [11, 8, -2],
    1836: [11, 8, -2, 1],
    1837: [-17, 15, 15],
    1838: [33, -32, -11],
    1839: [-233, 208, 154],
    1840: [16, -14, 10, -8],
    1841: [11, 8, -1, -1],
    1842: [11, 8, -1],
    1843: [11, 8],
    1844: [11, 8, 1],
    1845: [12, 5, -2],
    1846: [13, -7, -2],
    1847: [-92, 79, 66],
    1848: [10, 10, -5, -3],
    1849: [28, -23, -20, 4],
    1850: [17, -13, -13, 11],
    1851: [11, 8, 2],
    1852: [12, 5, -1],
    1853: [12, 5],
    1854: [13, -7],
    1855: [10, 8, 7],
    1856: [12, 4, 4],
    1857: [10, 9, 4, 4],
    1858: [13, -11, 10, -2],
    1859: [11, 8, 2, 2],
    1860: [18, -16, 5, -1],
    1861: [12, 5, 2],
    1862: [13, -7, 2],
    1863: [15, -10, -8],
    1864: [16, -14, 8],
    1865: [25, -24, 4],
    1866: [13, -11, 10],
    1867: [10, 10, -5, -2],
    1868: [14, -10, 5, -1],
    1869: [14, -10, 5],
    1870: [11, 8, 3],
    1871: [357, -339, -187],
    1872: [16, -13, -3],
    1873: [24, -23, 6],
    1874: [-959, 937, 390],
    1875: [10, 10, -5],
    1876: [10, 10, -5, 1],
    1877: [14, -10, 5, 2],
    1878: [14, -13, 11],
    1879: [-94, 78, 71],
    1880: [12, 5, 3],
    1881: [13, -7, 3],
    1882: [19, -17, -4],
    1883: [-92, 91, 30],
    1884: [-29, 25, 22],
    1885: [19, -17, -5, 4],
    1886: [14, -13, 11, 2],
    1887: [26, -25, -4],
    1888: [11, 6, 6, 5],
    1889: [14, -8, -7],
    1890: [11, 7, 6],
    1891: [16, -13, -2],
    1892: [15, -11, -5, -3],
    1893: [64, -59, -38],
    1894: [-23, 19, 19, 7],
    1895: [26, -25, -4, 2],
    1896: [12, 8, -7, -1],
    1897: [12, 8, -7],
    1898: [16, -13, -1],
    1899: [16, -13],
    1900: [16, -13, 1],
    1901: [13, -8, 6],
    1902: [10, 7, 7, 6],
    1903: [13, -8, 7, -5],
    1904: [-16, 14, 14, 8],
    1905: [29, -25, -19],
    1906: [23, -21, -10],
    1907: [11, 8, 4],
    1908: [-95, 83, 66],
    1909: [-36, 34, 21],
    1910: [-50, 49, 21],
    1911: [15, -11, -5, -2],
    1912: [58, -56, -26, -2],
    1913: [14, -10, 8, -7],
    1914: [21, -19, -10, 8],
    1915: [11, 8, 4, 2],
    1916: [12, 6, -3, -1],
    1917: [12, 5, 4],
    1918: [13, -7, 4],
    1919: [15, -11, -5],
    1920: [58, -56, -26],
    1921: [58, -56, -26, 1],
    1922: [-22, 17, 17, 14],
    1923: [-415, 413, 101],
    1924: [26, -25, -3],
    1925: [14, -11, 8],
    1926: [13, -10, 9],
    1927: [-17, 16, 14],
    1928: [-20, 18, 16],
    1929: [-20, 18, 16, 1],
    1930: [13, -11, 10, 4],
    1931: [44, -37, -28, -22],
    1932: [77, -76, -25],
    1933: [11, 11, -9],
    1934: [71, -62, -49],
    1935: [11, 9, -5],
    1936: [10, 10, -4],
    1937: [-39, 34, 28],
    1938: [19, -17, -2],
    1939: [10, 10, -5, 4],
    1940: [77, -76, -25, 2],
    1941: [11, 11, -9, 2],
    1942: [-87, 86, 29],
    1943: [12, 6, -1],
    1944: [12, 6],
    1945: [10, 9, 6],
    1946: [19, -17],
    1947: [13, -5, -5],
    1948: [13, -5, -5, 1],
    1949: [26, -25, -1, -1],
    1950: [26, -25, -1],
    1951: [26, -25],
    1952: [12, 6, 2],
    1953: [17, -14, -6],
    1954: [13, -6, -3],
    1955: [-104, 91, 72],
    1956: [-68, 67, 25],
    1957: [-29, 28, 13, 13],
    1958: [20, -19, 17, -16],
    1959: [26, -25, 2],
    1960: [14, -10, 6],
    1961: [-60, 57, 32],
    1962: [15, -14, 11],
    1963: [16, -13, 4],
    1964: [13, -8, 7, -4],
    1965: [10, 10, -3, -2],
    1966: [34, -32, -17, 7],
    1967: [-19, 17, 17, -10],
    1968: [11, 8, 5],
    1969: [9, 8, 8, 6],
    1970: [9, 9, 8],
    1971: [12, 6, 3],
    1972: [-291, 271, 168],
    1973: [10, 10, -3],
    1974: [10, 10, -3, 1],
    1975: [28, -26, -14, 7],
    1976: [11, 8, 5, 2],
    1977: [32, -31, -10],
    1978: [12, 5, 5],
    1979: [13, -7, 5],
    1980: [13, -6, -1],
    1981: [13, -6],
    1982: [13, -6, 1],
    1983: [13, -6, 1, 1],
    1984: [10, 10, -2, -2],
    1985: [32, -31, -10, 2],
    1986: [12, 5, 5, 2],
    1987: [17, -13, -9],
    1988: [11, 10, -7],
    1989: [13, -6, 2],
    1990: [15, -12, 7],
    1991: [10, 10, -2, -1],
    1992: [10, 10, -2],
    1993: [10, 10, -2, 1],
    1994: [14, -7, -7, -4],
    1995: [11, 8, 5, 3],
    1996: [11, 9, -4],
    1997: [9, 9, 8, 3],
    1998: [10, 10, -1, -1],
    1999: [10, 10, -1],
    2000: [10, 10],
    2001: [10, 10, 1],
    2002: [10, 10, 1, 1],
    2003: [14, -13, 11, 5],
    2004: [11, 9, -4, 2],
    2005: [624, -514, -475],
    2006: [-681, 663, 290],
    2007: [12, 7, -4],
    2008: [10, 10, 2],
    2009: [882, -719, -680],
    2010: [19, -17, 4],
    2011: [13, -5, -5, 4],
    2012: [26, -25, 5, -4],
    2013: [14, -9, -1, -1],
    2014: [14, -9, -1],
    2015: [14, -9],
    2016: [14, -8, -6],
    2017: [11, 7, 7],
    2018: [11, 7, 7, 1],
    2019: [-845, 814, 400],
    2020: [13, -8, 7, -2],
    2021: [38, -37, -13, -1],
    2022: [38, -37, -13],
    2023: [14, -9, 2],
    2024: [10, 8, 8],
    2025: [16, -12, -7],
    2026: [-75, 72, 37],
    2027: [10, 10, 3],
    2028: [13, -8, 7],
    2029: [10, 7, 7, 7],
    2030: [17, -13, -7, -7],
    2031: [23, -22, 8],
    2032: [15, -10, -7],
    2033: [11, 9, -3],
    2034: [19, -16, -9],
    2035: [10, 10, 3, 2],
    2036: [15, -11, -2],
    2037: [13, -5, -3, -2],
    2038: [16, -14, 7, 7],
    2039: [23, -22, 8, 2],
    2040: [884, -754, -640],
    2041: [11, 9, -3, 2],
    2042: [14, -9, 3],
    2043: [15, -11, -1],
    2044: [15, -11],
    2045: [13, -5, -3],
    2046: [13, -5, -3, 1],
    2047: [127, -122, -56, -38],
    2048: [8, 8, 8, 8],
    2049: [-15, 14, 14, -4],
    2050: [17, -15, 8],
    2051: [35, -30, -24],
    2052: [11, 9, -2],
    2053: [28, -27, -6],
    2054: [10, 10, 3, 3],
    2055: [12, 7, -2, -2],
    2056: [13, -5, -2, -2],
    2057: [14, -7, -7, -1],
    2058: [14, -7, -7],
    2059: [11, 8, 6],
    2060: [11, 9],
    2061: [11, 9, 1],
    2062: [31, -30, -9],
    2063: [12, 7, -2],
    2064: [10, 10, 4],
    2065: [10, 10, 4, 1],
    2066: [14, -7, -7, 2],
    2067: [11, 8, 6, 2],
    2068: [11, 9, 2],
    2069: [12, 6, 5],
    2070: [12, 7, -1],
    2071: [12, 7],
    2072: [13, -5],
    2073: [13, -5, 1],
    2074: [13, -5, 1, 1],
    2075: [14, 11, -10, -10],
    2076: [26, -25, 5],
    2077: [12, 6, 5, 2],
    2078: [33, -30, -19],
    2079: [12, 7, 2],
    2080: [13, -5, 2],
    2081: [16, -14, 9],
    2082: [13, -11, 10, 6],
    2083: [-119, 115, 55, -2],
    2084: [17, -16, 11, -4],
    2085: [14, -7, -7, 3],
    2086: [62, -61, -21],
    2087: [11, 9, 3],
    2088: [18, -14, -10],
    2089: [121, -96, -96],
    2090: [874, -869, -225],
    2091: [-119, 115, 55],
    2092: [13, -8, 7, 4],
    2093: [11, 8, 5, 5],
    2094: [29, -28, -7],
    2095: [-241, 240, 56],
    2096: [16, -10, -10],
    2097: [13, -7, 6, 3],
    2098: [12, 7, 3],
    2099: [13, -5, 3],
    2100: [13, -5, 3, 1],
    2101: [22, -20, -14, 13],
    2102: [29, -28, -7, 2],
    2103: [11, 11, -7, -6],
    2104: [20, -18, -4],
    2105: [17, -14, -4],
    2106: [13, -4, -3],
    2107: [27, -26],
    2108: [15, -11, 4],
    2109: [13, -5, 4, -3],
    2110: [52, -50, -23, -11],
    2111: [23, -19, -13, -10],
    2112: [12, 8, -4, -4],
    2113: [-15, 14, 14],
    2114: [12, 9, -7],
    2115: [11, 10, -6],
    2116: [22, -21, 9],
    2117: [-803, 736, 492],
    2118: [82, -65, -65],
    2119: [25, -23, -11, -2],
    2120: [26, -25, 8, -7],
    2121: [14, -7, -6, -4],
    2122: [-31, 30, 17],
    2123: [518, -516, -117],
    2124: [11, 9, 4],
    2125: [10, 10, 5],
    2126: [-77, 76, 27],
    2127: [25, -23, -11],
    2128: [10, 10, 4, 4],
    2129: [-19, 17, 14, 11],
    2130: [14, -10, 9, -7],
    2131: [13, -4, -1, -1],
    2132: [13, -4, -1],
    2133: [13, -4],
    2134: [13, -4, 1],
    2135: [12, 7, 4],
    2136: [13, -5, 4],
    2137: [13, -5, 4, 1],
    2138: [-88, 83, 47, 20],
    2139: [14, -9, 5, -1],
    2140: [14, -9, 5],
    2141: [13, -4, 2],
    2142: [14, -11, 9],
    2143: [13, -3, -3],
    2144: [25, -24, 7],
    2145: [-26, 25, 16],
    2146: [-26, 25, 16, 1],
    2147: [17, -16, 11, -1],
    2148: [17, -16, 11],
    2149: [455, -451, -135],
    2150: [11, 11, -8],
    2151: [21, -17, -13],
    2152: [16, -12, -6],
    2153: [19, -15, -11],
    2154: [13, -3, -2, -2],
    2155: [73, -62, -53, 7],
    2156: [17, -16, 11, 2],
    2157: [149, -148, -40],
    2158: [-90, 77, 65],
    2159: [15, -10, -6],
    2160: [12, 6, 6],
    2161: [17, -14, -2],
    2162: [13, -3, -2],
    2163: [-524, 502, 259],
    2164: [19, -17, 7, -5],
    2165: [20, -19, 8, 8],
    2166: [15, -13, 11, -7],
    2167: [20, -18, -1],
    2168: [20, -18],
    2169: [17, -14],
    2170: [13, -3],
    2171: [13, -3, 1],
    2172: [13, -3, 1, 1],
    2173: [13, -2, -2, -2],
    2174: [11, 11, -10, 8],
    2175: [12, 8, -4, -1],
    2176: [12, 8, -4],
    2177: [17, -14, 2],
    2178: [13, -3, 2],
    2179: [28, -26, -13],
    2180: [13, -2, -2, -1],
    2181: [13, -2, -2],
    2182: [13, -2, -2, 1],
    2183: [14, -7, -7, 5],
    2184: [11, 8, 6, 5],
    2185: [11, 9, 5],
    2186: [11, 8, 7],
    2187: [9, 9, 9],
    2188: [13, -2, -1],
    2189: [13, -2],
    2190: [13, -2, 1],
    2191: [13, -2, 1, 1],
    2192: [14, -10, 8, -4],
    2193: [11, 9, 5, 2],
    2194: [11, 8, 7, 2],
    2195: [13, -1, -1],
    2196: [13, -1],
    2197: [13],
    2198: [13, 1],
    2199: [13, 1, 1],
    2200: [13, 1, 1, 1],
    2201: [-22, 20, 17, -4],
    2202: [15, -13, 8, 8],
    2203: [-133, 132, 38],
    2204: [13, 2, -1],
    2205: [13, 2],
    2206: [11, 10, -5],
    2207: [711, -686, -332],
    2208: [12, 10, -8, -2],
    2209: [13, -11, 10, 7],
    2210: [-85, 80, 47, 8],
    2211: [248, -229, -148],
    2212: [11, 9, 5, 3],
    2213: [12, 8, -3],
    2214: [42, -33, -33],
    2215: [-97, 85, 67],
    2216: [10, 10, 6],
    2217: [10, 10, 6, 1],
    2218: [16, -14, 13, -11],
    2219: [20, -16, -13, 8],
    2220: [23, -19, -18, 14],
    2221: [29, -28, -6],
    2222: [51, -45, -34],
    2223: [13, 3, -1],
    2224: [13, 3],
    2225: [13, 3, 1],
    2226: [-161, 160, 43],
    2227: [16, -14, 10, -5],
    2228: [17, -13, -10, 8],
    2229: [14, -10, 8, -3],
    2230: [11, 11, -6, -6],
    2231: [14, -8, -1],
    2232: [14, -8],
    2233: [14, -8, 1],
    2234: [13, 4, -3],
    2235: [13, 4, -3, 1],
    2236: [34, -29, -23, -8],
    2237: [-208, 197, 176, -160],
    2238: [12, 8, -1, -1],
    2239: [12, 8, -1],
    2240: [12, 8],
    2241: [10, 9, 8],
    2242: [16, -13, 7],
    2243: [16, -12, -5],
    2244: [13, -8, 7, 6],
    2245: [13, 4, -2, -2],
    2246: [47, -40, -28, -25],
    2247: [15, -10, -4, -4],
    2248: [12, 8, 2],
    2249: [-126, 120, 65],
    2250: [15, -10, -5],
    2251: [13, 3, 3],
    2252: [346, -287, -261],
    2253: [13, 4, -2],
    2254: [13, 4, -2, 1],
    2255: [11, 11, -7, -4],
    2256: [14, -10, 8],
    2257: [-367, 366, 74],
    2258: [13, 5, -4],
    2259: [14, -8, 3],
    2260: [13, 4, -1],
    2261: [13, 4],
    2262: [13, 4, 1],
    2263: [13, 4, 1, 1],
    2264: [14, -10, 8, 2],
    2265: [-22, 20, 17],
    2266: [11, 10, -4, -1],
    2267: [11, 10, -4],
    2268: [25, -21, -16],
    2269: [28, -27],
    2270: [28, -27, 1],
    2271: [18, -17, 16, -14],
    2272: [19, -14, -11, -8],
    2273: [14, -7, -4, -4],
    2274: [269, -256, -139],
    2275: [14, -13, 12],
    2276: [11, 9, 6],
    2277: [21, -19, -5],
    2278: [-40, 37, 25],
    2279: [31, -30, -8],
    2280: [10, 10, 6, 4],
    2281: [19, -17, 7, -2],
    2282: [20, 20, -19, -19],
    2283: [14, -10, 8, 3],
    2284: [11, 9, 6, 2],
    2285: [-38, 32, 29],
    2286: [13, -7, 6, 6],
    2287: [12, 7, 6],
    2288: [13, 4, 3],
    2289: [19, -17, 7],
    2290: [13, 7, -5, -5],
    2291: [14, 14, -13, -10],
    2292: [11, 11, -7, -3],
    2293: [20, -18, 5],
    2294: [17, -14, 5],
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    8910: [21, -7, -2],
    8911: [24, -17],
    8912: [22, -12, -2],
    8913: [49, -47, -17],
    8914: [28, -20, -17, -5],
    8915: [59, -58, -16, 14],
    8916: [21, -7, -1, -1],
    8917: [21, -7, -1],
    8918: [21, -7],
    8919: [18, 14, 7],
    8920: [22, -12],
    8921: [16, 16, 9],
    8922: [955, -953, -176],
    8923: [19, 10, 10, 4],
    8924: [20, 11, -7, -4],
    8925: [17, 15, 8, 5],
    8926: [21, -7, 2],
    8927: [119, -104, -82],
    8928: [18, 16, -10],
    8929: [33, -30, -2],
    8930: [19, 12, 7],
    8931: [19, 13, -5],
    8932: [19, 13, -5, 1],
    8933: [29, -25, 8, -7],
    8934: [20, -12, 11, 11],
    8935: [20, 10, -4, -1],
    8936: [20, 10, -4],
    8937: [33, -30],
    8938: [24, -17, 3],
    8939: [27, -20, -14],
    8940: [103, -83, -80],
    8941: [22, -20, 16, 13],
    8942: [20, 17, -16, 5],
    8943: [-361, 311, 257],
    8944: [14, 14, 12, 12],
    8945: [17, 16, -4],
    8946: [45, -35, -34],
    8947: [15, 15, 13],
    8948: [49, -45, -26],
    8949: [190, -188, -59],
    8950: [40, -35, -23, -2],
    8951: [17, 17, -10, 5],
    8952: [-64, 62, 32],
    8953: [65, -63, -25],
    8954: [-166, 165, 45],
    8955: [46, -45, 14],
    8956: [25, -20, 11],
    8957: [52, -51, 10],
    8958: [40, -35, -23],
    8959: [31, -26, -14, -8],
    8960: [17, 17, -13, 11],
    8961: [14, 14, 14, 9],
    8962: [875, -873, -166],
    8963: [22, -13, 8],
    8964: [33, -30, 3],
    8965: [21, -8, 6],
    8966: [27, -26, 19],
    8967: [19, 15, -11, 4],
    8968: [22, -14, 10, 4],
    8969: [23, -13, -10, -1],
    8970: [23, -13, -10],
    8971: [27, -22, -4],
    8972: [17, 12, 11, 10],
    8973: [20, 10, -3],
    8974: [22, -11, -7],
    8975: [24, -17, 4],
    8976: [22, -11, -6, -5],
    8977: [25, -20, 16, -14],
    8978: [23, -13, -10, 2],
    8979: [20, 9, 5, 5],
    8980: [29, -25, 6],
    8981: [21, -6, -4],
    8982: [17, 16, -3],
    8983: [392, -377, -188],
    8984: [22, -12, 4],
    8985: [97, -92, -50],
    8986: [22, -11, -11, 10],
    8987: [20, 11, -7, -1],
    8988: [17, 14, 11],
    8989: [26, -19, -12],
    8990: [21, -10, 9],
    8991: [18, 15, -6],
    8992: [19, 13, -4],
    8993: [-228, 217, 118],
    8994: [-767, 766, 121],
    8995: [19, 13, -5, 4],
    8996: [17, 14, 11, 2],
    8997: [305, -301, -103],
    8998: [-33, 32, 23],
    8999: [20, 10, -1],
    9000: [20, 10],
    9001: [17, 16, -2],
    9002: [106, -105, -29],
    9003: [40, -38, -5],
    9004: [-23, 22, 22, -5],
    9005: [74, -73, -19, -7],
    9006: [18, 11, 11, 8],
    9007: [41, -37, -21],
    9008: [17, 16, -1],
    9009: [17, 16],
    9010: [17, 16, 1],
    9011: [21, -5, -5],
    9012: [19, 19, -15, -11],
    9013: [-47, 46, 25, -5],
    9014: [29, -25, 5, 5],
    9015: [17, 14, 11, 3],
    9016: [20, 14, -12],
    9017: [17, 15, 9],
    9018: [21, -6, -3],
    9019: [19, 12, 6, 6],
    9020: [61, -57, -32],
    9021: [94, -92, -35],
    9022: [40, -35, -23, 4],
    9023: [56, -55, -7, 5],
    9024: [20, 8, 8],
    9025: [56, -55, -6],
    9026: [20, 12, -9, 3],
    9027: [20, 10, 3],
    9028: [19, 17, -14],
    9029: [18, 13, 10],
    9030: [18, 13, 10, 1],
    9031: [28, -20, -17, -2],
    9032: [20, 8, 8, 2],
    9033: [17, 17, -9, -4],
    9034: [27, -22, -1],
    9035: [27, -22],
    9036: [17, 16, 3],
    9037: [16, 14, 13],
    9038: [-311, 256, 237],
    9039: [28, -20, -17],
    9040: [19, 13, -2, -2],
    9041: [26, -16, -16, -7],
    9042: [206, -205, -49],
    9043: [21, -7, 5],
    9044: [21, -6, -1],
    9045: [21, -6],
    9046: [21, -6, 1],
    9047: [379, -327, -269],
    9048: [19, 13, -2],
    9049: [19, 13, -2, 1],
    9050: [86, -85, -25, 14],
    9051: [20, 8, 8, 3],
    9052: [44, -43, 15],
    9053: [21, -6, 2],
    9054: [58, -55, -27],
    9055: [19, 13, -1],
    9056: [19, 13],
    9057: [19, 13, 1],
    9058: [19, 13, 1, 1],
    9059: [20, 14, -13, 8],
    9060: [281, -280, -61],
    9061: [-507, 506, 92],
    9062: [27, -22, 3],
    9063: [17, 16, 3, 3],
    9064: [19, 13, 2],
    9065: [57, -56, -8],
    9066: [-131, 118, 85],
    9067: [22, -11, -5, -5],
    9068: [38, -37, 17, -4],
    9069: [251, -205, -193],
    9070: [707, -597, -520],
    9071: [23, -16, 10],
    9072: [20, 9, 7],
    9073: [17, 16, 4],
    9074: [130, -105, -101],
    9075: [19, 10, 10, 6],
    9076: [34, -32, 13, 7],
    9077: [20, 20, -19, -4],
    9078: [21, 17, -16, -10],
    9079: [23, -18, 14],
    9080: [23, -14, -7],
    9081: [30, -26, -7],
    9082: [18, 15, -5],
    9083: [19, 13, 3],
    9084: [-371, 367, 118],
    9085: [64, -50, -44, -35],
    9086: [26, -16, -13, -13],
    9087: [21, 8, -7, -7],
    9088: [18, 14, 8],
    9089: [-34, 32, 25],
    9090: [41, -39, -8],
    9091: [19, 14, -8],
    9092: [21, -8, 7],
    9093: [18, 13, 10, 4],
    9094: [-59, 49, 46, -8],
    9095: [23, -13, -10, 5],
    9096: [17, 17, -9, -1],
    9097: [17, 17, -9],
    9098: [752, -751, -119],
    9099: [19, 12, 8],
    9100: [33, -26, -21],
    9101: [22, -11, -6],
    9102: [19, 16, -12, -5],
    9103: [28, -20, -17, 4],
    9104: [23, -13, -13, 11],
    9105: [17, 17, -9, 2],
    9106: [65, -64, -15],
    9107: [28, -22, -13],
    9108: [23, -12, -11],
    9109: [21, -5, -3],
    9110: [22, -17, 15],
    9111: [18, -17, 16, 16],
    9112: [19, 16, -11, -8],
    9113: [17, 14, 11, 5],
    9114: [347, -316, -217],
    9115: [20, 11, -6],
    9116: [56, -55, -5],
    9117: [53, -47, -33],
    9118: [24, -15, -11],
    9119: [19, 15, -11, 6],
    9120: [19, 13, 4],
    9121: [19, 13, 4, 1],
    9122: [-28, 26, 23, 11],
    9123: [-76, 74, 35],
    9124: [17, 17, -9, 3],
    9125: [20, 10, 5],
    9126: [19, 12, 8, 3],
    9127: [24, -17, 6],
    9128: [40, -38],
    9129: [-23, 22, 22],
    9130: [-23, 22, 22, 1],
    9131: [32, -28, -13, 8],
    9132: [38, -37, 17],
    9133: [21, -4, -4],
    9134: [17, 16, 5],
    9135: [21, -5, -1],
    9136: [21, -5],
    9137: [21, -5, 1],
    9138: [-47, 46, 25],
    9139: [-47, 46, 25, 1],
    9140: [17, 17, -7, -7],
    9141: [20, 20, -19],
    9142: [-286, 279, 119],
    9143: [18, 15, -4],
    9144: [21, -5, 2],
    9145: [51, -47, -27],
    9146: [61, -51, -44],
    9147: [19, 13, 4, 3],
    9148: [19, 19, -17, 7],
    9149: [20, 8, 8, 5],
    9150: [62, -61, -13],
    9151: [-55, 51, 35],
    9152: [37, -34, -13],
    9153: [33, -30, 6],
    9154: [73, -71, -28],
    9155: [40, -38, 3],
    9156: [21, -8, 7, 4],
    9157: [67, -56, -47, -23],
    9158: [-58, 53, 44, -31],
    9159: [407, -388, -208],
    9160: [27, -22, 5],
    9161: [-448, 433, 206],
    9162: [24, -19, 13],
    9163: [21, -5, 3],
    9164: [69, -68, -17],
    9165: [22, -11, -5, -3],
    9166: [-71, 61, 52, -8],
    9167: [23, -10, -10, -10],
    9168: [20, 20, -18, -10],
    9169: [17, 14, 10, 8],
    9170: [21, -4, -3],
    9171: [43, -37, -27],
    9172: [336, -335, -69],
    9173: [688, -563, -528],
    9174: [22, -17, 15, 4],
    9175: [-41, 34, 34, -8],
    9176: [23, -22, 17, 14],
    9177: [56, -55, -4],
    9178: [20, 15, -13],
    9179: [-696, 672, 323],
    9180: [18, 15, -3],
    9181: [19, 13, 5],
    9182: [-149, 147, 52],
    9183: [61, -53, -41],
    9184: [19, 13, 4, 4],
    9185: [56, -46, -34, -31],
    9186: [20, 15, -13, 2],
    9187: [27, -22, 5, 3],
    9188: [54, -51, -25],
    9189: [21, -4, -2],
    9190: [19, 11, 10],
    9191: [199, -195, -77],
    9192: [16, 16, 10],
    9193: [16, 16, 10, 1],
    9194: [50, -49, 11, 8],
    9195: [17, 17, -15, 14],
    9196: [21, -4, -1],
    9197: [21, -4],
    9198: [21, -4, 1],
    9199: [16, 15, 12],
    9200: [21, -5, 4],
    9201: [21, -5, 4, 1],
    9202: [19, 10, 10, 7],
    9203: [20, 11, -4, -4],
    9204: [17, 14, 11, 6],
    9205: [21, -4, 2],
    9206: [18, 15, -1],
    9207: [18, 15],
    9208: [18, 15, 1],
    9209: [181, -179, -57],
    9210: [19, 15, -8, -8],
    9211: [19, 16, -14, 10],
    9212: [23, 20, -19, -16],
    9213: [59, -55, -31],
    9214: [56, -55, -3],
    9215: [18, 15, 2],
    9216: [20, 10, 6],
    9217: [19, 11, 10, 3],
    9218: [181, -147, -140],
    9219: [16, 13, 13, 9],
    9220: [-86, 79, 58, -35],
    9221: [23, -19, 17, -10],
    9222: [17, 17, -9, 5],
    9223: [-757, 747, 257],
    9224: [21, -4, 3],
    9225: [17, 16, 6],
    9226: [21, -3, -2],
    9227: [19, 16, -12],
    9228: [19, 16, -12, 1],
    9229: [55, -53, -53, 52],
    9230: [44, -34, -31, -19],
    9231: [47, -46, 14],
    9232: [176, -162, -106],
    9233: [21, -3, -1],
    9234: [21, -3],
    9235: [21, -3, 1],
    9236: [21, -3, 1, 1],
    9237: [21, -2, -2, -2],
    9238: [28, -23, -14, 13],
    9239: [32, -25, -22, 14],
    9240: [56, -55, -1],
    9241: [56, -55],
}

terms = sol[int(input())]
print(len(terms))
print(*terms)