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实践","/document/monitor/guide/sentry","document/43.monitor/01.guide/05.sentry",{"title":1516,"path":1517,"stem":1518},"日志与告警","/document/monitor/guide/logging","document/43.monitor/01.guide/06.logging",{"id":1520,"title":331,"body":1521,"description":2996,"extension":2997,"links":2998,"meta":2999,"navigation":3000,"path":332,"seo":3001,"stem":333,"__hash__":3002},"docs/document/07.js-algorithms/01.guide/05.heuristic.md",{"type":1522,"value":1523,"toc":2987},"minimal",[1524,1528,1531,1534,1539,1542,1545,1553,1686,1689,1818,1824,1826,1830,1833,1836,1839,1855,1858,2181,2186,2188,2192,2195,2198,2201,2212,2215,2402,2408,2410,2414,2417,2420,2586,2589,2594,2596,2600,2603,2606,2609,2612,2614,2931,2936,2938,2942,2959,2961,2965,2972,2978,2980,2983],[1525,1526,1527],"p",{},"🎯 学会这篇文章，我能做什么事情？实际上有什么帮助？用一段话来描述（100字左右）",[1525,1529,1530],{},"掌握这篇文章中的算法思想，前端小白可以更好地理解和解决复杂问题，如页面数据处理、动画状态管理和性能优化。文章用简单示例和口语化讲解，帮助你轻松入门递归、分治、贪心、动态规划和双指针技巧，让你在写代码时更加自信和高效。",[1532,1533],"hr",{},[1535,1536,1538],"h2",{"id":1537},"递归与迭代","🌀 递归与迭代",[1525,1540,1541],{},"递归和迭代是两种解决问题的基本思路。递归就是函数自己调用自己，像穿越迷宫一样，一步步往里走；迭代则是通过循环，一次次重复做相同的事情。",[1525,1543,1544],{},"比如，计算 1 到 n 的和。",[1525,1546,1547,1548,1552],{},"递归思路是拆成 ",[1549,1550,1551],"code",{},"n + (1 到 n-1 的和)","，代码如下：",[1554,1555,1560],"pre",{"className":1556,"code":1557,"language":1558,"meta":1559,"style":1559},"language-js shiki shiki-themes material-theme-lighter material-theme material-theme-palenight","function sumRecursive(n) {\n    if (n === 1) return 1;\n    return n + sumRecursive(n - 1);\n}\nconsole.log(sumRecursive(5)); // 15\n","js","",[1549,1561,1562,1589,1621,1648,1654],{"__ignoreMap":1559},[1563,1564,1567,1571,1575,1579,1583,1586],"span",{"class":1565,"line":1566},"line",1,[1563,1568,1570],{"class":1569},"s50WR","function",[1563,1572,1574],{"class":1573},"swgpB"," sumRecursive",[1563,1576,1578],{"class":1577},"s86vT","(",[1563,1580,1582],{"class":1581},"sK9QF","n",[1563,1584,1585],{"class":1577},")",[1563,1587,1588],{"class":1577}," {\n",[1563,1590,1592,1596,1600,1603,1606,1610,1613,1616,1618],{"class":1565,"line":1591},2,[1563,1593,1595],{"class":1594},"s8pZq","    if",[1563,1597,1599],{"class":1598},"sd2Uz"," (",[1563,1601,1582],{"class":1602},"sndM8",[1563,1604,1605],{"class":1577}," ===",[1563,1607,1609],{"class":1608},"smPcV"," 1",[1563,1611,1612],{"class":1598},") ",[1563,1614,1615],{"class":1594},"return",[1563,1617,1609],{"class":1608},[1563,1619,1620],{"class":1577},";\n",[1563,1622,1624,1627,1630,1633,1635,1637,1639,1642,1644,1646],{"class":1565,"line":1623},3,[1563,1625,1626],{"class":1594},"    return",[1563,1628,1629],{"class":1602}," n",[1563,1631,1632],{"class":1577}," +",[1563,1634,1574],{"class":1573},[1563,1636,1578],{"class":1598},[1563,1638,1582],{"class":1602},[1563,1640,1641],{"class":1577}," -",[1563,1643,1609],{"class":1608},[1563,1645,1585],{"class":1598},[1563,1647,1620],{"class":1577},[1563,1649,1651],{"class":1565,"line":1650},4,[1563,1652,1653],{"class":1577},"}\n",[1563,1655,1657,1660,1663,1666,1668,1671,1673,1676,1679,1682],{"class":1565,"line":1656},5,[1563,1658,1659],{"class":1602},"console",[1563,1661,1662],{"class":1577},".",[1563,1664,1665],{"class":1573},"log",[1563,1667,1578],{"class":1602},[1563,1669,1670],{"class":1573},"sumRecursive",[1563,1672,1578],{"class":1602},[1563,1674,1675],{"class":1608},"5",[1563,1677,1678],{"class":1602},"))",[1563,1680,1681],{"class":1577},";",[1563,1683,1685],{"class":1684},"syuKq"," // 15\n",[1525,1687,1688],{},"迭代的做法是用循环累加：",[1554,1690,1692],{"className":1556,"code":1691,"language":1558,"meta":1559,"style":1559},"function sumIterative(n) {\n    let total = 0;\n    for (let i = 1; i \u003C= n; i++) {\n        total += i;\n    }\n    return total;\n}\nconsole.log(sumIterative(5)); // 15\n",[1549,1693,1694,1709,1725,1763,1775,1780,1789,1794],{"__ignoreMap":1559},[1563,1695,1696,1698,1701,1703,1705,1707],{"class":1565,"line":1566},[1563,1697,1570],{"class":1569},[1563,1699,1700],{"class":1573}," sumIterative",[1563,1702,1578],{"class":1577},[1563,1704,1582],{"class":1581},[1563,1706,1585],{"class":1577},[1563,1708,1588],{"class":1577},[1563,1710,1711,1714,1717,1720,1723],{"class":1565,"line":1591},[1563,1712,1713],{"class":1569},"    let",[1563,1715,1716],{"class":1602}," total",[1563,1718,1719],{"class":1577}," =",[1563,1721,1722],{"class":1608}," 0",[1563,1724,1620],{"class":1577},[1563,1726,1727,1730,1732,1735,1738,1740,1742,1744,1746,1749,1751,1753,1755,1758,1760],{"class":1565,"line":1623},[1563,1728,1729],{"class":1594},"    for",[1563,1731,1599],{"class":1598},[1563,1733,1734],{"class":1569},"let",[1563,1736,1737],{"class":1602}," i",[1563,1739,1719],{"class":1577},[1563,1741,1609],{"class":1608},[1563,1743,1681],{"class":1577},[1563,1745,1737],{"class":1602},[1563,1747,1748],{"class":1577}," \u003C=",[1563,1750,1629],{"class":1602},[1563,1752,1681],{"class":1577},[1563,1754,1737],{"class":1602},[1563,1756,1757],{"class":1577},"++",[1563,1759,1612],{"class":1598},[1563,1761,1762],{"class":1577},"{\n",[1563,1764,1765,1768,1771,1773],{"class":1565,"line":1650},[1563,1766,1767],{"class":1602},"        total",[1563,1769,1770],{"class":1577}," +=",[1563,1772,1737],{"class":1602},[1563,1774,1620],{"class":1577},[1563,1776,1777],{"class":1565,"line":1656},[1563,1778,1779],{"class":1577},"    }\n",[1563,1781,1783,1785,1787],{"class":1565,"line":1782},6,[1563,1784,1626],{"class":1594},[1563,1786,1716],{"class":1602},[1563,1788,1620],{"class":1577},[1563,1790,1792],{"class":1565,"line":1791},7,[1563,1793,1653],{"class":1577},[1563,1795,1797,1799,1801,1803,1805,1808,1810,1812,1814,1816],{"class":1565,"line":1796},8,[1563,1798,1659],{"class":1602},[1563,1800,1662],{"class":1577},[1563,1802,1665],{"class":1573},[1563,1804,1578],{"class":1602},[1563,1806,1807],{"class":1573},"sumIterative",[1563,1809,1578],{"class":1602},[1563,1811,1675],{"class":1608},[1563,1813,1678],{"class":1602},[1563,1815,1681],{"class":1577},[1563,1817,1685],{"class":1684},[1819,1820,1821],"tip",{},[1525,1822,1823],{},"递归更适合问题可以分成相同的子问题，代码简洁易懂。迭代效率高，避免调用栈溢出。",[1532,1825],{},[1535,1827,1829],{"id":1828},"分治思想","🪓 分治思想",[1525,1831,1832],{},"分治是一种“拆分问题，分别解决，再合并结果”的思想。适合处理复杂问题，比如排序。",[1525,1834,1835],{},"举个例子，快速排序（Quick Sort）就是分治的典型应用。",[1525,1837,1838],{},"原理：",[1840,1841,1842,1846,1849,1852],"ul",{},[1843,1844,1845],"li",{},"选一个基准值（pivot）",[1843,1847,1848],{},"把数组分成比基准值小和大的两部分",[1843,1850,1851],{},"递归对这两部分分别排序",[1843,1853,1854],{},"合并结果",[1525,1856,1857],{},"示例代码：",[1554,1859,1861],{"className":1556,"code":1860,"language":1558,"meta":1559,"style":1559},"function quickSort(arr) {\n    if (arr.length \u003C= 1) return arr;\n\n    const pivot = arr[0];\n    const left = [];\n    const right = [];\n\n    for (let i = 1; i \u003C arr.length; i++) {\n        if (arr[i] \u003C pivot) left.push(arr[i]);\n        else right.push(arr[i]);\n    }\n\n    return [...quickSort(left), pivot, ...quickSort(right)];\n}\n\nconsole.log(quickSort([3, 6, 2, 8, 4])); // [2,3,4,6,8]\n",[1549,1862,1863,1879,1905,1911,1934,1948,1961,1965,2002,2048,2072,2077,2082,2124,2129,2134],{"__ignoreMap":1559},[1563,1864,1865,1867,1870,1872,1875,1877],{"class":1565,"line":1566},[1563,1866,1570],{"class":1569},[1563,1868,1869],{"class":1573}," quickSort",[1563,1871,1578],{"class":1577},[1563,1873,1874],{"class":1581},"arr",[1563,1876,1585],{"class":1577},[1563,1878,1588],{"class":1577},[1563,1880,1881,1883,1885,1887,1889,1892,1894,1896,1898,1900,1903],{"class":1565,"line":1591},[1563,1882,1595],{"class":1594},[1563,1884,1599],{"class":1598},[1563,1886,1874],{"class":1602},[1563,1888,1662],{"class":1577},[1563,1890,1891],{"class":1602},"length",[1563,1893,1748],{"class":1577},[1563,1895,1609],{"class":1608},[1563,1897,1612],{"class":1598},[1563,1899,1615],{"class":1594},[1563,1901,1902],{"class":1602}," arr",[1563,1904,1620],{"class":1577},[1563,1906,1907],{"class":1565,"line":1623},[1563,1908,1910],{"emptyLinePlaceholder":1909},true,"\n",[1563,1912,1913,1916,1919,1921,1923,1926,1929,1932],{"class":1565,"line":1650},[1563,1914,1915],{"class":1569},"    const",[1563,1917,1918],{"class":1602}," pivot",[1563,1920,1719],{"class":1577},[1563,1922,1902],{"class":1602},[1563,1924,1925],{"class":1598},"[",[1563,1927,1928],{"class":1608},"0",[1563,1930,1931],{"class":1598},"]",[1563,1933,1620],{"class":1577},[1563,1935,1936,1938,1941,1943,1946],{"class":1565,"line":1656},[1563,1937,1915],{"class":1569},[1563,1939,1940],{"class":1602}," left",[1563,1942,1719],{"class":1577},[1563,1944,1945],{"class":1598}," []",[1563,1947,1620],{"class":1577},[1563,1949,1950,1952,1955,1957,1959],{"class":1565,"line":1782},[1563,1951,1915],{"class":1569},[1563,1953,1954],{"class":1602}," right",[1563,1956,1719],{"class":1577},[1563,1958,1945],{"class":1598},[1563,1960,1620],{"class":1577},[1563,1962,1963],{"class":1565,"line":1791},[1563,1964,1910],{"emptyLinePlaceholder":1909},[1563,1966,1967,1969,1971,1973,1975,1977,1979,1981,1983,1986,1988,1990,1992,1994,1996,1998,2000],{"class":1565,"line":1796},[1563,1968,1729],{"class":1594},[1563,1970,1599],{"class":1598},[1563,1972,1734],{"class":1569},[1563,1974,1737],{"class":1602},[1563,1976,1719],{"class":1577},[1563,1978,1609],{"class":1608},[1563,1980,1681],{"class":1577},[1563,1982,1737],{"class":1602},[1563,1984,1985],{"class":1577}," \u003C",[1563,1987,1902],{"class":1602},[1563,1989,1662],{"class":1577},[1563,1991,1891],{"class":1602},[1563,1993,1681],{"class":1577},[1563,1995,1737],{"class":1602},[1563,1997,1757],{"class":1577},[1563,1999,1612],{"class":1598},[1563,2001,1762],{"class":1577},[1563,2003,2005,2008,2010,2012,2014,2017,2020,2023,2025,2027,2030,2032,2035,2037,2039,2041,2043,2046],{"class":1565,"line":2004},9,[1563,2006,2007],{"class":1594},"        if",[1563,2009,1599],{"class":1598},[1563,2011,1874],{"class":1602},[1563,2013,1925],{"class":1598},[1563,2015,2016],{"class":1602},"i",[1563,2018,2019],{"class":1598},"] ",[1563,2021,2022],{"class":1577},"\u003C",[1563,2024,1918],{"class":1602},[1563,2026,1612],{"class":1598},[1563,2028,2029],{"class":1602},"left",[1563,2031,1662],{"class":1577},[1563,2033,2034],{"class":1573},"push",[1563,2036,1578],{"class":1598},[1563,2038,1874],{"class":1602},[1563,2040,1925],{"class":1598},[1563,2042,2016],{"class":1602},[1563,2044,2045],{"class":1598},"])",[1563,2047,1620],{"class":1577},[1563,2049,2051,2054,2056,2058,2060,2062,2064,2066,2068,2070],{"class":1565,"line":2050},10,[1563,2052,2053],{"class":1594},"        else",[1563,2055,1954],{"class":1602},[1563,2057,1662],{"class":1577},[1563,2059,2034],{"class":1573},[1563,2061,1578],{"class":1598},[1563,2063,1874],{"class":1602},[1563,2065,1925],{"class":1598},[1563,2067,2016],{"class":1602},[1563,2069,2045],{"class":1598},[1563,2071,1620],{"class":1577},[1563,2073,2075],{"class":1565,"line":2074},11,[1563,2076,1779],{"class":1577},[1563,2078,2080],{"class":1565,"line":2079},12,[1563,2081,1910],{"emptyLinePlaceholder":1909},[1563,2083,2085,2087,2090,2093,2096,2098,2100,2102,2105,2107,2109,2112,2114,2116,2119,2122],{"class":1565,"line":2084},13,[1563,2086,1626],{"class":1594},[1563,2088,2089],{"class":1598}," [",[1563,2091,2092],{"class":1577},"...",[1563,2094,2095],{"class":1573},"quickSort",[1563,2097,1578],{"class":1598},[1563,2099,2029],{"class":1602},[1563,2101,1585],{"class":1598},[1563,2103,2104],{"class":1577},",",[1563,2106,1918],{"class":1602},[1563,2108,2104],{"class":1577},[1563,2110,2111],{"class":1577}," ...",[1563,2113,2095],{"class":1573},[1563,2115,1578],{"class":1598},[1563,2117,2118],{"class":1602},"right",[1563,2120,2121],{"class":1598},")]",[1563,2123,1620],{"class":1577},[1563,2125,2127],{"class":1565,"line":2126},14,[1563,2128,1653],{"class":1577},[1563,2130,2132],{"class":1565,"line":2131},15,[1563,2133,1910],{"emptyLinePlaceholder":1909},[1563,2135,2137,2139,2141,2143,2145,2147,2150,2153,2155,2158,2160,2163,2165,2168,2170,2173,2176,2178],{"class":1565,"line":2136},16,[1563,2138,1659],{"class":1602},[1563,2140,1662],{"class":1577},[1563,2142,1665],{"class":1573},[1563,2144,1578],{"class":1602},[1563,2146,2095],{"class":1573},[1563,2148,2149],{"class":1602},"([",[1563,2151,2152],{"class":1608},"3",[1563,2154,2104],{"class":1577},[1563,2156,2157],{"class":1608}," 6",[1563,2159,2104],{"class":1577},[1563,2161,2162],{"class":1608}," 2",[1563,2164,2104],{"class":1577},[1563,2166,2167],{"class":1608}," 8",[1563,2169,2104],{"class":1577},[1563,2171,2172],{"class":1608}," 4",[1563,2174,2175],{"class":1602},"]))",[1563,2177,1681],{"class":1577},[1563,2179,2180],{"class":1684}," // [2,3,4,6,8]\n",[1819,2182,2183],{},[1525,2184,2185],{},"分治可以把大问题拆成小块，代码更清晰，适合解决排序、归并、树结构遍历等。",[1532,2187],{},[1535,2189,2191],{"id":2190},"贪心算法","💰 贪心算法",[1525,2193,2194],{},"贪心算法的核心就是：每一步都选择局部最优解，希望最终得到全局最优。",[1525,2196,2197],{},"比如，最简单的找零钱问题，假设零钱有 10 元、5 元和 1 元，要找 18 元零钱。",[1525,2199,2200],{},"贪心算法会先拿最大面额：",[1840,2202,2203,2206,2209],{},[1843,2204,2205],{},"拿一张 10 元，剩 8 元",[1843,2207,2208],{},"拿一张 5 元，剩 3 元",[1843,2210,2211],{},"拿三张 1 元，剩 0 元",[1525,2213,2214],{},"代码示例：",[1554,2216,2218],{"className":1556,"code":2217,"language":1558,"meta":1559,"style":1559},"function getChange(amount) {\n    const coins = [10, 5, 1];\n    const result = [];\n\n    for (let coin of coins) {\n        while (amount >= coin) {\n            amount -= coin;\n            result.push(coin);\n        }\n    }\n\n    return result;\n}\n\nconsole.log(getChange(18)); // [10, 5, 1, 1, 1]\n",[1549,2219,2220,2236,2263,2276,2280,2300,2318,2330,2348,2353,2357,2361,2369,2373,2377],{"__ignoreMap":1559},[1563,2221,2222,2224,2227,2229,2232,2234],{"class":1565,"line":1566},[1563,2223,1570],{"class":1569},[1563,2225,2226],{"class":1573}," getChange",[1563,2228,1578],{"class":1577},[1563,2230,2231],{"class":1581},"amount",[1563,2233,1585],{"class":1577},[1563,2235,1588],{"class":1577},[1563,2237,2238,2240,2243,2245,2247,2250,2252,2255,2257,2259,2261],{"class":1565,"line":1591},[1563,2239,1915],{"class":1569},[1563,2241,2242],{"class":1602}," coins",[1563,2244,1719],{"class":1577},[1563,2246,2089],{"class":1598},[1563,2248,2249],{"class":1608},"10",[1563,2251,2104],{"class":1577},[1563,2253,2254],{"class":1608}," 5",[1563,2256,2104],{"class":1577},[1563,2258,1609],{"class":1608},[1563,2260,1931],{"class":1598},[1563,2262,1620],{"class":1577},[1563,2264,2265,2267,2270,2272,2274],{"class":1565,"line":1623},[1563,2266,1915],{"class":1569},[1563,2268,2269],{"class":1602}," result",[1563,2271,1719],{"class":1577},[1563,2273,1945],{"class":1598},[1563,2275,1620],{"class":1577},[1563,2277,2278],{"class":1565,"line":1650},[1563,2279,1910],{"emptyLinePlaceholder":1909},[1563,2281,2282,2284,2286,2288,2291,2294,2296,2298],{"class":1565,"line":1656},[1563,2283,1729],{"class":1594},[1563,2285,1599],{"class":1598},[1563,2287,1734],{"class":1569},[1563,2289,2290],{"class":1602}," coin",[1563,2292,2293],{"class":1577}," of",[1563,2295,2242],{"class":1602},[1563,2297,1612],{"class":1598},[1563,2299,1762],{"class":1577},[1563,2301,2302,2305,2307,2309,2312,2314,2316],{"class":1565,"line":1782},[1563,2303,2304],{"class":1594},"        while",[1563,2306,1599],{"class":1598},[1563,2308,2231],{"class":1602},[1563,2310,2311],{"class":1577}," >=",[1563,2313,2290],{"class":1602},[1563,2315,1612],{"class":1598},[1563,2317,1762],{"class":1577},[1563,2319,2320,2323,2326,2328],{"class":1565,"line":1791},[1563,2321,2322],{"class":1602},"            amount",[1563,2324,2325],{"class":1577}," -=",[1563,2327,2290],{"class":1602},[1563,2329,1620],{"class":1577},[1563,2331,2332,2335,2337,2339,2341,2344,2346],{"class":1565,"line":1796},[1563,2333,2334],{"class":1602},"            result",[1563,2336,1662],{"class":1577},[1563,2338,2034],{"class":1573},[1563,2340,1578],{"class":1598},[1563,2342,2343],{"class":1602},"coin",[1563,2345,1585],{"class":1598},[1563,2347,1620],{"class":1577},[1563,2349,2350],{"class":1565,"line":2004},[1563,2351,2352],{"class":1577},"        }\n",[1563,2354,2355],{"class":1565,"line":2050},[1563,2356,1779],{"class":1577},[1563,2358,2359],{"class":1565,"line":2074},[1563,2360,1910],{"emptyLinePlaceholder":1909},[1563,2362,2363,2365,2367],{"class":1565,"line":2079},[1563,2364,1626],{"class":1594},[1563,2366,2269],{"class":1602},[1563,2368,1620],{"class":1577},[1563,2370,2371],{"class":1565,"line":2084},[1563,2372,1653],{"class":1577},[1563,2374,2375],{"class":1565,"line":2126},[1563,2376,1910],{"emptyLinePlaceholder":1909},[1563,2378,2379,2381,2383,2385,2387,2390,2392,2395,2397,2399],{"class":1565,"line":2131},[1563,2380,1659],{"class":1602},[1563,2382,1662],{"class":1577},[1563,2384,1665],{"class":1573},[1563,2386,1578],{"class":1602},[1563,2388,2389],{"class":1573},"getChange",[1563,2391,1578],{"class":1602},[1563,2393,2394],{"class":1608},"18",[1563,2396,1678],{"class":1602},[1563,2398,1681],{"class":1577},[1563,2400,2401],{"class":1684}," // [10, 5, 1, 1, 1]\n",[2403,2404,2405],"warning",{},[1525,2406,2407],{},"贪心算法不一定总是最优，但在很多实际问题中表现不错。",[1532,2409],{},[1535,2411,2413],{"id":2412},"动态规划入门","🧩 动态规划入门",[1525,2415,2416],{},"动态规划（Dynamic Programming，简称 DP）是优化递归的一种方法，适合解决有重叠子问题和最优子结构的问题。",[1525,2418,2419],{},"举个例子，经典的斐波那契数列：",[1554,2421,2423],{"className":1556,"code":2422,"language":1558,"meta":1559,"style":1559},"function fib(n) {\n    const dp = [0, 1];\n    for (let i = 2; i \u003C= n; i++) {\n        dp[i] = dp[i - 1] + dp[i - 2];\n    }\n    return dp[n];\n}\n\nconsole.log(fib(10)); // 55\n",[1549,2424,2425,2440,2461,2493,2536,2540,2554,2558,2562],{"__ignoreMap":1559},[1563,2426,2427,2429,2432,2434,2436,2438],{"class":1565,"line":1566},[1563,2428,1570],{"class":1569},[1563,2430,2431],{"class":1573}," fib",[1563,2433,1578],{"class":1577},[1563,2435,1582],{"class":1581},[1563,2437,1585],{"class":1577},[1563,2439,1588],{"class":1577},[1563,2441,2442,2444,2447,2449,2451,2453,2455,2457,2459],{"class":1565,"line":1591},[1563,2443,1915],{"class":1569},[1563,2445,2446],{"class":1602}," dp",[1563,2448,1719],{"class":1577},[1563,2450,2089],{"class":1598},[1563,2452,1928],{"class":1608},[1563,2454,2104],{"class":1577},[1563,2456,1609],{"class":1608},[1563,2458,1931],{"class":1598},[1563,2460,1620],{"class":1577},[1563,2462,2463,2465,2467,2469,2471,2473,2475,2477,2479,2481,2483,2485,2487,2489,2491],{"class":1565,"line":1623},[1563,2464,1729],{"class":1594},[1563,2466,1599],{"class":1598},[1563,2468,1734],{"class":1569},[1563,2470,1737],{"class":1602},[1563,2472,1719],{"class":1577},[1563,2474,2162],{"class":1608},[1563,2476,1681],{"class":1577},[1563,2478,1737],{"class":1602},[1563,2480,1748],{"class":1577},[1563,2482,1629],{"class":1602},[1563,2484,1681],{"class":1577},[1563,2486,1737],{"class":1602},[1563,2488,1757],{"class":1577},[1563,2490,1612],{"class":1598},[1563,2492,1762],{"class":1577},[1563,2494,2495,2498,2500,2502,2504,2507,2509,2511,2513,2515,2517,2519,2522,2524,2526,2528,2530,2532,2534],{"class":1565,"line":1650},[1563,2496,2497],{"class":1602},"        dp",[1563,2499,1925],{"class":1598},[1563,2501,2016],{"class":1602},[1563,2503,2019],{"class":1598},[1563,2505,2506],{"class":1577},"=",[1563,2508,2446],{"class":1602},[1563,2510,1925],{"class":1598},[1563,2512,2016],{"class":1602},[1563,2514,1641],{"class":1577},[1563,2516,1609],{"class":1608},[1563,2518,2019],{"class":1598},[1563,2520,2521],{"class":1577},"+",[1563,2523,2446],{"class":1602},[1563,2525,1925],{"class":1598},[1563,2527,2016],{"class":1602},[1563,2529,1641],{"class":1577},[1563,2531,2162],{"class":1608},[1563,2533,1931],{"class":1598},[1563,2535,1620],{"class":1577},[1563,2537,2538],{"class":1565,"line":1656},[1563,2539,1779],{"class":1577},[1563,2541,2542,2544,2546,2548,2550,2552],{"class":1565,"line":1782},[1563,2543,1626],{"class":1594},[1563,2545,2446],{"class":1602},[1563,2547,1925],{"class":1598},[1563,2549,1582],{"class":1602},[1563,2551,1931],{"class":1598},[1563,2553,1620],{"class":1577},[1563,2555,2556],{"class":1565,"line":1791},[1563,2557,1653],{"class":1577},[1563,2559,2560],{"class":1565,"line":1796},[1563,2561,1910],{"emptyLinePlaceholder":1909},[1563,2563,2564,2566,2568,2570,2572,2575,2577,2579,2581,2583],{"class":1565,"line":2004},[1563,2565,1659],{"class":1602},[1563,2567,1662],{"class":1577},[1563,2569,1665],{"class":1573},[1563,2571,1578],{"class":1602},[1563,2573,2574],{"class":1573},"fib",[1563,2576,1578],{"class":1602},[1563,2578,2249],{"class":1608},[1563,2580,1678],{"class":1602},[1563,2582,1681],{"class":1577},[1563,2584,2585],{"class":1684}," // 55\n",[1525,2587,2588],{},"动态规划把之前算过的结果保存起来，避免重复计算。",[1819,2590,2591],{},[1525,2592,2593],{},"DP 适合解决路径规划、最短距离、背包问题等场景，前端中可以用它来优化状态管理和缓存计算。",[1532,2595],{},[1535,2597,2599],{"id":2598},"双指针滑动窗口","🧮 双指针滑动窗口",[1525,2601,2602],{},"双指针是一种用两个索引（指针）在数组或字符串上移动来解决问题的技巧。",[1525,2604,2605],{},"滑动窗口是双指针的变种，常用来处理子串或子数组问题。",[1525,2607,2608],{},"举个例子，找字符串中最长的不含重复字符的子串长度。",[1525,2610,2611],{},"思路是用两个指针维护一个窗口，不断移动右指针，同时调整左指针保证窗口内字符无重复。",[1525,2613,1857],{},[1554,2615,2617],{"className":1556,"code":2616,"language":1558,"meta":1559,"style":1559},"function lengthOfLongestSubstring(s) {\n    let left = 0;\n    let maxLen = 0;\n    const map = new Map();\n\n    for (let right = 0; right \u003C s.length; right++) {\n        const char = s[right];\n        if (map.has(char) && map.get(char) >= left) {\n            left = map.get(char) + 1;\n        }\n        map.set(char, right);\n        maxLen = Math.max(maxLen, right - left + 1);\n    }\n\n    return maxLen;\n}\n\nconsole.log(lengthOfLongestSubstring('abcabcbb')); // 3\n",[1549,2618,2619,2635,2647,2660,2680,2684,2721,2741,2787,2812,2816,2838,2874,2878,2882,2890,2894,2899],{"__ignoreMap":1559},[1563,2620,2621,2623,2626,2628,2631,2633],{"class":1565,"line":1566},[1563,2622,1570],{"class":1569},[1563,2624,2625],{"class":1573}," lengthOfLongestSubstring",[1563,2627,1578],{"class":1577},[1563,2629,2630],{"class":1581},"s",[1563,2632,1585],{"class":1577},[1563,2634,1588],{"class":1577},[1563,2636,2637,2639,2641,2643,2645],{"class":1565,"line":1591},[1563,2638,1713],{"class":1569},[1563,2640,1940],{"class":1602},[1563,2642,1719],{"class":1577},[1563,2644,1722],{"class":1608},[1563,2646,1620],{"class":1577},[1563,2648,2649,2651,2654,2656,2658],{"class":1565,"line":1623},[1563,2650,1713],{"class":1569},[1563,2652,2653],{"class":1602}," maxLen",[1563,2655,1719],{"class":1577},[1563,2657,1722],{"class":1608},[1563,2659,1620],{"class":1577},[1563,2661,2662,2664,2667,2669,2672,2675,2678],{"class":1565,"line":1650},[1563,2663,1915],{"class":1569},[1563,2665,2666],{"class":1602}," map",[1563,2668,1719],{"class":1577},[1563,2670,2671],{"class":1577}," new",[1563,2673,2674],{"class":1573}," Map",[1563,2676,2677],{"class":1598},"()",[1563,2679,1620],{"class":1577},[1563,2681,2682],{"class":1565,"line":1656},[1563,2683,1910],{"emptyLinePlaceholder":1909},[1563,2685,2686,2688,2690,2692,2694,2696,2698,2700,2702,2704,2707,2709,2711,2713,2715,2717,2719],{"class":1565,"line":1782},[1563,2687,1729],{"class":1594},[1563,2689,1599],{"class":1598},[1563,2691,1734],{"class":1569},[1563,2693,1954],{"class":1602},[1563,2695,1719],{"class":1577},[1563,2697,1722],{"class":1608},[1563,2699,1681],{"class":1577},[1563,2701,1954],{"class":1602},[1563,2703,1985],{"class":1577},[1563,2705,2706],{"class":1602}," s",[1563,2708,1662],{"class":1577},[1563,2710,1891],{"class":1602},[1563,2712,1681],{"class":1577},[1563,2714,1954],{"class":1602},[1563,2716,1757],{"class":1577},[1563,2718,1612],{"class":1598},[1563,2720,1762],{"class":1577},[1563,2722,2723,2726,2729,2731,2733,2735,2737,2739],{"class":1565,"line":1791},[1563,2724,2725],{"class":1569},"        const",[1563,2727,2728],{"class":1602}," char",[1563,2730,1719],{"class":1577},[1563,2732,2706],{"class":1602},[1563,2734,1925],{"class":1598},[1563,2736,2118],{"class":1602},[1563,2738,1931],{"class":1598},[1563,2740,1620],{"class":1577},[1563,2742,2743,2745,2747,2750,2752,2755,2757,2760,2762,2765,2767,2769,2772,2774,2776,2778,2781,2783,2785],{"class":1565,"line":1796},[1563,2744,2007],{"class":1594},[1563,2746,1599],{"class":1598},[1563,2748,2749],{"class":1602},"map",[1563,2751,1662],{"class":1577},[1563,2753,2754],{"class":1573},"has",[1563,2756,1578],{"class":1598},[1563,2758,2759],{"class":1602},"char",[1563,2761,1612],{"class":1598},[1563,2763,2764],{"class":1577},"&&",[1563,2766,2666],{"class":1602},[1563,2768,1662],{"class":1577},[1563,2770,2771],{"class":1573},"get",[1563,2773,1578],{"class":1598},[1563,2775,2759],{"class":1602},[1563,2777,1612],{"class":1598},[1563,2779,2780],{"class":1577},">=",[1563,2782,1940],{"class":1602},[1563,2784,1612],{"class":1598},[1563,2786,1762],{"class":1577},[1563,2788,2789,2792,2794,2796,2798,2800,2802,2804,2806,2808,2810],{"class":1565,"line":2004},[1563,2790,2791],{"class":1602},"            left",[1563,2793,1719],{"class":1577},[1563,2795,2666],{"class":1602},[1563,2797,1662],{"class":1577},[1563,2799,2771],{"class":1573},[1563,2801,1578],{"class":1598},[1563,2803,2759],{"class":1602},[1563,2805,1612],{"class":1598},[1563,2807,2521],{"class":1577},[1563,2809,1609],{"class":1608},[1563,2811,1620],{"class":1577},[1563,2813,2814],{"class":1565,"line":2050},[1563,2815,2352],{"class":1577},[1563,2817,2818,2821,2823,2826,2828,2830,2832,2834,2836],{"class":1565,"line":2074},[1563,2819,2820],{"class":1602},"        map",[1563,2822,1662],{"class":1577},[1563,2824,2825],{"class":1573},"set",[1563,2827,1578],{"class":1598},[1563,2829,2759],{"class":1602},[1563,2831,2104],{"class":1577},[1563,2833,1954],{"class":1602},[1563,2835,1585],{"class":1598},[1563,2837,1620],{"class":1577},[1563,2839,2840,2843,2845,2848,2850,2853,2855,2858,2860,2862,2864,2866,2868,2870,2872],{"class":1565,"line":2079},[1563,2841,2842],{"class":1602},"        maxLen",[1563,2844,1719],{"class":1577},[1563,2846,2847],{"class":1602}," Math",[1563,2849,1662],{"class":1577},[1563,2851,2852],{"class":1573},"max",[1563,2854,1578],{"class":1598},[1563,2856,2857],{"class":1602},"maxLen",[1563,2859,2104],{"class":1577},[1563,2861,1954],{"class":1602},[1563,2863,1641],{"class":1577},[1563,2865,1940],{"class":1602},[1563,2867,1632],{"class":1577},[1563,2869,1609],{"class":1608},[1563,2871,1585],{"class":1598},[1563,2873,1620],{"class":1577},[1563,2875,2876],{"class":1565,"line":2084},[1563,2877,1779],{"class":1577},[1563,2879,2880],{"class":1565,"line":2126},[1563,2881,1910],{"emptyLinePlaceholder":1909},[1563,2883,2884,2886,2888],{"class":1565,"line":2131},[1563,2885,1626],{"class":1594},[1563,2887,2653],{"class":1602},[1563,2889,1620],{"class":1577},[1563,2891,2892],{"class":1565,"line":2136},[1563,2893,1653],{"class":1577},[1563,2895,2897],{"class":1565,"line":2896},17,[1563,2898,1910],{"emptyLinePlaceholder":1909},[1563,2900,2902,2904,2906,2908,2910,2913,2915,2918,2922,2924,2926,2928],{"class":1565,"line":2901},18,[1563,2903,1659],{"class":1602},[1563,2905,1662],{"class":1577},[1563,2907,1665],{"class":1573},[1563,2909,1578],{"class":1602},[1563,2911,2912],{"class":1573},"lengthOfLongestSubstring",[1563,2914,1578],{"class":1602},[1563,2916,2917],{"class":1577},"'",[1563,2919,2921],{"class":2920},"sIEYB","abcabcbb",[1563,2923,2917],{"class":1577},[1563,2925,1678],{"class":1602},[1563,2927,1681],{"class":1577},[1563,2929,2930],{"class":1684}," // 3\n",[1819,2932,2933],{},[1525,2934,2935],{},"双指针和滑动窗口适合查找满足条件的子串、子数组，常见于字符串处理、数组遍历等。",[1532,2937],{},[1535,2939,2941],{"id":2940},"小节总结","🧾 小节总结",[1840,2943,2944,2947,2950,2953,2956],{},[1843,2945,2946],{},"递归与迭代是解决问题的基础，两者可根据需求选择",[1843,2948,2949],{},"分治把复杂问题拆解成小问题，便于解决排序等任务",[1843,2951,2952],{},"贪心算法每步选最优，简单快速但不总是最优解",[1843,2954,2955],{},"动态规划通过保存中间结果避免重复计算，适合复杂状态计算",[1843,2957,2958],{},"双指针滑动窗口技巧高效查找字符串和数组的子区间",[1532,2960],{},[1535,2962,2964],{"id":2963},"知识问答qa","❓ 知识问答（Q&A）",[1525,2966,2967,2968,2971],{},"Q：递归和迭代有什么优缺点？",[2969,2970],"br",{},"\nA：递归代码简洁，适合表达树形结构或分治；但可能导致栈溢出。迭代更节省内存，效率高，但代码有时较复杂。",[1525,2973,2974,2975,2977],{},"Q：分治和动态规划有什么区别？",[2969,2976],{},"\nA：分治把问题拆成互相独立的小问题，动态规划适合有重叠子问题且要重复利用子结果的问题。",[1532,2979],{},[1525,2981,2982],{},"🎉 恭喜你已经掌握 递归与迭代、分治思想、贪心算法、动态规划入门、双指针滑动窗口 技能啦！继续练习，你会成为前端算法高手！",[2984,2985,2986],"style",{},"html pre.shiki code .s50WR, html code.shiki .s50WR{--shiki-light:#9C3EDA;--shiki-default:#C792EA;--shiki-dark:#C792EA}html pre.shiki code .swgpB, html code.shiki .swgpB{--shiki-light:#6182B8;--shiki-default:#82AAFF;--shiki-dark:#82AAFF}html pre.shiki code .s86vT, html code.shiki .s86vT{--shiki-light:#39ADB5;--shiki-default:#89DDFF;--shiki-dark:#89DDFF}html pre.shiki code .sK9QF, html code.shiki .sK9QF{--shiki-light:#90A4AE;--shiki-light-font-style:italic;--shiki-default:#EEFFFF;--shiki-default-font-style:italic;--shiki-dark:#BABED8;--shiki-dark-font-style:italic}html pre.shiki code .s8pZq, html code.shiki .s8pZq{--shiki-light:#39ADB5;--shiki-light-font-style:italic;--shiki-default:#89DDFF;--shiki-default-font-style:italic;--shiki-dark:#89DDFF;--shiki-dark-font-style:italic}html pre.shiki code .sd2Uz, html code.shiki .sd2Uz{--shiki-light:#E53935;--shiki-default:#F07178;--shiki-dark:#F07178}html pre.shiki code .sndM8, html code.shiki .sndM8{--shiki-light:#90A4AE;--shiki-default:#EEFFFF;--shiki-dark:#BABED8}html pre.shiki code .smPcV, html code.shiki .smPcV{--shiki-light:#F76D47;--shiki-default:#F78C6C;--shiki-dark:#F78C6C}html pre.shiki code .syuKq, html code.shiki .syuKq{--shiki-light:#90A4AE;--shiki-light-font-style:italic;--shiki-default:#546E7A;--shiki-default-font-style:italic;--shiki-dark:#676E95;--shiki-dark-font-style:italic}html .light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html.light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html .default .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}html.dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}html pre.shiki code .sIEYB, html code.shiki .sIEYB{--shiki-light:#91B859;--shiki-default:#C3E88D;--shiki-dark:#C3E88D}",{"title":1559,"searchDepth":1591,"depth":1591,"links":2988},[2989,2990,2991,2992,2993,2994,2995],{"id":1537,"depth":1591,"text":1538},{"id":1828,"depth":1591,"text":1829},{"id":2190,"depth":1591,"text":2191},{"id":2412,"depth":1591,"text":2413},{"id":2598,"depth":1591,"text":2599},{"id":2940,"depth":1591,"text":2941},{"id":2963,"depth":1591,"text":2964},"这篇文章用简单易懂的语言，结合前端常见场景，讲解递归、分治、贪心、动态规划和双指针滑动窗口算法思想。","md",null,{},{"title":331},{"title":331,"description":2996},"0q0uPsGhff",[3004,3006],{"title":327,"path":328,"stem":329,"description":3005,"children":-1},"本文详细介绍了 JavaScript 中常见的排序和查找算法，适合前端初学者学习和实践。",{"title":335,"path":336,"stem":337,"description":3007,"children":-1},"这篇文章通过树结构深入浅出地讲解深度优先搜索和广度优先搜索，让你轻松理解这两种经典遍历算法。",1784715107365]