r 每年按特定日期匯總數據
[英]r summarize data by specific date for each year
問題描述
我有50年的每日降水數據：
| 年 | 月 | 天 | daily_prec | 日期 |
|---|---|---|---|---|
| 1960 | 1 | 1 | 3 | 1960-01-01 |
| 1960 | 1 | 2 | 0 | 1960-02-01 |
對於每一年，我想在一個新的 df 中獲得植被季節某些特定日子的降水量，例如：從 1975-05-22 到 1975-07-15，從 1976-05-22 到 1976-06 -15 等
| 年 | 開始 | 結尾 | 和 | 意思是 |
|---|---|---|---|---|
| 1975年 | 1975-22-05 | 1975-15-07 | 5 | 3 |
| 1976年 | 1976-22-05 | 1976-15-07 | 2 | 1 |
任何建議如何做到這一點？
2 個解決方案
解決方案1
1 2021-12-01 11:13:21
您可以編寫一個 function 來過濾由開始日期和結束日期分隔的時段的每日降水 dataframe，然后按行應用。 在此示例中，dataframe 是分開的，但您可以使用相同的 da
daily_prec_df <- data.frame(
date = seq(as.Date("1960-01-01"), as.Date("1965-01-01"), by=1)
)
library(lubridate)
daily_prec_df <- daily_prec_df %>%
mutate(
year = year(date),
month = month(date),
day = day(date),
daily_prec = sample(1:10, replace = T, size = nrow(daily_prec_df))
)
get_period_aggregates <- function(start, end) {
res_df <- daily_prec_df %>%
filter(date >= start, date <= end) %>%
summarize(sum = sum(daily_prec), mean=mean(daily_prec))
}
aggregate_df <- data.frame(
year = c(1961, 1962),
start = as.Date(c("1961-05-22", "1962-05-22")),
end = as.Date(c("1961-06-22", "1962-06-22"))
)
aggregate_df %>%
rowwise() %>%
mutate(
sum = get_period_aggregates(start, end)$sum,
mean = get_period_aggregates(start, end)$mean
)
# A tibble: 2 x 5
# Rowwise:
year start end sum mean
<dbl> <date> <date> <int> <dbl>
1 1961 1961-05-22 1961-06-22 169 5.28
2 1962 1962-05-22 1962-06-22 206 6.44
解決方案2
1 2021-12-01 11:26:44
您可以將任意年份（如此處顯示的當前年份）粘貼到日月並使用<=將數據子集直到"YYYY-07-15" ，然后使用aggregate() 。
u <- as.POSIXct(substring(as.character(dat$date), 6), '%m-%d', tz='UTC') <=
as.POSIXct(paste0(strftime(Sys.Date(), '%Y'), '-07-15'), tz='UTC')
aggregate(prec ~ year, dat[u, ], function(x) c(sum=sum(x), mean=mean(x)))
# year prec.sum prec.mean
# 1 75 1014.000000 5.173469
# 2 76 926.000000 4.724490
# 3 77 968.000000 4.938776
查看：
sum(dat[dat$date <= as.Date('1975-07-15'), 'prec'])
# [1] 1014
mean(dat[dat$date <= as.Date('1975-07-15'), 'prec'])
# [1] 5.173469
注意：在aggregate()中，您也可以使用prec ~ substr(dat$date, 1, 4)而不是prec ~ year ，因此您甚至不需要事先將日期分解為其各個組件。
編輯
四個一次 window，你可以這樣做：
u1 <- as.POSIXct(substring(as.character(dat$date), 6), '%m-%d', tz='UTC')
u <- u1 <= as.POSIXct(paste0(strftime(Sys.Date(), '%Y'), '-07-15'), tz='UTC') &
u1 >= as.POSIXct(paste0(strftime(Sys.Date(), '%Y'), '-06-15'), tz='UTC')
aggregate(prec ~ year, dat[u, ], function(x) c(sum=sum(x), mean=mean(x)))
# year prec.sum prec.mean
# 1 75 141.000000 4.548387
# 2 76 146.000000 4.709677
# 3 77 155.000000 5.000000
數據：
dat <- structure(list(date = structure(c(1826, 1827, 1828, 1829, 1830,
1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841,
1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852,
1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863,
1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874,
1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885,
1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896,
1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907,
1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918,
1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929,
1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940,
1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951,
1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962,
1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973,
1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984,
1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995,
1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006,
2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017,
2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028,
2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039,
2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050,
2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061,
2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072,
2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083,
2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094,
2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105,
2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116,
2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127,
2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138,
2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149,
2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160,
2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171,
2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182,
2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193,
2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204,
2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215,
2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226,
2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237,
2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248,
2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259,
2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270,
2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281,
2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292,
2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303,
2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314,
2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325,
2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336,
2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347,
2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358,
2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369,
2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380,
2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391,
2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402,
2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413,
2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424,
2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435,
2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446,
2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457,
2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468,
2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479,
2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490,
2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501,
2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512,
2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523,
2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534,
2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545,
2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556,
2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567,
2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578,
2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589,
2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600,
2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611,
2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622,
2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633,
2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644,
2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655,
2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666,
2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677,
2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688,
2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699,
2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710,
2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721,
2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732,
2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743,
2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754,
2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765,
2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776,
2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787,
2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798,
2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809,
2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820,
2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831,
2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842,
2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853,
2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864,
2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875,
2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886,
2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897,
2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908,
2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919,
2920, 2921), class = "Date"), month = c(1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10,
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12, 12, 12, 12, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10,
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12, 12, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9,
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12), day = c(1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L,
12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L,
25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L,
8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L,
21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 1L, 2L, 3L, 4L, 5L, 6L,
7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L,
20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L,
2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L,
16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L,
29L, 30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L,
13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L,
26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L,
9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L,
22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 1L, 2L, 3L, 4L,
5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L,
19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L,
1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L,
15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L,
28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L,
11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L,
24L, 25L, 26L, 27L, 28L, 29L, 30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L,
8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L,
21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L,
3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L,
17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L,
30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L,
14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L,
27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L,
10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L,
23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L,
5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L,
19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 1L, 2L,
3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L,
17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L,
30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L,
13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L,
26L, 27L, 28L, 29L, 30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L,
10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L,
23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L,
5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L,
19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 1L,
2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L,
16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L,
29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L,
12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L,
25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L,
8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L,
21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 1L, 2L, 3L,
4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L,
18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L,
31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L,
14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L,
27L, 28L, 29L, 30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L,
11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L,
24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L,
7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L,
20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L,
2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L,
16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L,
1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L,
15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L,
28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L,
11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L,
24L, 25L, 26L, 27L, 28L, 29L, 30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L,
8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L,
21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L,
3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L,
17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L,
30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L,
14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L,
27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L,
10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L,
23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 1L, 2L, 3L, 4L,
5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L,
19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 1L,
2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L,
16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L,
29L, 30L, 31L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L,
12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L,
25L, 26L, 27L, 28L, 29L, 30L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L,
9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L,
22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L), year = c(75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L, 75L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L, 76L,
76L, 76L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L, 77L,
77L, 77L, 77L), prec = c(9, 9, 3, 8, 6, 5, 7, 1, 7, 7, 5, 7,
9, 3, 5, 9, 10, 1, 5, 6, 9, 1, 10, 9, 1, 5, 4, 9, 4, 8, 7, 8,
4, 7, 0, 8, 0, 2, 9, 6, 4, 4, 0, 10, 4, 10, 9, 6, 10, 6, 3, 3,
4, 8, 0, 7, 7, 2, 3, 5, 7, 10, 8, 6, 8, 2, 3, 8, 7, 2, 0, 1,
2, 5, 2, 7, 0, 4, 5, 0, 6, 2, 4, 6, 8, 6, 2, 1, 1, 3, 7, 0, 2,
9, 9, 7, 3, 5, 7, 6, 6, 2, 2, 4, 9, 10, 7, 7, 5, 0, 6, 8, 8,
5, 5, 5, 0, 4, 6, 8, 4, 4, 6, 6, 7, 4, 9, 10, 2, 7, 9, 6, 6,
9, 9, 6, 8, 1, 8, 6, 1, 1, 5, 8, 7, 8, 2, 9, 3, 1, 7, 3, 8, 4,
7, 8, 2, 0, 1, 7, 9, 6, 6, 2, 5, 2, 5, 3, 1, 2, 7, 4, 4, 5, 4,
1, 8, 6, 8, 8, 9, 9, 3, 3, 7, 7, 9, 8, 1, 3, 2, 8, 1, 1, 1, 1,
5, 1, 7, 7, 9, 5, 9, 4, 2, 4, 10, 5, 3, 3, 5, 6, 3, 1, 5, 8,
6, 4, 5, 9, 5, 2, 5, 10, 3, 8, 3, 2, 0, 2, 4, 2, 3, 0, 10, 8,
1, 9, 6, 4, 1, 6, 1, 2, 5, 5, 2, 1, 5, 9, 3, 2, 3, 5, 0, 8, 1,
5, 6, 6, 7, 1, 3, 9, 5, 1, 9, 2, 9, 9, 1, 8, 5, 1, 9, 3, 3, 4,
5, 4, 5, 0, 2, 10, 3, 2, 5, 0, 3, 0, 9, 7, 3, 4, 3, 1, 8, 6,
1, 0, 5, 4, 1, 3, 9, 9, 4, 2, 3, 3, 1, 10, 5, 1, 2, 9, 3, 7,
9, 10, 4, 4, 1, 3, 6, 9, 4, 8, 7, 8, 9, 0, 2, 4, 7, 5, 5, 3,
8, 3, 4, 1, 8, 4, 0, 0, 10, 4, 8, 9, 4, 6, 1, 2, 7, 5, 7, 10,
5, 5, 6, 7, 3, 10, 6, 6, 6, 9, 4, 3, 1, 3, 8, 1, 7, 10, 2, 1,
1, 8, 6, 5, 4, 3, 6, 8, 1, 10, 2, 1, 9, 5, 7, 2, 7, 5, 10, 9,
6, 1, 0, 5, 6, 4, 9, 1, 10, 3, 1, 4, 1, 6, 2, 7, 1, 2, 3, 8,
4, 1, 1, 5, 10, 8, 5, 1, 5, 3, 7, 5, 5, 5, 4, 1, 9, 0, 4, 2,
1, 5, 7, 9, 4, 9, 3, 5, 1, 8, 7, 1, 4, 4, 7, 7, 4, 3, 3, 7, 9,
8, 4, 1, 8, 1, 1, 6, 3, 2, 4, 9, 3, 0, 9, 10, 5, 5, 6, 9, 2,
8, 2, 6, 8, 1, 9, 5, 9, 2, 1, 0, 10, 5, 8, 4, 5, 2, 8, 3, 2,
0, 1, 2, 5, 8, 1, 9, 6, 1, 9, 3, 2, 8, 2, 3, 5, 3, 2, 3, 4, 6,
8, 9, 8, 1, 6, 7, 0, 9, 5, 3, 9, 2, 8, 6, 4, 1, 0, 5, 5, 2, 7,
10, 5, 2, 6, 8, 7, 2, 3, 3, 9, 2, 7, 1, 1, 1, 9, 3, 9, 8, 8,
2, 0, 0, 3, 3, 7, 3, 5, 8, 6, 2, 10, 0, 2, 6, 0, 0, 6, 6, 2,
9, 7, 6, 2, 5, 10, 10, 5, 7, 3, 8, 4, 10, 8, 5, 5, 3, 1, 5, 5,
3, 8, 3, 5, 5, 8, 2, 4, 5, 5, 5, 7, 4, 8, 9, 1, 2, 5, 3, 5, 6,
2, 7, 2, 7, 3, 4, 7, 5, 3, 2, 2, 2, 6, 7, 1, 5, 9, 7, 3, 1, 6,
8, 5, 7, 5, 4, 10, 9, 2, 10, 9, 7, 5, 5, 2, 1, 5, 3, 8, 9, 3,
8, 2, 8, 6, 4, 8, 3, 5, 8, 1, 4, 1, 1, 2, 3, 3, 4, 5, 9, 7, 10,
3, 8, 1, 1, 7, 5, 6, 1, 9, 8, 0, 7, 5, 9, 9, 5, 8, 5, 2, 7, 8,
7, 2, 3, 3, 6, 9, 9, 4, 7, 8, 7, 4, 3, 1, 7, 2, 6, 1, 4, 3, 8,
4, 4, 4, 6, 4, 10, 10, 9, 1, 5, 3, 7, 6, 9, 9, 6, 5, 9, 9, 4,
1, 8, 9, 4, 2, 1, 4, 2, 1, 3, 6, 1, 10, 9, 10, 7, 1, 0, 7, 7,
9, 4, 4, 5, 4, 1, 4, 2, 7, 0, 9, 9, 8, 10, 6, 7, 4, 1, 7, 1,
3, 6, 4, 1, 9, 4, 7, 0, 6, 3, 4, 1, 8, 1, 9, 9, 2, 5, 5, 2, 5,
2, 3, 5, 2, 9, 5, 6, 7, 6, 9, 1, 0, 5, 2, 6, 4, 0, 0, 10, 2,
0, 2, 1, 2, 4, 0, 4, 6, 6, 3, 7, 9, 0, 8, 8, 1, 6, 5, 1, 3, 4,
8, 2, 5, 8, 3, 4, 7, 0, 6, 9, 4, 9, 10, 7, 3, 2, 3, 9, 1, 2,
5, 3, 8, 9, 0, 8, 4, 7, 1, 5, 9, 6, 9, 8, 6, 8, 9, 2, 2, 1, 8,
8, 3, 4, 6, 4, 4, 9, 4, 1, 7, 7, 1, 0, 4, 0, 6, 9, 3, 2, 5, 1,
4, 3, 9, 9, 8, 8, 10, 6, 2, 1, 8, 10, 10, 1, 6, 9, 1, 4, 2, 4,
5, 10, 9, 9, 8, 1, 0, 3, 2, 8, 5, 5, 1, 3, 8, 4, 0, 7, 6, 1,
3, 4, 3, 7, 4, 6, 6, 8, 7, 7, 4, 7, 0, 8, 1, 9, 1, 2, 8, 2, 4,
4, 6, 6, 1, 2, 3, 4, 7, 1, 4, 0, 5, 8, 5, 2, 9, 1, 3, 9, 8, 1,
8, 9, 1, 1, 5, 1, 5, 0, 8, 1, 8, 5, 5, 0, 6, 7, 2, 8, 4, 6, 2,
2, 2, 8, 1, 3, 8, 3, 9, 0, 3, 3, 1, 4, 5, 0, 10, 9, 10, 2, 0,
1, 4, 5, 9, 6, 5, 1, 9, 3, 4, 6, 7, 2, 6, 8, 10, 0, 8, 2, 1,
7, 3, 8, 6, 5, 0, 3, 0, 9, 1, 1, 4, 7, 9, 2, 4, 6, 6, 0, 5, 9,
2, 7, 9, 0, 1, 1, 4, 10, 4, 7, 7, 0, 9, 5, 7, 0, 9, 0, 8, 5,
3, 5)), row.names = c(NA, -1096L), class = "data.frame")
是否有 R function 按國家和年份匯總個人級別數據？
[英]Is there an R function to summarize individual level data by country and year?
確定值更改的日期，並使用R中的sum（）和diff（）匯總數據
[英]Identify a value changes' date and summarize the data with sum() and diff() in R
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