feat(amlich): hint ambiguous leap-month input and flag disputed month boundaries

- /duonglich appends a nhuan hint when the queried month is also that
  lunar year's leap month and the exact leap date exists
- both commands append a caveat when the result falls in a lunar month
  starting or ending on one of the seven razor-edge boundaries from
  2072 on (new moon within ~2 minutes of UTC+7 midnight)
- freeze the verified 1800-2199 month structure as golden testdata so
  a self-consistent engine change cannot silently shift boundaries
- close known-issues open questions 1 and 2

docs/amlich-known-issues.md

@@ -35,8 +35,11 @@ Both dates are pinned in `lunar_test.go` `knownDates` so a future
 **Razor-edge lunations from 2072 on.** New moon within ~2 minutes of UTC+7
 midnight, so the month boundary — and therefore output within roughly 30 days
 of it — may differ by one day from future official tables: 09/12/2072,
-15/11/2077, 07/05/2130, 26/05/2150, 17/05/2159, 22/01/2175, 26/01/2199. Not
+15/11/2077, 07/05/2130, 26/05/2150, 17/05/2159, 22/01/2175, 26/01/2199. Those
-fixable today, only documentable. The bot gives no caveat for these dates.
+are the disputed new-moon days themselves; the engine begins each of these
+months on the following day (`disputedMonthStarts` in `lunar.go`). Not fixable
+today. Both commands append a caveat when the result falls in a lunar month
+that starts or ends on one of these boundaries.
 
 **ΔT extrapolation drift.** The two-branch polynomial diverges from actual
 Earth rotation (ΔT has been roughly flat near 69 s since ~2016 against
@@ -64,7 +67,9 @@ source will see a mismatch that is not an error.
 **`/duonglich` defaults inside leap months.** A bare day argument fills in the
 current month as a regular month; the leap month requires the explicit `nhuan`
 flag. In leap years such as 2028 (leap 5) and 2031 (leap 3) this is ambiguous
-to the user, but the output is correct for what was entered.
+to the user, but the output is correct for what was entered. When the queried
+month is also that year's leap month (and the exact leap date exists), the
+reply appends a hint suggesting the `nhuan` flag.
 
 ## Handled, with regression tests
 
@@ -77,14 +82,20 @@ to the user, but the output is correct for what was entered.
 
 ## Open questions
 
-1. Should the seven razor-edge lunations from 2072 on carry a caveat in the
+1. ~~Should the seven razor-edge lunations carry a caveat?~~ Resolved: both
-   bot's reply? Currently silent.
+   commands append a caveat for results in the lunar months touching those
-2. Should pre-1968 UTC+8 be modelled explicitly? The current algorithm matches
+   boundaries — months only, not the whole lunar year.
-   the published record on both known razor-edge cases by numeric coincidence
+2. ~~Should pre-1968 UTC+8 be modelled explicitly?~~ Closed: don't build. Per
-   rather than by rule. An explicit UTC+8 mode would change roughly 1/24 of
+   Hồ Ngọc Đức's historic-calendar notes it is not even a single rule — the
-   pre-1968 month boundaries and diverge from the standard everyone else uses —
+   North used UTC+8 from 1945–67, but the South used UTC+7 until 1959 and
-   not worth doing unless a user reports a concrete mismatch.
+   UTC+8 only from 1960–67, with dynastic tables before 1945. Any concrete
+   user-reported mismatch gets a doc note, not a mode.
 3. Revisit the ΔT model if the flat IERS trend persists. A data-driven update
-   only pays off near razor-edge boundaries.
+   only pays off near razor-edge boundaries — and would diverge from the
+   reference algorithm the whole ecosystem runs, so it needs official tables
+   as cover before it is worth it.
 4. Watch for state calendar bureau tables published past 2100; they would be
-   the first ground truth for the 2072+ disputes.
+   the first ground truth for the 2072+ disputes. Related far-future
+   uncertainty in the same bucket: the CGPM votes in late 2026 on abolishing
+   the leap second, which would let civil UTC+7 drift slowly from the
+   astronomical time the algorithm models.

internal/modules/amlich/golden_test.go

@@ -0,0 +1,105 @@
+package amlich
+
+import (
+	"flag"
+	"fmt"
+	"os"
+	"path/filepath"
+	"sort"
+	"strings"
+	"testing"
+)
+
+var update = flag.Bool("update", false, "regenerate golden files")
+
+// goldenTable renders every lunar year in the supported range as one line:
+// "YYYY L n1 n2 ... nN" — L is the leap month number (0 = none) and n* are the
+// month lengths in chronological order starting at tháng 1, with the leap
+// month in sequence (12 entries for a normal year, 13 for a leap year).
+func goldenTable(t *testing.T) string {
+	t.Helper()
+	var b strings.Builder
+	for year := minLunarYear; year <= maxLunarYear; year++ {
+		type monthStart struct {
+			jd, month int
+			leap      bool
+		}
+		var starts []monthStart
+		for m := 1; m <= 12; m++ {
+			dd, mm, yy, err := lunarToSolar(1, m, year, false)
+			if err != nil {
+				t.Fatalf("lunarToSolar(1, %d, %d): %v", m, year, err)
+			}
+			starts = append(starts, monthStart{jdFromDate(dd, mm, yy), m, false})
+			if dd, mm, yy, err := lunarToSolar(1, m, year, true); err == nil {
+				starts = append(starts, monthStart{jdFromDate(dd, mm, yy), m, true})
+			}
+		}
+		sort.Slice(starts, func(i, j int) bool { return starts[i].jd < starts[j].jd })
+		// The last month of year Y ends where tháng 1 of Y+1 begins. For
+		// maxLunarYear this evaluates the engine one year past the supported
+		// range, which the astronomy handles fine — only the bot commands
+		// enforce the bounds.
+		dd, mm, yy, err := lunarToSolar(1, 1, year+1, false)
+		if err != nil {
+			t.Fatalf("lunarToSolar(1, 1, %d): %v", year+1, err)
+		}
+		nextYearStart := jdFromDate(dd, mm, yy)
+		leapMonth := 0
+		for _, s := range starts {
+			if s.leap {
+				leapMonth = s.month
+			}
+		}
+		if want := 12; (leapMonth == 0 && len(starts) != want) || (leapMonth != 0 && len(starts) != want+1) {
+			t.Fatalf("year %d: %d month starts with leap month %d", year, len(starts), leapMonth)
+		}
+		fmt.Fprintf(&b, "%d %d", year, leapMonth)
+		for i, s := range starts {
+			end := nextYearStart
+			if i+1 < len(starts) {
+				end = starts[i+1].jd
+			}
+			if length := end - s.jd; length != 29 && length != 30 {
+				t.Fatalf("year %d month %d (leap=%v): length %d days", year, s.month, s.leap, length)
+			} else {
+				fmt.Fprintf(&b, " %d", length)
+			}
+		}
+		b.WriteByte('\n')
+	}
+	return b.String()
+}
+
+// TestGoldenTable compares the engine's full 1800–2199 month structure against
+// the committed golden file. The round-trip test proves the two conversion
+// directions agree with each other; this pins the verified boundary placement
+// itself, so a future engine change cannot shift months while staying
+// self-consistent. Regenerate deliberately with:
+//
+//	go test ./internal/modules/amlich/ -run TestGoldenTable -update
+func TestGoldenTable(t *testing.T) {
+	got := goldenTable(t)
+	golden := filepath.Join("testdata", "lunar-years-1800-2199.txt")
+	if *update {
+		if err := os.WriteFile(golden, []byte(got), 0o644); err != nil {
+			t.Fatalf("write golden file: %v", err)
+		}
+		return
+	}
+	want, err := os.ReadFile(golden)
+	if err != nil {
+		t.Fatalf("read golden file (regenerate with -update): %v", err)
+	}
+	if got == string(want) {
+		return
+	}
+	gotLines := strings.Split(got, "\n")
+	wantLines := strings.Split(string(want), "\n")
+	for i := 0; i < len(gotLines) && i < len(wantLines); i++ {
+		if gotLines[i] != wantLines[i] {
+			t.Fatalf("golden mismatch at line %d:\n got: %s\nwant: %s", i+1, gotLines[i], wantLines[i])
+		}
+	}
+	t.Fatalf("golden mismatch: got %d lines, want %d", len(gotLines), len(wantLines))
+}

internal/modules/amlich/handlers.go

@@ -27,6 +27,15 @@ const duonglichUsage = `Cách dùng: /duonglich <dd[/mm[/yyyy]]> [nhuan] — đ
 // next to the algorithm it protects.
 var yearRangeMessage = fmt.Sprintf("Chỉ hỗ trợ các năm từ %d đến %d.", minLunarYear, maxLunarYear)
 
+// leapHintFormat is appended to a /duonglich reply when the queried month is
+// also that year's leap month and the user gave no "nhuan" flag — the input
+// was ambiguous, and the answer shown is for the regular month.
+const leapHintFormat = `Lưu ý: năm âm lịch %d có tháng %d nhuận — thêm "nhuan" nếu ý bạn là tháng nhuận.`
+
+// disputedCaveat is appended when the result falls in a lunar month whose
+// boundary is astronomically too close to call (see disputedMonthStarts).
+const disputedCaveat = "Lưu ý: ngày này gần ranh giới tháng âm lịch chưa chắc chắn; kết quả có thể lệch 1 ngày so với lịch chính thức sau này."
+
 func amlichCommand() modules.Command {
 	return modules.Command{
 		Name:        "amlich",
@@ -55,6 +64,9 @@ func amlichCommand() modules.Command {
 			lunarDay, lunarMonth, lunarYear, leap := solarToLunar(day, month, year)
 			text := fmt.Sprintf("Dương lịch %02d/%02d/%d là ngày %d tháng %d%s năm %s %d âm lịch.",
 				day, month, year, lunarDay, lunarMonth, leapLabel(leap), canChiYear(lunarYear), lunarYear)
+			if nearDisputedBoundary(jdFromDate(day, month, year)) {
+				text += "\n" + disputedCaveat
+			}
 			return chathelper.Reply(ctx, b, update.Message, text)
 		},
 	}
@@ -102,6 +114,17 @@ func duonglichCommand() modules.Command {
 			}
 			text := fmt.Sprintf("Âm lịch ngày %d tháng %d%s năm %s %d là %02d/%02d/%d dương lịch.",
 				day, month, leapLabel(leap), canChiYear(year), year, solarDay, solarMonth, solarYear)
+			// A bare month is ambiguous when the year also has that month as a
+			// leap month and the exact leap date exists; probing lunarToSolar
+			// reuses its validation (a 29-day leap month can't hide a day 30).
+			if !leap {
+				if _, _, _, hintErr := lunarToSolar(day, month, year, true); hintErr == nil {
+					text += "\n" + fmt.Sprintf(leapHintFormat, year, month)
+				}
+			}
+			if nearDisputedBoundary(jdFromDate(solarDay, solarMonth, solarYear)) {
+				text += "\n" + disputedCaveat
+			}
 			return chathelper.Reply(ctx, b, update.Message, text)
 		},
 	}

internal/modules/amlich/handlers_test.go

@@ -202,6 +202,56 @@ func TestDuonglich_RejectsWrongLeapMonth(t *testing.T) {
 	}
 }
 
+// A bare month that is also the year's leap month is ambiguous input; the
+// reply must carry the disambiguation hint — and only then.
+func TestDuonglich_LeapMonthHint(t *testing.T) {
+	solarDay, solarMonth, solarYear, err := lunarToSolar(5, 5, 2028, false)
+	if err != nil {
+		t.Fatalf("lunarToSolar(5/5/2028): %v", err)
+	}
+	want := fmt.Sprintf("Âm lịch ngày 5 tháng 5 năm Mậu Thân 2028 là %02d/%02d/%d dương lịch.\n", solarDay, solarMonth, solarYear) +
+		`Lưu ý: năm âm lịch 2028 có tháng 5 nhuận — thêm "nhuan" nếu ý bạn là tháng nhuận.`
+	if got := replyFor(t, "/duonglich 5/5/2028"); got != want {
+		t.Errorf("reply = %q, want %q", got, want)
+	}
+}
+
+func TestDuonglich_NoHintWhenNhuanExplicit(t *testing.T) {
+	if got := replyFor(t, "/duonglich 5/5/2028 nhuan"); strings.Contains(got, "Lưu ý") {
+		t.Errorf("explicit nhuan reply = %q, want no hint", got)
+	}
+}
+
+func TestDuonglich_NoHintWithoutLeapMonth(t *testing.T) {
+	if got := replyFor(t, "/duonglich 5/5/2027"); strings.Contains(got, "Lưu ý") {
+		t.Errorf("non-leap-year reply = %q, want no hint", got)
+	}
+}
+
+// Dates inside a lunar month touching a disputed boundary (see
+// disputedMonthStarts) must carry the caveat; nearby ordinary dates must not.
+// Absence on modern dates is also pinned by the exact-string assertions in
+// TestAmlich_ConvertsKnownDate and TestDuonglich_ConvertsKnownDate.
+func TestAmlich_DisputedBoundaryCaveat(t *testing.T) {
+	if got := replyFor(t, "/amlich 20/12/2072"); !strings.HasSuffix(got, "\n"+disputedCaveat) {
+		t.Errorf("reply = %q, want disputed-boundary caveat", got)
+	}
+	if got := replyFor(t, "/amlich 01/06/2072"); strings.Contains(got, "Lưu ý") {
+		t.Errorf("reply = %q, want no caveat", got)
+	}
+}
+
+func TestDuonglich_DisputedBoundaryCaveat(t *testing.T) {
+	lunarDay, lunarMonth, lunarYear, leap := solarToLunar(20, 12, 2072)
+	cmd := fmt.Sprintf("/duonglich %d/%d/%d", lunarDay, lunarMonth, lunarYear)
+	if leap {
+		cmd += " nhuan"
+	}
+	if got := replyFor(t, cmd); !strings.HasSuffix(got, "\n"+disputedCaveat) {
+		t.Errorf("reply for %q = %q, want disputed-boundary caveat", cmd, got)
+	}
+}
+
 func TestDuonglich_InvalidInputRepliesUsage(t *testing.T) {
 	for _, text := range []string{
 		"/duonglich",

internal/modules/amlich/lunar.go

@@ -251,6 +251,36 @@ func lunarToSolar(day, month, year int, leap bool) (dd, mm, yy int, err error) {
 	return dd, mm, yy, nil
 }
 
+// disputedMonthStarts holds the Julian day numbers of the lunar-month starts
+// whose defining new moon falls within ~2 minutes of UTC+7 midnight, where
+// ΔT uncertainty exceeds the margin — the true boundary may sit one day
+// earlier in future official tables (see docs/amlich-known-issues.md, which
+// lists the disputed new-moon days themselves; this engine begins each of
+// these months on the following day). Conversions touching these months carry
+// a caveat in the bot's reply.
+var disputedMonthStarts = map[int]bool{
+	jdFromDate(10, 12, 2072): true,
+	jdFromDate(16, 11, 2077): true,
+	jdFromDate(8, 5, 2130):   true,
+	jdFromDate(27, 5, 2150):  true,
+	jdFromDate(18, 5, 2159):  true,
+	jdFromDate(23, 1, 2175):  true,
+	jdFromDate(27, 1, 2199):  true,
+}
+
+// nearDisputedBoundary reports whether the lunar month containing the solar
+// day jdn starts or ends on a disputed boundary — i.e. whether the conversion
+// result for that day could shift by one day against future official tables.
+func nearDisputedBoundary(jdn int) bool {
+	k := floorInt((float64(jdn) - jdNewMoonEpoch) / newMoonCycle)
+	monthStart := getNewMoonDay(k + 1)
+	for monthStart > jdn {
+		k--
+		monthStart = getNewMoonDay(k + 1)
+	}
+	return disputedMonthStarts[monthStart] || disputedMonthStarts[getNewMoonDay(k+2)]
+}
+
 // canNames and chiNames are the sexagesimal-cycle stems and branches used to
 // name lunar years (Giáp Thìn, Ất Tỵ, …).
 var canNames = [...]string{"Giáp", "Ất", "Bính", "Đinh", "Mậu", "Kỷ", "Canh", "Tân", "Nhâm", "Quý"}

internal/modules/amlich/lunar_test.go

@@ -203,6 +203,44 @@ func TestLeapMonthTable(t *testing.T) {
 	}
 }
 
+// TestDisputedMonthStarts_AreMonthStarts verifies every entry in the disputed
+// set is an actual lunar-month start per the engine — a mistyped or off-by-one
+// date would silently flag the wrong month.
+func TestDisputedMonthStarts_AreMonthStarts(t *testing.T) {
+	if len(disputedMonthStarts) != 7 {
+		t.Fatalf("disputed set has %d entries, want 7", len(disputedMonthStarts))
+	}
+	for jd := range disputedMonthStarts {
+		dd, mm, yy := jdToDate(jd)
+		day, _, _, _ := solarToLunar(dd, mm, yy)
+		if day != 1 {
+			t.Errorf("%02d/%02d/%d (jd %d) is lunar day %d, want month start (day 1)", dd, mm, yy, jd, day)
+		}
+	}
+}
+
+// TestNearDisputedBoundary covers the month starting on a disputed boundary,
+// the month ending on one, and ordinary dates on both sides.
+func TestNearDisputedBoundary(t *testing.T) {
+	cases := []struct {
+		dd, mm, yy int
+		want       bool
+	}{
+		{10, 12, 2072, true}, // first day of the disputed month
+		{20, 12, 2072, true}, // inside the month starting on the disputed boundary
+		{9, 12, 2072, true},  // last day of the month ending on the disputed boundary
+		{1, 12, 2072, true},  // inside the month ending on the disputed boundary
+		{1, 6, 2072, false},  // same year, far from the boundary
+		{1, 2, 2073, false},  // after the disputed month
+		{29, 1, 2025, false}, // ordinary modern date
+	}
+	for _, tc := range cases {
+		if got := nearDisputedBoundary(jdFromDate(tc.dd, tc.mm, tc.yy)); got != tc.want {
+			t.Errorf("nearDisputedBoundary(%02d/%02d/%d) = %v, want %v", tc.dd, tc.mm, tc.yy, got, tc.want)
+		}
+	}
+}
+
 func TestCanChiYear(t *testing.T) {
 	for year, want := range map[int]string{
 		2024: "Giáp Thìn",

internal/modules/amlich/testdata/lunar-years-1800-2199.txt

@@ -0,0 +1,400 @@
+1800 4 30 29 30 29 30 30 29 30 29 30 29 29 30
+1801 0 29 30 30 29 30 29 30 30 29 30 29 30
+1802 0 29 29 30 29 30 29 30 30 29 30 30 29
+1803 2 30 29 29 30 29 30 29 30 30 29 30 30 29
+1804 0 30 29 29 30 29 29 30 30 29 30 30 30
+1805 7 29 30 29 29 30 29 29 30 29 30 30 30 29
+1806 0 30 30 29 29 30 29 29 30 29 30 30 29
+1807 0 30 30 30 29 29 30 29 29 30 29 30 29
+1808 5 30 30 30 29 30 29 30 29 29 30 29 30 29
+1809 0 30 30 29 30 30 29 30 29 30 29 29 30
+1810 0 29 30 29 30 30 29 30 29 30 30 29 30
+1811 3 29 29 30 29 30 29 30 30 29 30 30 29 30
+1812 0 29 29 30 29 30 29 30 29 30 30 30 29
+1813 0 30 29 29 30 29 29 30 29 30 30 30 29
+1814 2 30 30 29 29 30 29 29 30 29 30 30 29 30
+1815 0 30 30 29 29 30 29 29 30 29 30 29 30
+1816 6 30 30 29 30 29 30 29 29 30 29 30 29 30
+1817 0 30 29 30 30 29 30 29 29 30 29 30 29
+1818 0 30 29 30 30 29 30 30 29 30 29 29 30
+1819 4 29 30 29 30 29 30 30 29 30 30 29 30 29
+1820 0 29 30 29 30 29 30 29 30 30 29 30 30
+1821 0 29 29 30 29 29 30 29 30 30 30 29 30
+1822 3 30 29 29 30 29 29 30 29 30 30 29 30 30
+1823 0 30 29 29 30 29 29 30 29 30 29 30 30
+1824 7 30 29 30 29 30 29 29 30 29 30 29 30 30
+1825 0 29 30 30 29 30 29 29 30 29 30 29 30
+1826 0 29 30 30 30 29 30 29 29 30 29 30 29
+1827 5 30 29 30 30 29 30 29 30 29 30 29 30 29
+1828 0 30 29 30 29 30 29 30 30 29 30 29 30
+1829 0 29 30 29 30 29 30 29 30 30 29 30 30
+1830 4 29 29 30 29 29 30 29 30 30 29 30 30 30
+1831 0 29 29 30 29 29 30 29 30 29 30 30 30
+1832 9 29 30 29 30 29 29 30 29 30 29 30 30 30
+1833 0 29 30 29 30 29 29 30 29 30 29 30 30
+1834 0 29 30 30 29 30 29 29 30 29 30 29 30
+1835 6 29 30 30 29 30 30 29 29 30 29 30 29 30
+1836 0 29 30 29 30 30 29 30 29 30 29 30 29
+1837 0 30 29 30 29 30 29 30 30 29 30 29 30
+1838 4 29 30 29 29 30 29 30 30 29 30 30 29 30
+1839 0 29 30 29 29 30 29 30 29 30 30 30 29
+1840 0 30 29 30 29 29 30 29 30 29 30 30 30
+1841 3 29 30 29 30 29 29 30 29 29 30 30 29 30
+1842 0 30 30 29 30 29 29 30 29 29 30 30 29
+1843 7 30 30 29 30 30 29 29 30 29 30 29 30 29
+1844 0 30 29 30 30 29 30 29 30 29 30 29 30
+1845 0 29 30 29 30 29 30 30 29 30 29 30 29
+1846 5 30 29 29 30 30 29 30 29 30 30 29 30 29
+1847 0 30 29 29 30 29 30 29 30 30 30 29 30
+1848 0 29 30 29 29 30 29 30 29 30 30 29 30
+1849 4 30 29 30 29 29 30 29 29 30 30 29 30 30
+1850 0 30 29 30 29 29 30 29 29 30 30 29 30
+1851 8 30 30 29 30 29 29 30 29 29 30 29 30 30
+1852 0 30 29 30 29 30 29 30 29 29 30 29 30
+1853 0 30 29 30 30 29 30 29 30 29 30 29 30
+1854 7 29 29 30 30 29 30 30 29 30 29 30 29 30
+1855 0 29 29 30 29 30 30 29 30 30 29 30 29
+1856 0 30 29 29 30 29 30 29 30 30 29 30 30
+1857 5 29 30 29 29 30 29 29 30 30 29 30 30 30
+1858 0 29 30 29 29 30 29 29 30 29 30 30 30
+1859 0 30 29 30 29 29 30 29 29 30 29 30 30
+1860 3 30 29 30 30 29 29 30 29 29 30 29 30 30
+1861 0 29 30 30 29 30 29 30 29 29 30 29 30
+1862 8 29 30 30 29 30 30 29 30 29 30 29 29 30
+1863 0 29 30 29 30 30 29 30 30 29 30 29 30
+1864 0 29 29 30 29 30 29 30 30 29 30 30 29
+1865 5 30 29 29 30 29 30 29 30 29 30 30 30 29
+1866 0 30 29 29 30 29 29 30 29 30 30 30 30
+1867 0 29 30 29 29 30 29 29 30 29 30 30 30
+1868 4 29 30 30 29 29 30 29 29 30 29 30 30 29
+1869 0 30 30 29 30 29 30 29 29 30 29 30 29
+1870 10 30 30 30 29 30 29 30 29 29 30 29 30 29
+1871 0 30 30 29 30 30 29 30 29 30 29 29 30
+1872 0 29 30 29 30 30 29 30 29 30 30 29 30
+1873 6 29 29 30 29 30 29 30 30 29 30 30 29 30
+1874 0 29 29 30 29 29 30 30 29 30 30 30 29
+1875 0 30 29 29 30 29 29 30 29 30 30 30 29
+1876 5 30 30 29 29 30 29 29 30 29 30 30 29 30
+1877 0 30 30 29 29 30 29 29 30 29 30 29 30
+1878 0 30 30 29 30 29 30 29 29 30 29 30 29
+1879 3 30 30 29 30 30 29 30 29 29 30 29 30 29
+1880 0 30 29 30 30 29 30 29 30 29 30 29 30
+1881 7 29 30 29 30 29 30 30 29 30 29 30 29 30
+1882 0 29 30 29 30 29 30 29 30 30 29 30 30
+1883 0 29 29 30 29 29 30 29 30 30 30 29 30
+1884 5 30 29 29 30 29 29 30 29 30 30 29 30 30
+1885 0 30 29 29 30 29 29 30 29 30 29 30 30
+1886 0 30 29 30 29 30 29 29 30 29 30 29 30
+1887 4 30 29 30 30 29 30 29 29 30 29 30 29 30
+1888 0 29 30 30 29 30 30 29 29 30 29 30 29
+1889 0 30 29 30 30 29 30 29 30 29 30 29 30
+1890 2 29 30 29 30 29 30 29 30 30 29 30 29 30
+1891 0 29 30 29 29 30 30 29 30 30 29 30 29
+1892 6 30 29 30 29 29 30 29 30 30 29 30 30 29
+1893 0 30 29 30 29 29 30 29 30 29 30 30 30
+1894 0 29 30 29 30 29 29 30 29 30 29 30 30
+1895 5 29 30 30 29 30 29 29 30 29 30 29 30 29
+1896 0 30 30 30 29 30 29 29 30 29 30 29 30
+1897 0 29 30 30 29 30 29 30 29 30 29 30 29
+1898 3 30 29 30 29 30 30 29 30 29 30 29 30 29
+1899 0 30 29 30 29 30 29 30 30 29 30 29 30
+1900 8 29 30 29 29 30 29 30 30 29 30 30 29 30
+1901 0 29 30 29 29 30 29 30 29 30 30 30 29
+1902 0 30 29 30 29 29 30 29 30 29 30 30 29
+1903 5 30 30 29 30 29 29 30 29 29 30 30 29 30
+1904 0 30 30 29 30 29 29 30 29 29 30 30 29
+1905 0 30 30 29 30 30 29 29 30 29 29 30 30
+1906 4 29 30 29 30 30 29 30 29 30 29 30 29 30
+1907 0 29 30 29 30 29 30 30 29 30 29 30 29
+1908 0 30 29 29 30 29 30 30 29 30 30 29 30
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