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Wajib.","2026-10-08T09:24:41.433Z",{"id":297,"subjectId":15,"levelId":55,"parentId":98,"slug":1455,"name":1456,"description":1457,"order":1458,"createdAt":1459,"updatedAt":1459},"matriks","Matriks","Matriks — Kelas 11 Lanjut.",13,"2026-10-08T09:24:41.441Z",{"id":1461,"subjectId":24,"levelId":55,"parentId":98,"slug":1462,"name":1463,"description":1464,"order":1458,"createdAt":1465,"updatedAt":1465},"cmuzbyhhz003k71r9s7s8evk1","rangkaian-pegas","Rangkaian Pegas","Rangkaian Pegas — Kelas 11.","2026-10-08T09:24:41.111Z",{"id":159,"subjectId":24,"levelId":55,"parentId":98,"slug":1467,"name":1468,"description":1469,"order":1470,"createdAt":1471,"updatedAt":1471},"fluida","Fluida","Fluida — Kelas 11.",14,"2026-10-08T09:24:41.113Z",{"id":273,"subjectId":15,"levelId":55,"parentId":98,"slug":1473,"name":1474,"description":1475,"order":1470,"createdAt":1476,"updatedAt":1476},"polinomial","Polinomial","Polinomial — Kelas 11 Lanjut.","2026-10-08T09:24:41.454Z",{"id":189,"subjectId":15,"levelId":55,"parentId":98,"slug":1478,"name":1479,"description":1480,"order":1481,"createdAt":1482,"updatedAt":1482},"fungsi-trigonometri","Fungsi Trigonometri","Fungsi Trigonometri — Kelas 11 Lanjut.",15,"2026-10-08T09:24:41.469Z",{"id":183,"subjectId":24,"levelId":55,"parentId":98,"slug":1484,"name":1485,"description":1486,"order":1481,"createdAt":1487,"updatedAt":1487},"gerak-harmonik-sederhana-ghs","Gerak Harmonik Sederhana (GHS)","Gerak Harmonik Sederhana (GHS) — Kelas 11.","2026-10-08T09:24:41.119Z",{"id":213,"subjectId":24,"levelId":55,"parentId":98,"slug":1489,"name":1490,"description":1491,"order":1492,"createdAt":1493,"updatedAt":1493},"gelombang-mekanik","Gelombang Mekanik","Gelombang Mekanik — Kelas 11.",16,"2026-10-08T09:24:41.132Z",{"id":279,"subjectId":15,"levelId":55,"parentId":98,"slug":1248,"name":1249,"description":1495,"order":1492,"createdAt":1496,"updatedAt":1496},"Vektor — Kelas 11 Lanjut.","2026-10-08T09:24:41.485Z",{"id":135,"subjectId":24,"levelId":55,"parentId":98,"slug":1498,"name":1499,"description":1500,"order":1501,"createdAt":1502,"updatedAt":1502},"gelombang-cahaya","Gelombang Cahaya","Gelombang Cahaya — Kelas 11.",17,"2026-10-08T09:24:41.150Z",{"id":219,"subjectId":15,"levelId":55,"parentId":98,"slug":1504,"name":1505,"description":1506,"order":1501,"createdAt":1507,"updatedAt":1507},"transformasi-geometri","Transformasi Geometri","Transformasi Geometri — Kelas 11 Lanjut.","2026-10-08T09:24:41.498Z",{"id":165,"subjectId":15,"levelId":55,"parentId":98,"slug":1509,"name":1510,"description":1511,"order":1512,"createdAt":1513,"updatedAt":1513},"fungsi-dan-pemodelannya","Fungsi dan Pemodelannya","Fungsi dan Pemodelannya — Kelas 11 Lanjut.",18,"2026-10-08T09:24:41.504Z",{"id":201,"subjectId":24,"levelId":55,"parentId":98,"slug":1515,"name":1516,"description":1517,"order":1512,"createdAt":1518,"updatedAt":1518},"optik","Optik","Optik — Kelas 11.","2026-10-08T09:24:41.161Z",{"id":75,"subjectId":15,"levelId":55,"parentId":98,"slug":1520,"name":83,"description":1521,"order":1522,"createdAt":1523,"updatedAt":1523},"barisan-dan-deret-kelas-12-wajib","Barisan dan Deret — Kelas 12 Wajib.",19,"2026-10-08T09:24:41.512Z",{"id":374,"subjectId":24,"levelId":55,"parentId":98,"slug":1525,"name":1526,"description":1527,"order":1522,"createdAt":1528,"updatedAt":1528},"suhu-dan-kalor","Suhu dan Kalor","Suhu dan Kalor — Kelas 11.","2026-10-08T09:24:41.169Z",{"id":105,"subjectId":15,"levelId":55,"parentId":98,"slug":1530,"name":1531,"description":1532,"order":1533,"createdAt":1534,"updatedAt":1534},"bunga","Bunga","Bunga — Kelas 12 Wajib.",20,"2026-10-08T09:24:41.518Z",{"id":171,"subjectId":24,"levelId":55,"parentId":98,"slug":1536,"name":1537,"description":1538,"order":1533,"createdAt":1539,"updatedAt":1539},"teori-kinetik-gas","Teori Kinetik Gas","Teori Kinetik Gas — Kelas 11.","2026-10-08T09:24:41.188Z",{"id":380,"subjectId":15,"levelId":55,"parentId":98,"slug":1541,"name":1542,"description":1543,"order":1544,"createdAt":1545,"updatedAt":1545},"investasi-dan-pinjaman","Investasi dan Pinjaman","Investasi dan Pinjaman — Kelas 12 Wajib.",21,"2026-10-08T09:24:41.525Z",{"id":398,"subjectId":24,"levelId":55,"parentId":98,"slug":1547,"name":1548,"description":1549,"order":1544,"createdAt":1550,"updatedAt":1550},"termodinamika","Termodinamika","Termodinamika — Kelas 11.","2026-10-08T09:24:41.202Z",{"id":326,"subjectId":15,"levelId":55,"parentId":98,"slug":1552,"name":1553,"description":1554,"order":1555,"createdAt":1556,"updatedAt":1556},"kaidah-pencacahan","Kaidah Pencacahan","Kaidah Pencacahan — Kelas 12 Wajib.",22,"2026-10-08T09:24:41.540Z",{"id":267,"subjectId":24,"levelId":55,"parentId":98,"slug":1558,"name":1559,"description":1560,"order":1555,"createdAt":1561,"updatedAt":1561},"listrik-statis","Listrik Statis","Listrik Statis — Kelas 12.","2026-10-08T09:24:41.215Z",{"id":237,"subjectId":24,"levelId":55,"parentId":98,"slug":1563,"name":1564,"description":1565,"order":1566,"createdAt":1567,"updatedAt":1567},"listrik-arus-searah","Listrik Arus Searah","Listrik Arus Searah — Kelas 12.",23,"2026-10-08T09:24:41.227Z",{"id":285,"subjectId":15,"levelId":55,"parentId":98,"slug":1569,"name":1418,"description":1570,"order":1566,"createdAt":1571,"updatedAt":1571},"peluang-kelas-12-wajib","Peluang — Kelas 12 Wajib.","2026-10-08T09:24:41.547Z",{"id":249,"subjectId":15,"levelId":55,"parentId":98,"slug":1573,"name":1574,"description":1575,"order":1576,"createdAt":1577,"updatedAt":1577},"geometri-analitik","Geometri Analitik","Geometri Analitik — Kelas 12 Lanjut.",24,"2026-10-08T09:24:41.553Z",{"id":243,"subjectId":24,"levelId":55,"parentId":98,"slug":1579,"name":1580,"description":1581,"order":1576,"createdAt":1582,"updatedAt":1582},"kemagnetan","Kemagnetan","Kemagnetan — Kelas 12.","2026-10-08T09:24:41.245Z",{"id":117,"subjectId":15,"levelId":55,"parentId":98,"slug":1584,"name":1585,"description":1586,"order":1587,"createdAt":1588,"updatedAt":1588},"limit","Limit","Limit — Kelas 12 Lanjut.",25,"2026-10-08T09:24:41.562Z",{"id":68,"subjectId":24,"levelId":55,"parentId":98,"slug":1590,"name":1591,"description":1592,"order":1587,"createdAt":1593,"updatedAt":1593},"listrik-ac-arus-bolak-balik","Listrik AC \u002F Arus Bolak Balik","Listrik AC \u002F Arus Bolak Balik — Kelas 12.","2026-10-08T09:24:41.263Z",{"id":308,"subjectId":24,"levelId":55,"parentId":98,"slug":1595,"name":1596,"description":1597,"order":1598,"createdAt":1599,"updatedAt":1599},"gelombang-elektromagnetik","Gelombang Elektromagnetik","Gelombang Elektromagnetik — Kelas 12.",26,"2026-10-08T09:24:41.273Z",{"id":123,"subjectId":15,"levelId":55,"parentId":98,"slug":1601,"name":1602,"description":1603,"order":1598,"createdAt":1604,"updatedAt":1604},"turunan-fungsi","Turunan Fungsi","Turunan Fungsi — Kelas 12 Lanjut.","2026-10-08T09:24:41.575Z",{"id":332,"subjectId":15,"levelId":55,"parentId":98,"slug":1606,"name":1607,"description":1608,"order":1609,"createdAt":1610,"updatedAt":1610},"aplikasi-turunan","Aplikasi Turunan","Aplikasi Turunan — Kelas 12 Lanjut.",27,"2026-10-08T09:24:41.587Z",{"id":362,"subjectId":24,"levelId":55,"parentId":98,"slug":1612,"name":1613,"description":1614,"order":1609,"createdAt":1615,"updatedAt":1615},"pengantar-instrumental-digital","Pengantar Instrumental Digital","Pengantar Instrumental Digital — Kelas 12.","2026-10-08T09:24:41.283Z",{"id":207,"subjectId":15,"levelId":55,"parentId":98,"slug":1617,"name":1618,"description":1619,"order":1620,"createdAt":1621,"updatedAt":1621},"integral","Integral","Integral — Kelas 12 Lanjut.",28,"2026-10-08T09:24:41.599Z",{"id":350,"subjectId":24,"levelId":55,"parentId":98,"slug":1623,"name":1624,"description":1625,"order":1620,"createdAt":1626,"updatedAt":1626},"relativitas-khusus","Relativitas Khusus","Relativitas Khusus — Kelas 12.","2026-10-08T09:24:41.291Z",{"id":356,"subjectId":24,"levelId":55,"parentId":98,"slug":1628,"name":1629,"description":1630,"order":1631,"createdAt":1632,"updatedAt":1632},"gejala-kuantum","Gejala Kuantum","Gejala Kuantum — Kelas 12.",29,"2026-10-08T09:24:41.303Z",{"id":255,"subjectId":15,"levelId":55,"parentId":98,"slug":1634,"name":1635,"description":1636,"order":1631,"createdAt":1637,"updatedAt":1637},"penerapan-integral","Penerapan Integral","Penerapan Integral — Kelas 12 Lanjut.","2026-10-08T09:24:41.607Z",{"id":147,"subjectId":15,"levelId":55,"parentId":98,"slug":1639,"name":1640,"description":1641,"order":1642,"createdAt":1643,"updatedAt":1643},"analisis-data-peluang","Analisis Data & Peluang","Analisis Data & Peluang — Kelas 12 Lanjut.",30,"2026-10-08T09:24:41.611Z",{"id":291,"subjectId":24,"levelId":55,"parentId":98,"slug":1645,"name":1646,"description":1647,"order":1642,"createdAt":1648,"updatedAt":1648},"fisika-inti-dan-radioaktivitas","Fisika Inti dan Radioaktivitas","Fisika Inti dan Radioaktivitas — Kelas 12.","2026-10-08T09:24:41.318Z",{"id":1650,"subjectId":15,"levelId":55,"parentId":98,"slug":1651,"name":1652,"description":1653,"order":1654,"createdAt":1655,"updatedAt":1655},"cmuzbyhw700gw71r9o87lq7vd","logaritma","Logaritma","Logaritma — Kelas 12 Lanjut.",31,"2026-10-08T09:24:41.623Z",{"id":1657,"subjectId":15,"levelId":55,"parentId":98,"slug":1658,"name":1659,"description":1660,"order":1661,"createdAt":1662,"updatedAt":1662},"cmuzbyhw900gy71r9d9sjh9ie","program-linier","Program Linier","Program Linier — Kelas 12 Lanjut.",32,"2026-10-08T09:24:41.625Z",{"id":1664,"subjectId":15,"levelId":55,"parentId":98,"slug":1665,"name":1666,"description":1667,"order":1668,"createdAt":1669,"updatedAt":1669},"cmuzbyhwb00h071r97764r7hr","bangun-ruang","Bangun Ruang","Bangun Ruang — Kelas 12 Lanjut.",33,"2026-10-08T09:24:41.627Z",{"id":1671,"subjectId":15,"levelId":60,"parentId":98,"slug":1672,"name":125,"description":1673,"order":1674,"createdAt":1675,"updatedAt":1675},"demo-v2-topic-matematika-kuliah-1","definisi-turunan-limit","Definisi turunan dengan limit f′(x) = lim [f(x+h) − f(x)]\u002Fh, langkah menghitungnya, gradien garis singgung, syarat diferensiabel, dan contoh soal.",100,"2026-10-14T16:01:44.645Z",{"id":1677,"subjectId":15,"levelId":55,"parentId":98,"slug":1678,"name":1679,"description":1680,"order":1674,"createdAt":1681,"updatedAt":1681},"demo-v2-topic-matematika-sma-1","fungsi-kuadrat","Fungsi Kuadrat","Fungsi kuadrat f(x) = ax² + bx + c: pengaruh a, b, c pada grafik, rumus titik puncak, sumbu simetri, diskriminan, dan contoh soal nilai maksimum.","2026-10-14T16:01:44.503Z",{"id":1683,"subjectId":33,"levelId":55,"parentId":98,"slug":1684,"name":1685,"description":1686,"order":1674,"createdAt":1687,"updatedAt":1687},"demo-v2-topic-pemrograman-sma-1","fungsi-python-def-return","Fungsi Python","Pelajari cara membuat fungsi Python dengan def, parameter, nilai default, dan return, plus perbedaan return dan print lewat contoh program yang jelas.","2026-10-14T16:01:45.616Z",{"id":1689,"subjectId":24,"levelId":49,"parentId":98,"slug":1690,"name":1691,"description":1692,"order":1674,"createdAt":1693,"updatedAt":1693},"demo-v2-topic-fisika-smp-1","glb-dan-glbb","GLB dan GLBB","Rumus GLB dan GLBB lengkap: jarak, kecepatan, percepatan, grafik posisi–waktu, perbedaan GLB dan GLBB, plus contoh soal gerak lurus dan pembahasannya.","2026-10-14T16:01:44.924Z",{"id":1695,"subjectId":24,"levelId":60,"parentId":98,"slug":1696,"name":1697,"description":1698,"order":1674,"createdAt":1699,"updatedAt":1699},"demo-v2-topic-fisika-kuliah-1","gerak-harmonik-sederhana","Gerak Harmonik Sederhana","Gerak harmonik sederhana untuk fisika dasar: persamaan x = A cos(ωt + φ), kecepatan, percepatan, periode pegas dan bandul, energi, serta contoh soal.","2026-10-14T16:01:45.223Z",{"id":1701,"subjectId":24,"levelId":55,"parentId":98,"slug":1702,"name":1703,"description":1704,"order":1674,"createdAt":1705,"updatedAt":1705},"demo-v2-topic-fisika-sma-1","hukum-newton-2","Hukum Newton 2","Hukum Newton 2: bunyi, rumus ΣF = m·a, diagram gaya, gaya gesek statis dan kinetis, serta contoh soal mencari percepatan dan massa beserta pembahasan.","2026-10-14T16:01:45.084Z",{"id":1707,"subjectId":33,"levelId":60,"parentId":98,"slug":1708,"name":1709,"description":1710,"order":1674,"createdAt":1711,"updatedAt":1711},"demo-v2-topic-pemrograman-kuliah-1","notasi-big-o-kompleksitas-waktu","Notasi Big O","Pahami notasi Big O dan kompleksitas waktu algoritma: O(1), O(log n), O(n), O(n²), cara menghitungnya dari kode Python, dan contoh soalnya.","2026-10-14T16:01:45.769Z",{"id":1713,"subjectId":33,"levelId":43,"parentId":98,"slug":1714,"name":1715,"description":1716,"order":1674,"createdAt":1717,"updatedAt":1717},"demo-v2-topic-pemrograman-sd-1","pengertian-algoritma","Pengertian Algoritma","Algoritma adalah langkah-langkah urut untuk menyelesaikan masalah. Pelajari pengertian, ciri, dan contoh algoritma sehari-hari untuk siswa SD.","2026-10-14T16:01:45.355Z",{"id":1719,"subjectId":24,"levelId":43,"parentId":98,"slug":1720,"name":1721,"description":1722,"order":1674,"createdAt":1723,"updatedAt":1723},"demo-v2-topic-fisika-sd-1","pengukuran-panjang","Pengukuran Panjang","Belajar pengukuran panjang untuk SD: satuan baku, alat ukur panjang, cara memakai penggaris, dan tangga satuan panjang km sampai mm + contoh soal.","2026-10-14T16:01:44.803Z",{"id":1725,"subjectId":15,"levelId":43,"parentId":98,"slug":1726,"name":1727,"description":1728,"order":1674,"createdAt":1729,"updatedAt":1729},"demo-v2-topic-matematika-sd-1","penjumlahan-pecahan","Penjumlahan Pecahan","Cara penjumlahan pecahan berpenyebut sama dan beda penyebut memakai KPK, pecahan senilai, dan pecahan campuran, lengkap dengan contoh soal SD.","2026-10-14T16:01:44.034Z",{"id":1731,"subjectId":15,"levelId":49,"parentId":98,"slug":1732,"name":1733,"description":1734,"order":1674,"createdAt":1735,"updatedAt":1735},"demo-v2-topic-matematika-smp-1","teorema-pythagoras","Teorema Pythagoras","Teorema Pythagoras a² + b² = c² untuk mencari sisi miring dan sisi siku-siku, tripel Pythagoras, diagonal ruang balok, dan contoh soal kelas 8.","2026-10-14T16:01:44.305Z",{"id":1737,"subjectId":33,"levelId":49,"parentId":98,"slug":1738,"name":1739,"description":1740,"order":1674,"createdAt":1741,"updatedAt":1741},"demo-v2-topic-pemrograman-smp-1","variabel-dan-tipe-data-python","Variabel dan Tipe Data Python","Belajar variabel dan tipe data Python dari nol: int, float, string, boolean, operator, print, dan input, lengkap dengan contoh program dan latihan.","2026-10-14T16:01:45.472Z",{"id":1743,"subjectId":33,"levelId":60,"parentId":98,"slug":1744,"name":1745,"description":1746,"order":1747,"createdAt":1748,"updatedAt":1748},"demo-v2-topic-pemrograman-kuliah-2","class-dan-object-python","Class dan Object Python","Pelajari class dan object Python untuk OOP: __init__, self, atribut, method, inheritance, dan invarian objek lewat contoh program dompet digital.",101,"2026-10-14T16:01:45.800Z",{"id":1750,"subjectId":15,"levelId":55,"parentId":98,"slug":1751,"name":1752,"description":1753,"order":1747,"createdAt":1754,"updatedAt":1754},"demo-v2-topic-matematika-sma-2","eksponen-dan-logaritma","Eksponen dan Logaritma","Materi eksponen dan logaritma kelas 10: sifat-sifat eksponen, definisi dan sifat logaritma, persamaan eksponen dan logaritma, serta contoh soal.","2026-10-14T16:01:44.555Z",{"id":1756,"subjectId":24,"levelId":43,"parentId":98,"slug":1757,"name":1758,"description":1759,"order":1747,"createdAt":1760,"updatedAt":1760},"demo-v2-topic-fisika-sd-2","macam-macam-gaya","Gaya dan Macam-Macamnya","Gaya adalah tarikan atau dorongan. Pelajari macam-macam gaya (otot, gravitasi, magnet, gesek, pegas), pengaruhnya pada benda, dan contoh soalnya.","2026-10-14T16:01:44.840Z",{"id":1762,"subjectId":15,"levelId":43,"parentId":98,"slug":1763,"name":1764,"description":1765,"order":1747,"createdAt":1766,"updatedAt":1766},"demo-v2-topic-matematika-sd-2","rumus-keliling-dan-luas-bangun-datar","Keliling dan Luas Bangun Datar","Rumus keliling dan luas bangun datar: persegi, persegi panjang, segitiga, jajargenjang, trapesium, dan lingkaran, dengan cara mudah dan contoh soal.","2026-10-14T16:01:44.140Z",{"id":1768,"subjectId":33,"levelId":55,"parentId":98,"slug":1769,"name":1770,"description":1771,"order":1747,"createdAt":1772,"updatedAt":1772},"demo-v2-topic-pemrograman-sma-2","list-dan-dictionary-python","List dan Dictionary Python","Pahami list dan dictionary Python: indeks, append, key-value, get, dan perulangan, plus perbedaan keduanya lewat contoh pengolahan data nilai siswa.","2026-10-14T16:01:45.659Z",{"id":1774,"subjectId":24,"levelId":49,"parentId":98,"slug":1775,"name":1776,"description":1777,"order":1747,"createdAt":1778,"updatedAt":1778},"demo-v2-topic-fisika-smp-2","rumus-massa-jenis","Massa Jenis","Rumus massa jenis ρ = m\u002FV lengkap dengan satuan kg\u002Fm³ dan g\u002Fcm³, tabel massa jenis air, besi, dan minyak, cara menghitung, serta contoh soal pembahasan.","2026-10-14T16:01:44.967Z",{"id":1780,"subjectId":33,"levelId":49,"parentId":98,"slug":1781,"name":1782,"description":1783,"order":1747,"createdAt":1784,"updatedAt":1784},"demo-v2-topic-pemrograman-smp-2","percabangan-python-if-else","Percabangan Python","Pelajari percabangan Python dengan if, elif, dan else: operator perbandingan, operator logika, dan contoh program nilai rapor lengkap dengan outputnya.","2026-10-14T16:01:45.518Z",{"id":1786,"subjectId":33,"levelId":43,"parentId":98,"slug":1787,"name":1788,"description":1789,"order":1747,"createdAt":1790,"updatedAt":1790},"demo-v2-topic-pemrograman-sd-2","percabangan-dalam-algoritma","Percabangan dalam Algoritma","Percabangan dalam algoritma memilih tindakan berdasarkan syarat jika-maka. Pelajari pengertian, contoh sehari-hari, dan simbol flowchart-nya.","2026-10-14T16:01:45.408Z",{"id":1792,"subjectId":15,"levelId":49,"parentId":98,"slug":1793,"name":1794,"description":1795,"order":1747,"createdAt":1796,"updatedAt":1796},"demo-v2-topic-matematika-smp-2","persamaan-garis-lurus","Persamaan Garis Lurus","Persamaan garis lurus y = mx + c, rumus gradien dari dua titik, garis sejajar dan tegak lurus, cara menggambar grafik, serta contoh soal kelas 8.","2026-10-14T16:01:44.363Z",{"id":1798,"subjectId":24,"levelId":60,"parentId":98,"slug":1799,"name":1800,"description":1801,"order":1747,"createdAt":1802,"updatedAt":1802},"demo-v2-topic-fisika-kuliah-2","usaha-oleh-gaya-berubah","Usaha Gaya Berubah","Usaha oleh gaya berubah dengan integral W = ∫F dx, rumus usaha W = F·s sebagai dot product, usaha pegas, dan teorema usaha–energi, plus contoh soal.","2026-10-14T16:01:45.258Z",{"id":1804,"subjectId":15,"levelId":55,"parentId":98,"slug":1805,"name":1806,"description":1807,"order":1808,"createdAt":1809,"updatedAt":1809},"demo-v2-topic-matematika-sma-3","rumus-peluang","Peluang Kejadian","Rumus peluang P(A) = n(A)\u002Fn(S), ruang sampel, peluang komplemen, frekuensi harapan, kejadian saling lepas dan saling bebas, plus contoh soal dadu dan koin.",102,"2026-10-14T16:01:44.588Z",{"id":1811,"subjectId":33,"levelId":55,"parentId":98,"slug":1812,"name":1813,"description":1814,"order":1808,"createdAt":1815,"updatedAt":1815},"demo-v2-topic-pemrograman-sma-3","pencarian-linear-dan-biner","Pencarian Linear dan Biner","Pelajari pencarian linear dan pencarian biner (binary search): cara kerja, syarat data terurut, kode Python, dan perbandingan jumlah langkahnya.","2026-10-14T16:01:45.700Z",{"id":1817,"subjectId":33,"levelId":49,"parentId":98,"slug":1818,"name":1819,"description":1820,"order":1808,"createdAt":1821,"updatedAt":1821},"demo-v2-topic-pemrograman-smp-3","perulangan-python-for-while","Perulangan Python","Pelajari perulangan Python dengan for, range(), dan while, lengkap dengan contoh program menghitung total, break, continue, dan latihan soal.","2026-10-14T16:01:45.560Z",{"id":1823,"subjectId":33,"levelId":43,"parentId":98,"slug":1824,"name":1825,"description":1826,"order":1808,"createdAt":1827,"updatedAt":1827},"demo-v2-topic-pemrograman-sd-3","perulangan-dalam-algoritma","Perulangan dalam Algoritma","Perulangan dalam algoritma mengulang langkah yang sama beberapa kali. Pelajari pengertian, contoh perulangan sehari-hari, dan cara menghitung hasilnya.","2026-10-14T16:01:45.436Z",{"id":1829,"subjectId":15,"levelId":49,"parentId":98,"slug":1830,"name":1831,"description":1832,"order":1808,"createdAt":1833,"updatedAt":1833},"demo-v2-topic-matematika-smp-3","rumus-prisma-dan-limas","Prisma dan Limas","Rumus volume prisma dan limas, luas permukaan, sifat sisi-rusuk-titik sudut, jaring-jaring, limas 3D interaktif, dan contoh soal bangun ruang sisi datar.","2026-10-14T16:01:44.400Z",{"id":1835,"subjectId":33,"levelId":60,"parentId":98,"slug":1836,"name":1837,"description":1838,"order":1808,"createdAt":1839,"updatedAt":1839},"demo-v2-topic-pemrograman-kuliah-3","unit-test-python","Unit Test Python","Pelajari unit test Python dengan modul unittest: assertEqual, assertRaises, nilai batas, dan cara menjalankan tes, lengkap dengan contoh dan versi pytest.","2026-10-14T16:01:45.832Z",{"id":1841,"subjectId":15,"levelId":60,"parentId":98,"slug":1842,"name":1843,"description":1844,"order":1808,"createdAt":1845,"updatedAt":1845},"demo-v2-topic-matematika-kuliah-3","vektor-3-dimensi-dot-product","Vektor 3D dan Dot Product","Vektor 3 dimensi: komponen, panjang vektor, vektor satuan, dot product atau perkalian titik, sudut antara dua vektor, proyeksi, dan contoh soal.","2026-10-14T16:01:44.715Z",{"id":1847,"subjectId":15,"levelId":43,"parentId":98,"slug":1848,"name":1849,"description":1850,"order":1808,"createdAt":1851,"updatedAt":1851},"demo-v2-topic-matematika-sd-3","rumus-volume-kubus","Volume dan Luas Permukaan Kubus","Rumus volume kubus V = s³ dan luas permukaan kubus L = 6s², sifat kubus, jaring-jaring, kubus 3D interaktif, dan contoh soal bertingkat.","2026-10-14T16:01:44.189Z",{"id":1853,"subjectId":15,"levelId":49,"parentId":98,"slug":1854,"name":1855,"description":1856,"order":1857,"createdAt":1858,"updatedAt":1858},"demo-v2-topic-matematika-smp-4","rumus-tabung-dan-kerucut","Tabung dan Kerucut","Rumus volume tabung dan kerucut, luas permukaan, garis pelukis, jaring-jaring berupa persegi panjang dan juring, kerucut 3D interaktif, dan contoh soal.",103,"2026-10-14T16:01:44.438Z",{"id":1860,"subjectId":33,"levelId":55,"parentId":98,"slug":1861,"name":1862,"description":1863,"order":1857,"createdAt":1864,"updatedAt":1864},"demo-v2-topic-pemrograman-sma-4","try-except-python","Try Except dan Membaca File","Pelajari try except Python untuk menangani error seperti ValueError dan FileNotFoundError, serta cara membaca dan menulis file txt dengan with open.","2026-10-14T16:01:45.731Z",{"id":1866,"subjectId":15,"levelId":43,"parentId":98,"slug":1867,"name":1868,"description":1869,"order":1857,"createdAt":1870,"updatedAt":1870},"demo-v2-topic-matematika-sd-4","rumus-volume-balok","Volume dan Luas Permukaan Balok","Rumus volume balok V = p × l × t dan luas permukaan balok L = 2(pl + pt + lt), sifat balok, jaring-jaring, balok 3D interaktif, dan contoh soal.","2026-10-14T16:01:44.239Z",[1872,1875,1880,1885],{"id":1873,"slug":25,"name":26,"createdAt":1874},"cmvogd3r1000607tdh34zf0vv","2026-10-25T23:22:15.997Z",{"id":1876,"slug":1877,"name":1878,"createdAt":1879},"cmvogctp7000507tdmugcad1g","fisika-statistik","Fisika Statistik","2026-10-25T23:22:02.971Z",{"id":1881,"slug":1882,"name":1883,"createdAt":1884},"cmvhrhrvm00027m1risodrm04","onmipa","ONMIPA","2026-10-21T06:59:26.435Z",{"id":1886,"slug":1887,"name":1887,"createdAt":1888},"cmvhrhm2s00017m1rpjm53zrv","tag","2026-10-21T06:59:18.917Z",[1890],{"code":1891,"nativeName":1892,"isDefault":5},"id","Bahasa Indonesia",{"id":1894,"type":1895,"slug":1896,"title":1897,"excerpt":1898,"coverUrl":98,"status":1899,"publishedAt":1900,"featured":4,"subjectId":33,"blocks":1901,"seoTitle":98,"seoDescription":98,"readingMinutes":1414,"order":21,"hiddenFromOthers":4,"createdAt":1970,"updatedAt":1971,"subject":1972,"levels":1973,"topics":1976,"tags":1977,"lang":1891,"alternates":1978,"author":1980,"resolved":1985,"related":1989,"sequence":98},"cmvwjsd32000z07scwq3syiia","ARTICLE","matematika-di-balik-qris-koreksi-galat-qr-code","Matematika di Balik QRIS: Kenapa QR Rusak Tetap Terbaca","Kenapa QRIS yang tergores tetap terbaca? Bedah matematika QR code: koreksi galat Reed-Solomon, level L-M-Q-H, dan checksum CRC-16 lengkap dengan Python.","PUBLISHED","2026-10-31T15:36:35.482Z",[1902,1907,1911,1915,1922,1926,1933,1937,1941,1945,1950,1954,1958,1962,1966],{"id":1903,"data":1904,"type":1906},"aia195fe4d55",{"markdown":1905},"Stiker QRIS di warung sering sudah kusam, tergores, atau terlipat, tetapi kamera ponsel tetap bisa membacanya. Rahasianya adalah matematika: setiap QR code menyimpan **data cadangan hasil perhitungan Reed–Solomon**, sehingga bagian yang rusak bisa \"dihitung ulang\" dari bagian yang masih utuh. Di atas itu, standar pembayaran yang dipakai QRIS menambahkan satu lapis pengaman lagi berupa *checksum* CRC untuk memastikan isi pesan tidak berubah. Artikel ini membedah keduanya, lengkap dengan contoh hitungan dan kode Python yang bisa kamu jalankan sendiri.","text",{"id":1908,"data":1909,"type":1906},"aid46b34bc50",{"markdown":1910},"## Dari Pabrik Mobil ke Warung Kopi\n\nQR code (*quick response code*) diciptakan pada 1994 oleh Masahiro Hara dari perusahaan Jepang Denso Wave untuk menandai komponen mobil. Label kertas di pabrik sering terkena noda oli dan gesekan, sehingga sejak awal kode ini dirancang agar tetap terbaca walaupun sebagian permukaannya rusak.\n\nDi Indonesia, QR code menjadi alat bayar sehari-hari lewat **QRIS** (*Quick Response Code Indonesian Standard*, dibaca \"kris\"). Menurut Bank Indonesia, QRIS diluncurkan pada 17 Agustus 2019 dan wajib dipakai mulai 31 Desember 2019. Sebelum ada QRIS, aplikasi pembayaran hanya bisa membayar ke *merchant* yang memakai penyedia jasa pembayaran yang sama. Kini satu kode QRIS bisa dipindai oleh aplikasi dari penyedia mana pun. Bank Indonesia juga menyebut bahwa QRIS disusun memakai standar internasional EMVCo, standar yang sama yang dipakai di sejumlah negara lain.\n\nJadi, ketika kamu memindai QRIS, ada dua lapis matematika yang bekerja:\n\n| Lapisan | Tugas | Alat matematikanya |\n| --- | --- | --- |\n| Gambar QR code | Memulihkan modul (kotak kecil) yang rusak atau tertutup | Kode Reed–Solomon |\n| Isi pesan pembayaran | Mendeteksi bila isi pesan berubah | Checksum CRC-16 |",{"id":1912,"data":1913,"type":1906},"aiba19f19ffc",{"markdown":1914},"## Anatomi QR Code: Modul, Versi, dan Pola Penanda\n\nQR code adalah kisi persegi berisi **modul** hitam (bit 1) dan putih (bit 0). Ukurannya ditentukan oleh **versi** $V$, dari 1 sampai 40. Panjang sisi QR code dalam modul adalah\n\n$$\ns = 4V + 17\n$$\n\nJadi versi 1 berukuran $21 \\times 21$ modul dan versi 40 berukuran $177 \\times 177$ modul.",{"id":1916,"data":1917,"type":1921},"ai47ec548431",{"title":1918,"variant":1919,"markdown":1920},"Contoh: Berapa modul pada QR code versi 3?","explanation","Sisi: $s = 4(3) + 17 = 29$ modul.\n\nJumlah modul: $29 \\times 29 = 841$ modul.\n\nCek: versi 2 bersisi $4(2)+17 = 25$, dan setiap kenaikan satu versi menambah 4 modul per sisi, jadi versi 3 bersisi $25 + 4 = 29$. Cocok, dan $29^2 = 841$.","callout",{"id":1923,"data":1924,"type":1906},"aid1c37d924a",{"markdown":1925},"Tidak semua modul berisi data. Sebagian dipakai sebagai pola penanda. Perhatikan gambar di bawah: tiga kotak besar di pojok kiri atas, kanan atas, dan kiri bawah adalah **pola posisi** (*finder pattern*) yang membantu kamera menentukan arah dan kemiringan kode. Garis putus-putus hitam-putih adalah **pola pengatur waktu** (*timing*), kotak kecil di tengah adalah **pola penjajaran** (*alignment*), dan area abu-abu adalah tempat data serta kunci koreksi galat disimpan. Bingkai hijau menandai **zona tenang** (*quiet zone*), yaitu tepi kosong yang harus dibiarkan polos.",{"id":1927,"data":1928,"type":1932},"ai7c3e91a2f4",{"alt":1929,"url":1930,"caption":1931},"Diagram QR code dengan elemen fungsional berwarna: informasi versi (biru), informasi format (merah), area data dan kunci koreksi galat (abu-abu), pola posisi di tiga pojok, pola penjajaran, pola pengatur waktu, dan zona tenang (hijau) di tepi.","https:\u002F\u002Fmyfismat.com\u002Fuploads\u002F7150ff18-0039-478d-885d-86aa3664d2d0.webp","Gambar: Struktur QR code oleh Bobmath, via Wikimedia Commons, lisensi CC BY-SA 3.0 (diubah).","image",{"id":1934,"data":1935,"type":1906},"ai0b5d2e8c61",{"markdown":1936},"*Gambar: Contoh struktur QR code dengan elemen fungsional ditandai oleh Bobmath, via [Wikimedia Commons](https:\u002F\u002Fcommons.wikimedia.org\u002Fwiki\u002FFile:QR_Code_Structure_Example_3.svg), lisensi [CC BY-SA 3.0](https:\u002F\u002Fcreativecommons.org\u002Flicenses\u002Fby-sa\u002F3.0\u002Fdeed.en) (diubah).*",{"id":1938,"data":1939,"type":1906},"aic3ba087035",{"markdown":1940},"## Empat Level Koreksi Galat: L, M, Q, dan H\n\nStandar QR code menyediakan empat level koreksi galat. Makin tinggi levelnya, makin banyak data cadangan yang ditambahkan, sehingga kode makin tahan rusak, tetapi ruang untuk data asli makin sedikit.\n\n| Level | Perkiraan bagian kode yang bisa dipulihkan | Kapasitas versi 1 (mode byte) | Contoh penggunaan |\n| --- | --- | --- | --- |\n| L (*low*) | sekitar 7% | 17 byte | Layar digital yang bersih |\n| M (*medium*) | sekitar 15% | 14 byte | Pilihan paling umum |\n| Q (*quartile*) | sekitar 25% | 11 byte | Lingkungan pabrik atau luar ruang |\n| H (*high*) | sekitar 30% | 7 byte | Kode yang diberi logo di tengah |\n\nDenso Wave sendiri menyebut level M (15%) sebagai level yang paling sering dipilih, sedangkan level Q atau H cocok untuk lingkungan pabrik yang membuat kode mudah kotor.\n\nPersentase itu dihitung terhadap **seluruh** *codeword* (satu *codeword* = 8 bit = 1 byte), bukan hanya terhadap data asli. Denso Wave memberi contoh begini: bila ada 100 *codeword* data dan kita ingin bisa memperbaiki 50 di antaranya, dibutuhkan $2 \\times 50 = 100$ *codeword* Reed–Solomon, karena kode Reed–Solomon memerlukan dua kali jumlah *codeword* yang akan diperbaiki. Totalnya 200 *codeword*, sehingga tingkat pemulihannya\n\n$$\n\\frac{50}{100 + 100} = \\frac{50}{200} = 25\\%,\n$$\n\nyang sesuai dengan level Q.",{"id":1942,"data":1943,"type":1906},"ai90b19bf8b0",{"markdown":1944},"## Ide Reed–Solomon: Titik Cadangan pada Sebuah Polinomial\n\nInti kode Reed–Solomon bisa dipahami dengan fakta sederhana dari pelajaran aljabar: **sebuah garis lurus ditentukan oleh dua titik**. Lebih umum, polinomial berderajat $k-1$ ditentukan oleh $k$ titik. Bila kita mengirim lebih banyak titik daripada yang dibutuhkan, titik tambahan itu menjadi cadangan: kalau ada titik yang rusak, titik yang lain masih \"sepakat\" tentang polinomial yang benar.",{"id":1946,"data":1947,"type":1921},"aicb0e89de52",{"title":1948,"variant":1919,"markdown":1949},"Contoh mainan: memulihkan angka yang rusak","Misalkan pesan kita adalah dua angka, 3 dan 5. Kita jadikan koefisien polinomial\n\n$$\np(x) = 3 + 5x.\n$$\n\nAlih-alih mengirim dua angka, kita kirim empat nilai: $p(1) = 8$, $p(2) = 13$, $p(3) = 18$, dan $p(4) = 23$.\n\nDalam perjalanan, nilai kedua rusak dan terbaca 20, sehingga penerima mendapat titik $(1, 8)$, $(2, 20)$, $(3, 18)$, $(4, 23)$.\n\nPenerima mencari garis yang dilalui sebanyak mungkin titik. Titik $(1,8)$ dan $(3,18)$ memberi kemiringan $\\frac{18-8}{3-1} = 5$, sehingga garisnya $y = 8 + 5(x-1) = 3 + 5x$. Titik $(4, 23)$ juga terletak di garis ini karena $3 + 5(4) = 23$. Tiga titik sepakat, satu titik menyimpang, jadi nilai yang benar di $x = 2$ adalah $p(2) = 3 + 5(2) = 13$, dan pesan aslinya (3 dan 5) kembali utuh.\n\nCek: substitusi balik $p(1) = 3+5 = 8$, $p(3) = 3+15 = 18$, $p(4) = 3+20 = 23$. Ketiganya cocok dengan data yang diterima, sedangkan $20 \\neq 13$ sehingga memang hanya titik kedua yang rusak.",{"id":1951,"data":1952,"type":1906},"aia319212e24",{"markdown":1953},"Pada contoh ini kita menambah **dua** nilai cadangan untuk memperbaiki **satu** kesalahan, persis aturan \"dua *codeword* cadangan untuk satu *codeword* rusak\" dari Denso Wave. Aturan ini berlaku bila letak kesalahan tidak diketahui. Bila letak bagian yang hilang sudah diketahui (disebut *erasure*), satu *codeword* cadangan sudah cukup untuk memulihkan satu *codeword*.\n\n### Bedanya dengan QR code sungguhan\n\nQR code tidak memakai bilangan biasa, melainkan aritmetika pada **medan hingga** $GF(2^8)$ yang berisi tepat 256 elemen, satu untuk setiap kemungkinan nilai byte. Medan ini dibangun dari polinomial primitif\n\n$$\nx^8 + x^4 + x^3 + x^2 + 1,\n$$\n\nyang jika ditulis sebagai bilangan biner $100011101_2$ bernilai 285. Karena hasil setiap operasi tetap berupa satu byte, komputer bisa menghitungnya dengan cepat dan tanpa pembulatan.\n\nContoh nyatanya adalah QR code versi 1 level L. Isinya 26 *codeword*: 19 untuk data dan 7 untuk koreksi galat. Pada blok sekecil ini, standar ISO\u002FIEC 18004 menyisihkan 3 dari 7 *codeword* cadangan khusus untuk *mendeteksi* galat agar kode yang rusak tidak salah terbaca. Sisanya 4 *codeword* bisa memperbaiki $4 \\div 2 = 2$ *codeword* yang rusak, atau\n\n$$\n\\frac{2}{26} \\approx 0{,}077 = 7{,}7\\%.\n$$\n\nCek: $26 \\times 0{,}077 \\approx 2{,}0$, jadi memang sekitar 2 dari 26 *codeword*. Angka 7,7% ini sesuai dengan label \"sekitar 7%\" untuk level L.",{"id":1955,"data":1956,"type":1906},"ai3115093c65",{"markdown":1957},"## Lapisan Kedua QRIS: Checksum CRC pada Isi Pesan\n\nSetelah gambar QR berhasil dipulihkan, yang keluar adalah sederet teks. Dalam spesifikasi EMV untuk QR pembayaran yang ditampilkan *merchant* (*Merchant Presented Mode*), teks itu tersusun dari potongan berformat **ID–panjang–nilai** (*TLV*): dua digit ID, dua digit panjang, lalu nilainya. Misalnya `5303986` berarti ID `53` (mata uang), panjang `03`, nilai `986`.\n\nPotongan terakhir wajib berupa ID `63` dengan panjang `04`, berisi **CRC-16**: angka pemeriksa 16 bit yang dihitung dari seluruh teks sebelumnya. Manual BR Code dari Bank Sentral Brasil, yang juga mengadopsi spesifikasi EMV ini, menjelaskan bahwa CRC dihitung dengan polinomial `1021` (heksadesimal) dan nilai awal `FFFF`.\n\nKode Python berikut membaca struktur TLV menjadi *dictionary*, lalu menghitung ulang CRC-nya. Contoh *payload* diambil dari manual BR Code tersebut (panjangnya 270 karakter).\n\n~~~python\ndef crc16_ccitt(teks):\n    crc = 0xFFFF                                   # nilai awal 'FFFF'\n    for b in teks.encode(\"utf-8\"):\n        crc ^= b \u003C\u003C 8\n        for _ in range(8):\n            if crc & 0x8000:\n                crc = ((crc \u003C\u003C 1) ^ 0x1021) & 0xFFFF   # polinomial '1021'\n            else:\n                crc = (crc \u003C\u003C 1) & 0xFFFF\n    return f\"{crc:04X}\"\n\ndef baca_tlv(teks):\n    data = {}\n    i = 0\n    while i \u003C len(teks):\n        tag = teks[i:i+2]\n        panjang = int(teks[i+2:i+4])\n        data[tag] = teks[i+4:i+4+panjang]\n        i += 4 + panjang\n    return data\n\npayload = (\"00020104141234567890123426580014BR.GOV.BCB.PIX\"\n           \"0136123e4567-e12b-12d1-a456-426655440000\"\n           \"27300012BR.COM.OUTRO01100123456789\"\n           \"5204000053039865406123.45\"\n           \"5802BR5917NOME DO RECEBEDOR\"\n           \"6008BRASILIA61087007490062190515RP12345678-2019\"\n           \"80390012BR.COM.OUTRO01190123.ABCD.3456.WXYZ6304AD38\")\n\ndata = baca_tlv(payload)\nprint(len(payload))                     # 270\nprint(data[\"54\"], data[\"59\"])           # 123.45 NOME DO RECEBEDOR\nprint(crc16_ccitt(payload[:-4]))        # AD38 -> sama dengan nilai ID 63\n\npalsu = payload.replace(\"123.45\", \"923.45\")\nprint(crc16_ccitt(palsu[:-4]))          # 0B39 -> tidak cocok, pesan ditolak\n~~~\n\nPerhatikan bahwa CRC dihitung dari teks **sampai dengan** `6304` (ID dan panjang CRC ikut dihitung), lalu hasilnya ditempel sebagai empat karakter terakhir. Saat nominal diubah dari 123.45 menjadi 923.45, CRC berubah dari `AD38` menjadi `0B39`, sehingga aplikasi tahu ada yang tidak beres.\n\nCek: program di atas menghasilkan `AD38`, sama persis dengan nilai CRC yang tercantum di contoh manual BR Code, dan panjang *payload* 270 karakter juga sesuai dengan manual.\n\nPenting untuk membedakan dua lapisan ini. Reed–Solomon **memperbaiki** kesalahan baca pada gambar. CRC hanya **mendeteksi** perubahan pada teks dan tidak bisa memperbaikinya. CRC juga bukan pengaman dari penipuan: siapa pun yang membuat QR palsu bisa menghitung CRC yang benar untuk pesan palsunya. Karena itu Bank Indonesia tetap menyarankan pengguna memeriksa nama *merchant* sebelum membayar dan memastikan notifikasi transaksi diterima.",{"id":1959,"data":1960,"type":1906},"ai12766cdb3a",{"markdown":1961},"## Kenapa QR Code Berlogo atau Tergores Tetap Bisa Dipindai?\n\nBanyak QR code diberi logo di tengah. Pemindai memperlakukan modul yang tertutup logo sebagai bagian yang rusak, lalu memulihkannya dengan kode Reed–Solomon. Itulah sebabnya kode berlogo biasanya memakai level H. Namun, logo sudah \"memakan\" sebagian jatah pemulihan sejak awal, sehingga kode itu jadi kurang tahan terhadap kerusakan tambahan.\n\nAda dua batasan yang perlu kamu ingat:\n\n1. **Pola posisi harus utuh.** Koreksi galat hanya melindungi area data. Bila salah satu dari tiga kotak besar di pojok rusak, pemindai bisa gagal menentukan arah kode walaupun total kerusakannya masih di bawah batas level koreksi.\n2. **Data disebar (*interleaving*).** Kerusakan nyata biasanya berupa satu noda atau sobekan yang berkumpul di satu tempat. QR code berukuran besar memecah pesan ke beberapa blok Reed–Solomon dan menyelang-nyeling *byte*-nya di seluruh kisi, sehingga satu noda hanya merusak sedikit bagian dari tiap blok.",{"id":1963,"data":1964,"type":1906},"ai5f816692ad",{"markdown":1965},"## Ringkasan\n\n- QR code diciptakan pada 1994 oleh Masahiro Hara dari Denso Wave, dan QRIS adalah standar QR pembayaran nasional dari Bank Indonesia yang disusun dengan standar EMVCo.\n- Ukuran QR code mengikuti rumus $s = 4V + 17$ modul per sisi, dari $21 \\times 21$ (versi 1) sampai $177 \\times 177$ (versi 40).\n- Kode Reed–Solomon menambahkan *codeword* cadangan; dibutuhkan dua *codeword* cadangan untuk memperbaiki satu *codeword* rusak yang letaknya tidak diketahui.\n- Empat level koreksi galat L, M, Q, dan H masing-masing memulihkan sekitar 7%, 15%, 25%, dan 30% dari seluruh *codeword*.\n- Isi QR pembayaran EMV diakhiri CRC-16 (polinomial `1021`, nilai awal `FFFF`) yang mendeteksi perubahan isi pesan, tetapi tidak memperbaikinya dan tidak menggantikan kewaspadaan pengguna.\n\nIngin mencoba kode di atas? Pelajari dulu cara kerja *dictionary* di [List dan Dictionary Python](\u002Fmateri\u002Flist-dan-dictionary-python), lalu latih logika perulangan dan fungsi lewat [10 Contoh Program Python Sederhana](\u002Fartikel\u002Fcontoh-program-python-sederhana). Bila baru mulai, panduan [Belajar Python dari Nol](\u002Fartikel\u002Fbelajar-python-dari-nol) bisa jadi titik awal.",{"id":1967,"data":1968,"type":1906},"ai8bd77ece0a",{"markdown":1969},"## Sumber belajar\n\n- [Error Correction Feature – QRcode.com (DENSO WAVE)](https:\u002F\u002Fwww.qrcode.com\u002Fen\u002Fabout\u002Ferror_correction.html)\n- [Quick Response Code Indonesian Standard (QRIS) – Bank Indonesia](https:\u002F\u002Fwww.bi.go.id\u002Fid\u002Ffungsi-utama\u002Fsistem-pembayaran\u002Fritel\u002Fkanal-layanan\u002Fqris\u002Fdefault.aspx)\n- [QR code – Wikipedia](https:\u002F\u002Fen.wikipedia.org\u002Fwiki\u002FQR_code)\n- [BR Code Manual v2.0.0 – Banco Central do Brasil](https:\u002F\u002Fwww.bcb.gov.br\u002Fcontent\u002Fconfig\u002FDocuments\u002FBR_Code_MANUAL_Version_2_May_2020.pdf)\n- [Reliability on QR Codes and Reed-Solomon Codes (arXiv:2407.17364)](https:\u002F\u002Farxiv.org\u002Fhtml\u002F2407.17364v1)\n\nPenjelasan dan contoh disusun ulang untuk materi ini; sumber dapat dibuka untuk belajar lebih lanjut.","2026-10-31T15:20:16.190Z","2026-10-31T15:36:35.485Z",{"id":33,"slug":34,"name":35,"color":38,"icon":37},[1974,1975],{"id":55,"slug":56,"name":57},{"id":60,"slug":61,"name":62},[],[],[1979],{"lang":1891,"slug":1896},{"name":1981,"slug":1982,"photoUrl":1983,"profession":1984},"Risyad Raflan","risyad-raflan","https:\u002F\u002Fmyfismat.com\u002Fuploads\u002F3f3eca84-9800-4c5f-97ed-1dec08f03152.jpg","Mahasiswa Jurusan Sistem Informasi",{"assets":1986,"videos":1987,"questionSets":1988},{},{},{},[1990,2004,2019,2034],{"id":1991,"type":1895,"slug":1992,"title":1993,"excerpt":1994,"coverUrl":98,"status":1899,"publishedAt":1995,"featured":4,"readingMinutes":1414,"order":21,"updatedAt":1996,"subject":1997,"levels":1998,"topics":2001,"tags":2002,"author":2003},"demo-v2-a-pengertian-flowchart-dan-contohnya","pengertian-flowchart-dan-contohnya","Flowchart : Pengertian, Simbol, Aturan, dan Contohnya","Flowchart adalah diagram alir yang menggambarkan langkah algoritma dengan simbol. Pelajari simbol flowchart, aturannya, dan 4 contoh lengkap dengan kode Python.","2026-10-14T16:01:45.895Z","2026-10-26T23:47:35.166Z",{"id":33,"slug":34,"name":35,"color":38,"icon":37},[1999,2000],{"id":49,"slug":50,"name":51},{"id":55,"slug":56,"name":57},[],[],{"name":1981,"slug":1982,"photoUrl":1983,"profession":1984},{"id":2005,"type":1895,"slug":2006,"title":2007,"excerpt":2008,"coverUrl":98,"status":1899,"publishedAt":2009,"featured":4,"readingMinutes":1414,"order":21,"updatedAt":2010,"subject":2011,"levels":2012,"topics":2016,"tags":2017,"author":2018},"demo-v2-a-contoh-program-python-sederhana","contoh-program-python-sederhana","10 Contoh Program Python Sederhana untuk Pemula + Output","Contoh program Python sederhana untuk pemula: 10 kode lengkap dengan output, dari luas persegi panjang, konversi suhu, FPB, GLBB, sampai game tebak angka.","2026-10-14T16:01:45.888Z","2026-10-26T23:47:54.800Z",{"id":33,"slug":34,"name":35,"color":38,"icon":37},[2013,2014,2015],{"id":49,"slug":50,"name":51},{"id":55,"slug":56,"name":57},{"id":60,"slug":61,"name":62},[],[],{"name":1981,"slug":1982,"photoUrl":1983,"profession":1984},{"id":2020,"type":1895,"slug":2021,"title":2022,"excerpt":2023,"coverUrl":98,"status":1899,"publishedAt":2024,"featured":5,"readingMinutes":1377,"order":21,"updatedAt":2025,"subject":2026,"levels":2027,"topics":2032,"tags":2033,"author":98},"demo-v2-a-pemrograman","belajar-python-dari-nol","Belajar Python dari Nol: Panduan Lengkap untuk Pemula","Panduan belajar Python dari nol untuk pemula: cara install, program pertama, urutan materi dari algoritma sampai OOP, proyek kecil, dan jadwal 4 minggu.","2026-10-14T16:01:45.880Z","2026-10-14T16:01:45.882Z",{"id":33,"slug":34,"name":35,"color":38,"icon":37},[2028,2029,2030,2031],{"id":43,"slug":44,"name":45},{"id":49,"slug":50,"name":51},{"id":55,"slug":56,"name":57},{"id":60,"slug":61,"name":62},[],[],{"id":2035,"type":2036,"slug":1836,"title":2037,"excerpt":1838,"coverUrl":98,"status":1899,"publishedAt":2038,"featured":4,"readingMinutes":1256,"order":21,"updatedAt":2039,"subject":2040,"levels":2041,"topics":2043,"tags":2045,"author":98},"demo-v2-m-pemrograman-kuliah-3","MATERIAL","Unit Test Python dengan unittest + Contoh Lengkap","2026-10-14T16:01:45.863Z","2026-10-14T16:11:00.687Z",{"id":33,"slug":34,"name":35,"color":38,"icon":37},[2042],{"id":60,"slug":61,"name":62},[2044],{"id":1835,"slug":1836,"name":1837,"subjectId":33},[],[]]