Pernah dengar istilah Cryptarithm sebelumnya? Atau kamu baru tau dari acara Clash of Champions nih? Buat yang masih penasaran, simak penjelasan lengkapnya di sini!
—
Episode Clash of Champions minggu lalu bikin amburadul, deh! Aku sebagai fans Maxwell jadi mewek karena doi tereliminasi.
Sediihhh puoollll 🙁 (Sumber: Twitter.com)
Yaaahh, pada akhirnya, game Number Chains hanya menyisakan 8 dari 10 tim aja. Kedelapan tim ini, bakal lanjut menyelesaikan misi yang nggak kalah menguras otak, yaitu Cryptarithm.
Ada yang udah tau, apa itu Cryptarithm? Atau sama kayak aku nih, baru dengar istilahnya di acara Clash of Champions ini. Hehehehe…
Well, buat kamu yang penasaran, yuk simak artikel ini, ya~~~
Apa itu Cryptarithm?
Cryptarithm adalah jenis teka-teki aritmatika, dimana angka-angka dalam suatu operasi matematika (seperti penjumlahan, pengurangan, perkalian, atau pembagian) diganti dengan huruf atau simbol tertentu.
Nah, satu huruf atau simbol, hanya mewakili satu digit angka yang sama di seluruh teka-teki. Misalnya, jika “A” mewakili angka 9, maka nggak ada huruf lain yang dapat mewakili angka 9 juga.
Dalam menyelesaikan soal Cryptarithm, kita diminta untuk mengganti huruf atau simbol tersebut dengan angka yang benar, sehingga operasi matematika yang berlaku, juga akan menghasilkan jawaban yang benar.
Contoh:
SEND + MORE = MONEY
Hayooo, gimana kira-kira cara menyelesaikannya?
Tentunya, Cryptarithm bisa menjadi game asah otak yang menarik untuk dicoba, gais. Keterampilan dalam menganalisis soal dan logika, bakal diperlukan banget nih untuk menyelesaikan teka-teki satu ini.
Baca Juga: Perbedaan Fungsi Otak Kiri dan Otak Kanan, Apakah Benar?
Jenis-Jenis Cryptarithm
Ternyata, Cryptarithm ada banyak jenisnya, loh! Masing-masing jenis punya karakteristik dan metode yang berbeda dalam menyelesaikannya. Jenis-jenis Cryptarithm di antaranya:
1. Alphametic
Alphametic Cryptarithm merupakan jenis yang paling umum ditemui. Jadi, angka-angka dalam operasi matematika, bakal digantikan oleh huruf-huruf yang membentuk kata tertentu.
Contoh soal Alphametic Cryptarithm:
MATH + MATH = HABIT
2. Digimetic
Mirip dengan Alphametic, kalo Digimetic Cryptarithm, angka-angkanya digantikan oleh huruf-huruf atau simbol tertentu. Jadi, nggak harus membentuk suatu kata yang bermakna.
Contoh soal Digimetic Cryptarithm:
A1B + C4D = EFGH
3. Skeleton/Skeletal Division
Nah, kalo Skeleton Division adalah jenis Cryptarithm yang menggunakan operasi pembagian. Dalam operasi tersebut, bisa sebagian angkanya aja yang diganti dengan huruf atau simbol tertentu, atau bahkan seluruhnya.
Contoh soal Skeleton Division:
(Sumber: beyondmathsolutions.wordpress.com)
4. Futoshiki
Futoshiki Cryptarithm, atau yang hanya sering disebut Futoshiki, adalah teka-teki berbasis angka yang berasal dari Jepang. Nama “Futoshiki” sendiri berasal dari bahasa Jepang yang artinya “tidak sama.”
Futoshiki akan melibatkan grid (kotak-kotak dengan ukuran yang bervariasi, misalnya 4×4, 5×5, dan seterusnya), dimana setiap selnya harus diisi dengan angka. Nah, kalo kamu pernah main Sudoku, pasti udah nggak asing lagi deh dengan template-nya.
Baca Juga: Kenali 9 Jenis Kecerdasan Manusia, Kamu Termasuk yang Mana?
Biasanya, teka-teki ini diikuti dengan aturan ketidaksetaraan (lebih besar dari “>” atau lebih kecil dari “<“) di antara sel-sel yang berdekatan.
Contoh soal Futoshiki 4 x 4:
Tips Mengerjakan Soal Cryptarithm
Buat yang udah nonton episode 4 Clash of Champions, pasti kamu dibuat shik-shak-shok sambil penasaran deh, gimana sih cara mengerjakan Cryptarithm itu? Kok Sandy bisa cepet banget jawabnya, ya.
Aku kalo ikut Cryptarithm War lawan Sandy: “Baru juga istighfar…” (Sumber: YouTube Ruangguru)
Nah, soal-soal Cryptarithm emang punya beberapa tips dan trik, supaya kamu bisa mengerjakan soalnya dengan cepat dan tepat. Berikut penjelasan lengkapnya!
1. Pahami Soalnya
Baca soal Cryptarithm dengan teliti untuk memahami persamaan dan aturan yang diberikan. Kemudian, mulai identifikasi huruf-huruf yang mewakili angka-angka unik dalam persamaan tersebut.
2. Mulai dari Bagian yang Termudah
Kemudian, kamu bisa cari bagian persamaan yang mudah untuk diselesaikan. Misalnya, operasi penjumlahan atau pengurangan satu digit angka, atau yang nggak mengandung banyak huruf/simbol.
3. Ketahui Triknya
Ada beberapa trik dalam mengerjakan soal Cryptarithm. Salah satunya, penjumlahan 2 bilangan 2 digit, hasilnya nggak mungkin lebih dari 200. Jadi, angka ratusannya pasti berawalan 1. Contohnya: 99 + 99 = 198.
Nah, dengan mengetahui trik ini, kamu akan bisa menyelesaikan soal Cryptarithm lebih cepat.
4. Substitusi dan Eliminasi
Cryptarithm juga bisa diselesaikan dengan metode substitusi atau eliminasi. Kuncinya, kamu harus teliti untuk menentukan persamaan huruf/simbol mana yang dapat disubstitusi atau dieliminasi. Contoh:
Kalo diperhatikan, persamaan pada digit paling kanan, punya 2 variabel yang sama, yaitu E + D = E. Sehingga, bisa kita lakukan substitusi menjadi:
E + D = E
D = E – E
D = 0
Nah, ketemu kan nilai D = 0. Jika satu angka telah digunakan, maka angka tersebut nggak bisa kita pakai lagi untuk huruf lain, ya.
5. Lakukan Trial and Error
Terakhir, gunakan metode coba-coba untuk menemukan kombinasi yang benar. Pastikan kamu tetap konsisten dengan penentuan angka dan operasi aritmatika yang diberikan.
Baca Juga: Serunya Sistem Pendidikan di Finlandia: Nggak Ada PR dan Ujian
Pembahasannya Soal Cryptarithm Clash of Champions
Oke, supaya kamu semakin paham, yuk kita kerjakan beberapa soal Cryptarithm dari Clash of Champions sama-sama!
Soal 1
Pembahasan:
Pertama-tama, kita identifikasi bahwa ada penjumlahan 2 bilangan 2 digit yang menghasilkan angka ratusan. Nah, kamu inget nggak sama trik di atas?
“Penjumlahan antara 2 bilangan 2 digit, hasilnya nggak mungkin lebih dari 200.”
Jadi, H udah pasti bernilai 1.
Selanjutnya, kita bisa langsung lakukan trial and error, nih. Karena penjumlahan di atas hurufnya sama, maka supaya mendapatkan hasil ratusan, angkanya harus di atas 5. Sehingga, ada 5 kemungkinan, yaitu:
55 + 55 = 110
66 + 66 = 132
77 + 77 = 154
88 + 88 = 176
99 + 99 = 198
Nah, dari 5 kemungkinan di atas, angka-angka yang menghasilkan operasi penjumlahan yang valid adalah 99 + 99 = 198. Jadi, kita bisa tahu angka-angka dari masing-masing variabelnya, yaitu:
Soal 2
Pembahasan:
Untuk mengerjakan soal yang kedua ini, konsepnya mirip kayak soal pertama. Oleh karena itu, kita tau kalo B pasti bernilai 1. Sehingga,
Dari nilai B ini, kita bisa tau nilai C, lewat operasi penjumlahan pada digit paling kanan:
B + B = C
1 + 1 = C
C = 2
Nah, untuk mendapatkan nilai A, kita bisa lakukan cara substitusi:
A + A = 12
2A = 12
A = 6
Jadi, kita bisa tahu angka-angka dari masing-masing variabelnya, yaitu:
Soal 3
Pembahasan:
Nah, konsepnya sama seperti sebelumnya, penjumlahan 2 bilangan 2 digit, nilainya nggak mungkin lebih dari 200. Jadi, nilai D udah pasti bernilai 1.
Karena hasilnya ratusan, maka kita punya aturan nih. Jadi, A + B itu hasilnya harus lebih dari 10.
Lanjut, ya…
Sekarang, kita lihat operasi penjumlahan pada digit paling kanan.
Terus, kita cari deh nilai B + A yang hasilnya lebih dari 10, tapi akhirannya 1. Karena setiap huruf hanya mewakili 1 digit angka, maka hasil penjumlahan 2 bilangan 1 digit yang berakhiran 1, udah pasti 11.
Ada beberapa kemungkinan angka yang bisa kita coba, yakni:
5 + 6 = 11
4 + 7 = 11
3 + 8 = 11
2 + 9 = 11
Setelah dilakukan trial and error, angka-angka yang menghasilkan operasi penjumlahan yang valid adalah 29 + 92 = 121. Jadi, kita bisa tahu angka-angka dari masing-masing variabelnya, yaitu:
Soal 4
Oke, untuk soal nomor 4, kamu coba hitung sendiri, ya. Kira-kira, hasilnya dapet berapa nih?
Baca Juga: Dunning-Kruger Effect: Alasan Kenapa Orang Merasa Paling Baik!
So gais, udah lebih paham belum dengan istilah Cryptarithm? Apakah kamu jadi tertarik untuk mencoba game satu ini? Kamu bisa loh coba-coba main game Cryptarithm di app Ruangguru. Yaaa… itung-itung, manasin otak selama liburan sekolah. Hehehe…
Yuk, ikuti terus keseruan episode Clash of Champions lainnya, di aplikasi Ruangguru atau Official YouTube Ruangguru. Kamu juga bisa vote peserta Clash of Champions untuk jadi peserta favorit pilihan kamu di sini.
Referensi:
https://beyondmathsolutions.wordpress.com/2014/08/22/soln-feynmans-division-problem/ (Diakses pada 9 Juli 2024)
https://www.tiktok.com/@jeromepolin98/video/7389110847068556552 (Diakses pada 9 Juli 2024)
Clash of Champions Episode 4 [Daring] Tautan: https://youtu.be/_2yf29Wdekc?feature=shared (Diakses pada 9 Juli 2024)
Sumber Gambar:
https://x.com/tanyarlfes/status/1660876968357933056 (Diakses pada 9 Juli 2024)
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<h1 class="content-title">
Penjelasan Lengkap Cryptarithm, Game Viral di Clash of Champions </h1>
<div class="content-meta">
<p class="content-author"><a href="https://www.ruangguru.com/blog/author/hani-ammariah" class="">Hani Ammariah</a> </p>
<p class="content-info"><span>July 10, 2024 • </span> <span>6 minutes read</span></p>
<br />
</div>
<div class="content-body">
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/b2b11605-694b-4bc8-b6d3-6033c5d85145.png" alt="game cryptarithm clash of champions" /></p>
<blockquote>
<p style="text-align: center;"><em><span style="font-weight: 400;">Pernah dengar istilah Cryptarithm sebelumnya? Atau kamu baru tau dari acara Clash of Champions nih? Buat yang masih penasaran, simak penjelasan lengkapnya di sini!</span></em></p>
<p style="text-align: center;">—</p>
</blockquote>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Episode Clash of Champions minggu lalu bikin </span><em><span style="font-weight: 400;">amburadul</span></em><span style="font-weight: 400;">, deh! Aku sebagai fans Maxwell jadi mewek karena doi tereliminasi.</span></p>
<p><img fetchpriority="high" decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/ade49efd-1bbf-4f47-8020-4a79e24d4588.jpg" alt="meme kucing nangis" width="346" height="360" /></p>
<p style="text-align: center;"><span style="font-size: 12pt;"><em>Sediihhh puoollll 🙁 (Sumber: Twitter.com)</em></span></p>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Yaaahh, pada akhirnya, game</span><em><span style="font-weight: 400;"> Number Chains</span></em><span style="font-weight: 400;"> hanya menyisakan 8 dari 10 tim aja. Kedelapan tim ini, bakal lanjut menyelesaikan misi yang nggak kalah menguras otak, yaitu </span><em><strong>Cryptarithm</strong></em><span style="font-weight: 400;">.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ada yang udah tau, apa itu </span><em><span style="font-weight: 400;">Cryptarithm</span></em><span style="font-weight: 400;">? Atau sama kayak aku nih, baru dengar istilahnya di acara Clash of Champions ini. Hehehehe…</span></p>
<p style="text-align: justify;"><em><span style="font-weight: 400;">Well</span></em><span style="font-weight: 400;">, buat kamu yang penasaran, yuk simak artikel ini, ya~~~</span></p>
<p> </p>
<h2><span style="font-size: 18pt;"><b>Apa itu <em>Cryptarithm</em>?</b></span></h2>
<p style="text-align: justify;"><strong><em>Cryptarithm</em> adalah jenis teka-teki aritmatika, dimana angka-angka</strong><span style="font-weight: 400;"> dalam suatu operasi matematika (seperti penjumlahan, pengurangan, perkalian, atau pembagian) </span><strong>diganti dengan huruf atau simbol tertentu</strong><span style="font-weight: 400;">. </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, </span><strong>satu huruf atau simbol, hanya mewakili satu digit angka yang sama di seluruh teka-teki</strong><span style="font-weight: 400;">. Misalnya, jika “A” mewakili angka 9, maka nggak ada huruf lain yang dapat mewakili angka 9 juga.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Dalam menyelesaikan soal <em>Cryptarithm</em>, kita diminta untuk mengganti huruf atau simbol tersebut dengan angka yang benar, sehingga operasi matematika yang berlaku, juga akan menghasilkan jawaban yang benar.</span></p>
<p style="text-align: justify;"><strong>Contoh:</strong></p>
<p style="text-align: center;"><span style="font-weight: 400; font-size: 14pt;">SEND + MORE = MONEY</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;"><em>Hayooo</em>, gimana kira-kira cara menyelesaikannya?</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Tentunya, </span><em><span style="font-weight: 400;">Cryptarithm </span></em><span style="font-weight: 400;">bisa menjadi <em>game</em> asah otak yang menarik untuk dicoba, gais. Keterampilan dalam menganalisis soal dan logika, bakal diperlukan banget nih untuk menyelesaikan teka-teki satu ini.</span></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/perbedaan-fungsi-otak-kiri-dan-otak-kanan">Perbedaan Fungsi Otak Kiri dan Otak Kanan, Apakah Benar?</a></strong></p>
<p> </p>
<h2><span style="font-size: 18pt;"><b>Jenis-Jenis Cryptarithm</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Ternyata, </span><em><span style="font-weight: 400;">Cryptarithm </span></em><span style="font-weight: 400;">ada banyak jenisnya, loh! Masing-masing jenis punya karakteristik dan metode yang berbeda dalam menyelesaikannya. Jenis-jenis </span><em><span style="font-weight: 400;">Cryptarithm </span></em><span style="font-weight: 400;">di antaranya:</span></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><b>1. <em>Alphametic</em></b></span></h3>
<p style="text-align: justify;"><em><span style="font-weight: 400;">Alphametic Cryptarithm</span></em><span style="font-weight: 400;"> merupakan jenis yang paling umum ditemui. Jadi, </span><strong>angka-angka</strong><span style="font-weight: 400;"> dalam operasi matematika, bakal </span><strong>digantikan oleh huruf-huruf</strong><span style="font-weight: 400;"> yang </span><strong>membentuk kata tertentu</strong><span style="font-weight: 400;">.</span></p>
<p><span style="font-weight: 400;">Contoh soal </span><em><span style="font-weight: 400;">Alphametic Cryptarithm</span></em><span style="font-weight: 400;">: </span></p>
<p style="text-align: center;"><span style="font-weight: 400; font-size: 14pt;">MATH + MATH = HABIT</span></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>2. <em>Digimetic</em></b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Mirip dengan </span><em><span style="font-weight: 400;">Alphametic</span></em><span style="font-weight: 400;">, kalo </span><em><span style="font-weight: 400;">Digimetic Cryptarithm</span></em><span style="font-weight: 400;">, </span><strong>angka-angkanya digantikan oleh huruf-huruf atau simbol tertentu</strong><span style="font-weight: 400;">. Jadi, </span><strong>nggak harus membentuk suatu kata yang bermakna</strong><span style="font-weight: 400;">.</span></p>
<p><span style="font-weight: 400;">Contoh soal </span><em><span style="font-weight: 400;">Digimetic Cryptarithm</span></em><span style="font-weight: 400;">: </span></p>
<p style="text-align: center;"><span style="font-weight: 400; font-size: 14pt;">A1B + C4D = EFGH</span></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>3. <em>Skeleton/Skeletal Division</em></b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, kalo </span><em><span style="font-weight: 400;">Skeleton Division</span></em><span style="font-weight: 400;"> adalah jenis </span><em><span style="font-weight: 400;">Cryptarithm </span></em><span style="font-weight: 400;">yang </span><strong>menggunakan operasi pembagian</strong><span style="font-weight: 400;">. Dalam operasi tersebut, </span><strong>bisa sebagian angkanya aja yang diganti</strong><span style="font-weight: 400;"> dengan huruf atau simbol tertentu,</span> <strong>atau bahkan seluruhnya</strong><span style="font-weight: 400;">. </span></p>
<p><span style="font-weight: 400;">Contoh soal </span><em><span style="font-weight: 400;">Skeleton Division</span></em><span style="font-weight: 400;">: </span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/0401d4aa-eb99-4689-81c6-9df8f039484b.png" alt="contoh soal skeletal division cryptarithm" /></p>
<p style="text-align: center;"><span style="font-size: 12pt;"><em>(Sumber: beyondmathsolutions.wordpress.com)</em></span></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>4. <em>Futoshiki</em></b></span></h3>
<p style="text-align: justify;"><em><span style="font-weight: 400;">Futoshiki Cryptarithm</span></em><span style="font-weight: 400;">, atau yang hanya sering disebut </span><em><span style="font-weight: 400;">Futoshiki</span></em><span style="font-weight: 400;">, adalah teka-teki berbasis angka yang berasal dari Jepang. Nama “</span><em><span style="font-weight: 400;">Futoshiki</span></em><span style="font-weight: 400;">” sendiri berasal dari bahasa Jepang yang artinya “tidak sama.” </span></p>
<p style="text-align: justify;"><em><span style="font-weight: 400;">Futoshiki </span></em><span style="font-weight: 400;">akan </span><strong>melibatkan grid</strong><span style="font-weight: 400;"> (kotak-kotak dengan ukuran yang bervariasi, misalnya 4×4, 5×5, dan seterusnya), dimana </span><strong>setiap selnya harus diisi dengan angka</strong><span style="font-weight: 400;">. Nah, kalo kamu pernah main Sudoku, pasti udah nggak asing lagi deh dengan template-nya.</span></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/jenis-kecerdasan-manusia">Kenali 9 Jenis Kecerdasan Manusia, Kamu Termasuk yang Mana?</a></strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Biasanya, teka-teki ini </span><strong>diikuti dengan aturan ketidaksetaraan</strong><span style="font-weight: 400;"> (lebih besar dari “>” atau lebih kecil dari “<“) di antara sel-sel yang berdekatan.</span></p>
<p><span style="font-weight: 400;">Contoh soal </span><em><span style="font-weight: 400;">Futoshiki </span></em><span style="font-weight: 400;">4 x 4:</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/fce7e8c2-6a74-4c7d-9096-b3819fc34a82.png" alt="contoh soal futoshiki cryptarithm" /></p>
<p> </p>
<h2><span style="font-size: 18pt;"><b>Tips Mengerjakan Soal <em>Cryptarithm</em></b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Buat yang udah nonton episode 4 Clash of Champions, pasti kamu dibuat </span><em><span style="font-weight: 400;">shik-shak-shok</span></em><span style="font-weight: 400;"> sambil penasaran deh, gimana sih cara mengerjakan </span><em><span style="font-weight: 400;">Cryptarithm </span></em><span style="font-weight: 400;">itu? Kok Sandy bisa </span><em><span style="font-weight: 400;">cepet </span></em><span style="font-weight: 400;">banget jawabnya, ya. </span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/eeb52120-8cd0-4b49-8f8e-f47f5766cbba.png" alt="clip clash of champions cryptarithm" /></p>
<p style="text-align: center;"><em><span style="font-size: 12pt;"><span style="font-weight: 400;">Aku kalo ikut Cryptarithm War lawan Sandy: “Baru juga istighfar…” </span>(Sumber: YouTube Ruangguru)</span></em></p>
<p> </p>
<p><span style="font-weight: 400;">Nah, soal-soal </span><em><span style="font-weight: 400;">Cryptarithm</span><span style="font-weight: 400;"> emang </span></em><span style="font-weight: 400;">punya beberapa tips dan trik, supaya kamu bisa mengerjakan soalnya dengan cepat dan tepat. Berikut penjelasan lengkapnya!</span></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><strong>1. Pahami Soalnya</strong></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Baca soal </span><em><span style="font-weight: 400;">Cryptarithm </span></em><span style="font-weight: 400;">dengan teliti untuk memahami persamaan dan aturan yang diberikan. Kemudian, mulai identifikasi huruf-huruf yang mewakili angka-angka unik dalam persamaan tersebut.</span></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><b>2. Mulai dari Bagian yang Termudah</b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Kemudian, kamu bisa cari bagian persamaan yang mudah untuk diselesaikan. Misalnya, operasi penjumlahan atau pengurangan satu digit angka, atau yang nggak mengandung banyak huruf/simbol.</span></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><b>3. Ketahui Triknya</b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Ada beberapa trik dalam mengerjakan soal </span><em><span style="font-weight: 400;">Cryptarithm</span></em><span style="font-weight: 400;">. Salah satunya, penjumlahan 2 bilangan 2 digit, hasilnya nggak mungkin lebih dari 200. Jadi, angka ratusannya pasti berawalan 1. Contohnya: 99 + 99 = 198.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, dengan mengetahui trik ini, kamu akan bisa menyelesaikan soal </span><em><span style="font-weight: 400;">Cryptarithm </span></em><span style="font-weight: 400;">lebih cepat.</span></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><b>4. Substitusi dan Eliminasi</b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;"><em>Cryptarithm</em> juga bisa diselesaikan dengan metode substitusi atau eliminasi. Kuncinya, kamu harus teliti untuk menentukan persamaan huruf/simbol mana yang dapat disubstitusi atau dieliminasi. Contoh:</span></p>
<p><img decoding="async" class="aligncenter " src="https://cdn-web-2.ruangguru.com/landing-pages/assets/69bf9b6f-a90a-4be6-8e90-31221f89d3fd.png" alt="contoh soal cryptarithm" width="102" height="108" /></p>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Kalo diperhatikan, persamaan pada digit paling kanan, punya 2 variabel yang sama, yaitu E + D = E. Sehingga, bisa kita lakukan substitusi menjadi:</span></p>
<p style="text-align: center;">E + D = E</p>
<p style="text-align: center;">D = E – E</p>
<p style="text-align: center;">D = 0</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, ketemu kan nilai D = 0. Jika satu angka telah digunakan, maka angka tersebut nggak bisa kita pakai lagi untuk huruf lain, ya.</span></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>5. Lakukan <em>Trial and Error</em></b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Terakhir, gunakan metode coba-coba untuk menemukan kombinasi yang benar. Pastikan kamu tetap konsisten dengan penentuan angka dan operasi aritmatika yang diberikan.</span></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/serunya-sistem-pendidikan-di-finlandia">Serunya Sistem Pendidikan di Finlandia: Nggak Ada PR dan Ujian</a></strong></p>
<p> </p>
<h2><span style="font-size: 18pt;"><b>Pembahasannya Soal <em>Cryptarithm</em> Clash of Champions</b></span></h2>
<p><span style="font-weight: 400;">Oke, supaya kamu semakin paham, yuk kita kerjakan beberapa soal <em>Cryptarithm</em> dari Clash of Champions sama-sama!</span></p>
<p> </p>
<h3><span style="font-size: 14pt;">Soal 1</span></h3>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/aa61d62c-ec3f-4516-9333-8227b9d79fd2.png" alt="contoh soal cryptarithm clash of champions ruangguru" /></p>
<p> </p>
<p><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Pertama-tama, kita identifikasi bahwa ada penjumlahan 2 bilangan 2 digit yang menghasilkan angka ratusan. Nah, kamu inget nggak sama trik di atas? </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">“Penjumlahan antara 2 bilangan 2 digit, hasilnya nggak mungkin lebih dari 200.”</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, H udah pasti bernilai 1.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Selanjutnya, kita bisa langsung lakukan <em>trial and error</em>, nih. Karena penjumlahan di atas hurufnya sama, maka supaya mendapatkan hasil ratusan, angkanya harus di atas 5. Sehingga, ada 5 kemungkinan, yaitu:</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">55 + 55 = 110</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">66 + 66 = 132</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">77 + 77 = 154</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">88 + 88 = 176</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">99 + 99 = 198</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, dari 5 kemungkinan di atas, angka-angka yang menghasilkan operasi penjumlahan yang valid adalah 99 + 99 = 198. Jadi, kita bisa tahu angka-angka dari masing-masing variabelnya, yaitu:</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/24c29ed1-270d-48fb-b7e2-8c6491d5aae3.png" alt="contoh soal cryptarithm clash of champions ruangguru" /></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>Soal 2</b></span></h3>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/badf23b6-00b3-4405-a84b-51dbf8637f84.png" alt="contoh soal cryptarithm clash of champions ruangguru" /></p>
<p> </p>
<p><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Untuk mengerjakan soal yang kedua ini, konsepnya mirip kayak soal pertama. Oleh karena itu, kita tau kalo B pasti bernilai 1. Sehingga,</span></p>
<p><img decoding="async" class="aligncenter " src="https://cdn-web-2.ruangguru.com/landing-pages/assets/544528ba-ce4c-4855-ae56-8b7fc5183c1e.png" alt="soal cryptorithm" width="220" height="117" /></p>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Dari nilai B ini, kita bisa tau nilai C, lewat operasi penjumlahan pada digit paling kanan:</span></p>
<p><img loading="lazy" decoding="async" class="aligncenter " src="https://cdn-web-2.ruangguru.com/landing-pages/assets/31a18e8c-dd8d-4fd1-b710-c71f5df2728e.png" alt="soal cryptarithm" width="227" height="120" /></p>
<p> </p>
<p style="text-align: center;"><span style="font-weight: 400;">B + B = C</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">1 + 1 = C</span></p>
<p style="text-align: center;">C = 2</p>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, untuk mendapatkan nilai A, kita bisa lakukan cara substitusi:</span></p>
<p><img loading="lazy" decoding="async" class="aligncenter " src="https://cdn-web-2.ruangguru.com/landing-pages/assets/f6b9647b-1dc9-4a24-94e6-416bfd6e22ad.png" alt="soal cryptarithm" width="240" height="131" /></p>
<p> </p>
<p style="text-align: center;"><span style="font-weight: 400;">A + A = 12</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">2A = 12</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">A = 6</span></p>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, kita bisa tahu angka-angka dari masing-masing variabelnya, yaitu:</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/cc9bcf71-ef28-45a0-8f6a-6220155437cc.png" alt="contoh soal cryptarithm clash of champions ruangguru" /></p>
<p> </p>
<h3><span style="font-size: 14pt;">Soal 3</span></h3>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/139a71fe-b148-4df6-9dac-34a6ce4d9e88.png" alt="contoh soal cryptarithm clash of champions ruangguru" /></p>
<p> </p>
<p><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, konsepnya sama seperti sebelumnya, penjumlahan 2 bilangan 2 digit, nilainya nggak mungkin lebih dari 200. Jadi, nilai D udah pasti bernilai 1.</span></p>
<p><img loading="lazy" decoding="async" class="aligncenter " src="https://cdn-web-2.ruangguru.com/landing-pages/assets/427ac047-ca3c-420e-ae0c-611748b845dc.png" alt="soal cryptarithm" width="255" height="138" /></p>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Karena hasilnya ratusan, maka kita punya aturan nih. Jadi, A + B itu hasilnya harus lebih dari 10. </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Lanjut, ya…</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sekarang, kita lihat operasi penjumlahan pada digit paling kanan.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Terus, kita cari deh nilai B + A yang hasilnya lebih dari 10, tapi akhirannya 1. Karena setiap huruf hanya mewakili 1 digit angka, maka hasil penjumlahan 2 bilangan 1 digit yang berakhiran 1, udah pasti 11.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ada beberapa kemungkinan angka yang bisa kita coba, yakni:</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">5 + 6 = 11</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">4 + 7 = 11</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">3 + 8 = 11</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">2 + 9 = 11</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Setelah dilakukan<em> trial and error</em>, angka-angka yang menghasilkan operasi penjumlahan yang valid adalah 29 + 92 = 121. Jadi, kita bisa tahu angka-angka dari masing-masing variabelnya, yaitu:</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/336292d4-b515-4773-8df2-a99b04a83439.png" alt="contoh soal cryptarithm clash of champions ruangguru" /></p>
<p> </p>
<h3><span style="font-size: 14pt;">Soal 4</span></h3>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/617ea9c2-fe02-4b72-97fe-22ce7a3c0205.png" alt="contoh soal cryptarithm clash of champions ruangguru" /></p>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Oke, untuk soal nomor 4, kamu coba hitung sendiri, ya. Kira-kira, hasilnya </span><i><span style="font-weight: 400;">dapet </span></i><span style="font-weight: 400;">berapa nih?</span></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/dunning-kruger-effect">Dunning-Kruger Effect: Alasan Kenapa Orang Merasa Paling Baik!</a></strong></p>
<p style="text-align: justify;"><em><span style="font-weight: 400;">So</span></em><span style="font-weight: 400;"> gais, udah lebih paham belum dengan istilah <em>Cryptarithm</em>? Apakah kamu jadi tertarik untuk mencoba game satu ini? Kamu bisa loh coba-coba main <strong><a href="https://app.ruangguru.com/ruangbelajar/v/adaptox-cryptarithm-war-subtopi-59ejqqx3-hr-sma-kelas-12-kurikulum-merdeka" target="_blank" rel="nofollow noopener">game Cryptarithm di app Ruangguru</a></strong>. Yaaa… itung-itung, manasin otak selama liburan sekolah. Hehehe…</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Yuk, ikuti terus keseruan episode Clash of Champions lainnya, di aplikasi Ruangguru atau Official YouTube Ruangguru. </span><span style="font-weight: 400;">Kamu juga bisa </span><span style="font-weight: 400;"><em>vote</em> </span><span style="font-weight: 400;">peserta</span> <strong>Clash of Champions</strong><span style="font-weight: 400;"> untuk jadi peserta favorit pilihan kamu </span><strong><a href="https://dukungcoc.ruangguru.com/">di sini</a></strong><span style="font-weight: 400;">.</span></p>
<p><a href="https://www.ruangguru.com/event/clash-of-champions"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/3a0afa8d-3920-4f07-a3a5-8c64ba8b1c97.png" alt="clash of champions ruangguru" /></a></p>
<p><strong>Referensi:</strong></p>
<p style="text-align: left;">https://beyondmathsolutions.wordpress.com/2014/08/22/soln-feynmans-division-problem/ (Diakses pada 9 Juli 2024)</p>
<p style="text-align: left;">https://www.tiktok.com/@jeromepolin98/video/7389110847068556552 (Diakses pada 9 Juli 2024)</p>
<p style="text-align: left;">Clash of Champions Episode 4 [Daring] Tautan: https://youtu.be/_2yf29Wdekc?feature=shared (Diakses pada 9 Juli 2024)</p>
<p><strong>Sumber Gambar:</strong></p>
<p>https://x.com/tanyarlfes/status/1660876968357933056 (Diakses pada 9 Juli 2024)</p>
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<h5 class="author-title">Hani Ammariah</h5>
<p class="author-description">Content Performance Coordinator at Ruangguru. I like to write things that are useful and also not. But I hope, you can learn something from this post. ^^</p>
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<p class="title">Hubungi Kami</p>
<address>
<a href="mailto:info@ruangguru.com">
<img class="icon-call-us" src="https://cdn-web-2.ruangguru.com/file-uploader/lp/4739a139-8f09-42ea-b517-d842c5d1c28d.png" loading="lazy" alt="Logo Email Footer" />
info@ruangguru.com</a>
<a href="tel:02130930000">
<img class="icon-call-us" src="https://cdn-web-2.ruangguru.com/file-uploader/lp/6f4bb6c8-52c9-4acb-859b-47a10a7eec75.png" loading="lazy" alt="Logo Phone Footer" />(021) 3093 0000</a>
<a href="https://wa.me/6281574410000">
<img class="icon-call-us" src="https://cdn-web-2.ruangguru.com/file-uploader/lp/4b58468a-b2f9-40e4-867f-d3242a065dcf.png" loading="lazy" alt="Logo Whatsapp Footer" />0815 7441 0000</a>
</address>
</nav>
<nav class="footer-menu social d-none d-lg-block">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<div class="col-lg-9">
<div class="row">
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title">Produk Ruangguru</p>
<ul type="none">
<li><a href="https://roboguru.ruangguru.com" target="_blank">Roboguru</a></li>
<li><a href="https://www.ruangguru.com/roboguruplus">Roboguru Plus</a></li>
<li><a href="https://www.ruangguru.com/dafa-lulu">Dafa dan Lulu</a></li>
<li><a href="https://www.ruangguru.com/for-kids/kursus">Kursus for Kids</a></li>
<li><a href="https://www.ruangguru.com/for-kids">Ruangguru for Kids</a></li>
<li><a href="https://www.ruangguru.com/bisnis">Ruangguru for Business</a></li>
<li><a href="https://www.ruangguru.com/ruanguji">Ruanguji</a></li>
<li><a href="https://www.ruangguru.com/blog">Ruangbaca</a></li>
<li><a href="https://www.ruangguru.com/ruangkelas">Ruangkelas</a></li>
<li><a href="https://www.ruangguru.com/ruangbelajar">Ruangbelajar</a></li>
<li><a href="https://pengajar.ruangguru.com/">Ruangpengajar</a></li>
<li><a href="https://www.ruangguru.com/privat">Ruangguru Privat</a></li>
<li><a href="https://www.ruangpeduli.org/" target="_blank">Ruangpeduli</a></li>
</ul>
</nav>
</div>
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title">Bantuan & Panduan</p>
<ul type="none">
<li><a href="https://www.ruangguru.com/company-credentials">Company Credentials</a></li>
<li><a href="https://www.ruangguru.com/beasiswa">Beasiswa Ruangguru</a></li>
<li><a href="https://www.ruangguru.com/cicilan">Cicilan Ruangguru</a></li>
<li><a href="https://www.ruangguru.com/promo">Promo Ruangguru</a></li>
<li><a href="https://ticketing.ruangguru.com/help?request_type_id=459" target="_blank">Vulnerability Report</a></li>
<li><a href="https://www.ruangguru.com/bantuan#layanan">Layanan Pengaduan</a></li>
<li><a href="https://www.ruangguru.com/terms-conditions">Syarat & Ketentuan</a></li>
<li><a href="https://www.ruangguru.com/privacy-policy">Kebijakan Privasi</a></li>
<li><a href="https://www.ruangguru.com/about-us">Tentang Kami</a></li>
<li><a href="https://www.ruangguru.com/contact-us">Kontak Kami</a></li>
<li><a href="https://www.ruangguru.com/press">Press Kit</a></li>
<li><a href="https://www.ruangguru.com/bantuan">Bantuan</a></li>
<li><a href="https://career.ruangguru.com/">Karier</a></li>
</ul>
</nav>
</div>
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title">Produk Lainnya</p>
<ul type="none">
<li><a href="https://www.brainacademy.id/" target="_blank">Brain Academy</a></li>
<li><a href="https://www.english-academy.id/" target="_blank">English Academy</a></li>
<li><a href="https://skillacademy.com/" target="_blank">Skill Academy</a></li>
<li><a href="https://www.ruangkerja.id/" target="_blank">Ruangkerja</a></li>
<li><a href="https://www.schoters.com/id/" target="_blank">Schoters</a></li>
<li><a href="https://www.kalananti.id/" target="_blank">Kalananti</a></li>
</ul>
</nav>
</div>
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title"> Coba GRATIS Aplikasi Ruangguru</p>
<div class="download-list">
<ul>
<li>
<a target="_blank" rel="nofollow" href="https://apps.apple.com/id/app/ruangguru-solusi-belajar/id1099742206?l=id">
<img src="https://cdn-web-2.ruangguru.com/static/appstore.png" loading="lazy" alt="Button App Store Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://play.google.com/store/apps/details?id=com.ruangguru.livestudents&hl=in">
<img src="https://cdn-web-2.ruangguru.com/static/googleplay.png" loading="lazy" alt="Button Google Play Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://appgallery.huawei.com/#/app/C102352375">
<img src="https://cdn-web-2.ruangguru.com/static/huawei.png" loading="lazy" alt="Button AppGallery Footer " />
</a>
</li>
</ul>
</div>
</nav>
</div>
</div>
</div>
</div>
<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>