Online Linear Programming Solver

SSC Online Solver allows users to solve linear programming problems (LP or MILP) written in either Text or JSON format. By using our solver, you agree to the following terms and conditions. Input or write your problem in the designated box and press "Run" to calculate your solution!

Enter the Problem → (Run) →
Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub
→ View the Result
{}
Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub Playful Kiss Tap 1 Vietsub
Information to Include in the Result
Problem Input Format
Preloaded Examples
Type of Solution to Compute
Set Epsilon (Phase 1) ? What is Epsilon?

The epsilon value defines the tolerance threshold used to verify the feasibility of the solution at the end of Phase 1 of the Simplex algorithm. Smaller values ensure greater precision in checks but may exclude feasible solutions in problems formulated with large-scale numbers (billions or more). In such cases, it is advisable to increase the tolerance to detect these solutions.
/* The variables can have any name, but they must start with an alphabetic character and can be followed by alphanumeric characters. Variable names are not case-insensitive, me- aning that "x3" and "X3" represent the same variable.*/ min: 3Y +2x2 +4x3 +7x4 +8X5 5Y + 2x2 >= 9 -3X4 3Y + X2 + X3 +5X5 = 12 6Y + 3x2 + 4X3 <= 124 -5X4 y + 3x2 +6X5 <= 854 -3X4
/* This is a formulation of a linear programming problem in JSON format. */ { "objective": { "type": "min", "coefficients": { "Y": 3, "X2": 2, "X3": 4, "X4": 7, "X5": 8 } }, "constraints": [ { "coefficients": { "Y": 5, "X2": 2, "X4":-3 }, "relation": "ge", "rhs": 9, "name":"VINCOLO1" }, { "coefficients": { "Y": 3, "X2": 1, "X3": 1, "X5": 5 }, "relation": "eq", "rhs": 12, "name":"VINCOLO2" }, { "coefficients": { "Y": 6, "X2": 3, "X3": 4, "X4":-5 }, "relation": "le", "rhs": 124, "name":"VINCOLO3" } ], "bounds": { "Y": { "lower": -1, "upper": 4 }, "X2": { "lower": null, "upper": 5 } } }
min: 3Y +2x2 +4Z +7x4 +8X5 5Y +2x2 +3X4 >= 9 3Y + X2 + Z +5X5 = 12 6Y +3.0x2 +4Z +5X4 <= 124 Y +3x2 + 3X4 +6X5 <= 854 /* To make a variable free is necessary to set a lower bound to -∞ (both +∞ and -∞ are repre- sented with '.' in the text format) */ -1<= x2 <= 6 . <= z <= .
min: 3x1 +X2 +4x3 +7x4 +8X5 5x1 +2x2 +3X4 >= 9 3x1 + X2 +X3 +5X5 >= 12.5 6X1+3.0x2 +4X3 +5X4 <= 124 X1 + 3x2 +3X4 +6X5 <= 854 int x2, X3
min: 3x1 +X2 +4x3 +7x4 +8X5 /* Constraints can be named using the syntax "constraint_name: ....". Names must not contain spaces. */ constraint1: 5x1 +2x2 +3X4 >= 9 constraint2: 3x1 + X2 +X3 +5X5 >= 12.5 row3: 6X1+3.0x2 +4X3 +5X4 <= 124 row4: X1 + 3x2 +3X4 +6X5 <= 854 /*To declare all variables as integers, you can use the notation "int all", or use the notation that with the wildcard '*', which indicates that all variables that start with a certain prefix are integers.*/ int x*
min: 3x1 +X2 +4x3 +7x4 +8X5 5x1 +2x2 +3X4 >= 9 3x1 + X2 +X3 +5X5 >= 12.5 6X1+3.0x2 +4X3 +5X4 <= 124 X1 + 3x2 +3X4 +6X5 <= 854 1<= X2 <=3 /*A set of SOS1 variables limits the values of these so that only one variable can be non-zero, while all others must be zero.*/ sos1 x1,X3,x4,x5
/* All variables are non-negative by default (Xi >=0). The coefficients of the variables can be either or numbers or mathematical expressions enclosed in square brackets '[]' */ /* Objective function: to maximize */ max: [10/3]Y + 20.3Z /* Constraints of the problem */ 5.5Y + 2Z >= 9 3Y + Z + X3 + 3X4 + X5 >= 8 6Y + 3.7Z + 3X3 + 5X4 <= 124 9.3Y + 3Z + 3X4 + 6X5 <= 54 /* It is possible to specify lower and upper bounds for variables using the syntax "l <= x <= u" or "x >= l", or "x <= u". If "l" or "u" are nega- tive, the variable can take negative values in the range. */ /* INCORRECT SINTAX : X1, X2, X3 >=0 */ /* CORRECT SINTAX : X1>=0, X2>=0, X3>=0 */ Z >= 6.4 , X5 >=5 /* I declare Y within the range [-∞,0] */ . <= Y <= 0 /* Declaration of integer variables. */ int Z, Y


Playful Kiss Tap 1 Vietsub [ 95% OFFICIAL ]

The Endearing Story of Playful Kiss

Playful Kiss, also known as Tap 1 Vietsub, is a popular South Korean television series that captured the hearts of audiences worldwide with its unique storyline, engaging characters, and light-hearted humor. The drama, which aired in 2010, tells the story of Oh Hae-young (played by Jung Eun-ji), a bright and optimistic high school girl who falls in love with a wealthy and arrogant boy, Park Do-ra (played by Kim Woo-bin).

The series revolves around the complex relationships between the characters, particularly the on-again, off-again romance between Hae-young and Do-ra. Despite their differences, the two share a deep emotional connection, and their interactions are filled with witty banter, comedic misunderstandings, and heartfelt moments.

One of the standout features of Playful Kiss is its exploration of themes such as first love, friendship, and personal growth. The characters are well-developed and relatable, with each one facing their own struggles and insecurities. Hae-young, in particular, is a lovable and strong-willed protagonist who inspires viewers with her resilience and determination.

The chemistry between the leads is undeniable, and their romance is expertly woven throughout the series. The supporting cast adds depth and humor to the story, making Playful Kiss a thoroughly entertaining and engaging watch.

Impact and Legacy

Playful Kiss may not have received widespread critical acclaim, but it has developed a loyal fan base over the years. The drama's lighthearted and feel-good nature makes it a favorite among viewers looking for a fun and uplifting watch. The series has also launched the careers of its lead actors, Jung Eun-ji and Kim Woo-bin, who have gone on to achieve success in the entertainment industry.

In conclusion, Playful Kiss is a delightful and charming drama that explores the complexities of young love and relationships. With its engaging characters, witty dialogue, and heartfelt moments, it has become a beloved favorite among fans of Korean dramas.

6. What to Expect in Episode 1 (Spoiler-free summary)

The Vietsub will help you catch the humor, cultural nuances (Korean school hierarchy, speech levels), and the character tone (Seung-jo sounds more arrogant in Korean than the soft Vietnamese translation might convey).

The Premise: Opposites Attract (Eventually)

Before we get into the recap of Playful Kiss Tap 1 Vietsub, let’s look at the setup. The story revolves around two high school students who are polar opposites:

It is the classic "Plain Jane falls for the Popular Genius" trope, but the execution makes it iconic. Playful Kiss Tap 1 Vietsub

8. Alternatives If You Can’t Find “Tap 1 Vietsub”

3. A Faithful Adaptation

This drama is based on the famous Japanese manga Itazura na Kiss. While there are many adaptations (Japanese, Taiwanese, Thai), many fans argue that the Korean version captures the sweet, youthful vibe of the original manga best.

Sự sụp đổ của ngôi nhà – Cái cớ để sống chung

Một trong những chi tiết quan trọng nhất của Playful Kiss Tap 1 Vietsub là sự cố nhà của Ha Ni bị sập do một trận động đất nhỏ (thực chất là do bố cô xây nhà quá yếu). Mẹ của Ha Ni qua đời từ sớm, bố cô là một người vui tính và rất quý Seung Jo.

Tình cờ thay, bố của Seung Jo lại là bạn thân của bố Ha Ni từ thời đại học. Khi biết gia đình Ha Ni không có chỗ ở, ông Baek đã nhiệt tình mời hai bố con họ đến ở trọ tại biệt thự nhà mình.

Khoảnh khắc Ha Ni bước vào nhà Seung Jo, nhìn thấy anh đang ngồi đọc sách với vẻ mặt "đông cứng", khán giả đã hiểu một cuộc sống "điêu đứng" sắp bắt đầu. Trong khi Seung Jo phản đối kịch liệt, người mẹ vui tính của anh lại vô cùng thích thú, coi Ha Ni như "con dâu tương lai".

2. The Drama’s Background

| Detail | Information | |--------|-------------| | Original Title | 장난스런 키스 (Jangnanseureon Kiss) | | Also known as | Mischievous Kiss (English), Itazura na Kiss (Japan original) | | Episodes | 16 (plus 7 special episodes) | | Original network | MBC (South Korea) | | Aired | September – October 2010 | | Starring | Kim Hyun-joong (SS501), Jung So-min, Lee Tae-sung, Lee Si-young | The Endearing Story of Playful Kiss Playful Kiss,

The drama had modest ratings in Korea but became a huge hit internationally, especially in Japan, Taiwan, Thailand, and Vietnam — partly due to the popularity of Kim Hyun-joong.

9. Legal and Ethical Note

While fansubbing is often tolerated for older or non-licensed shows, Playful Kiss is now legally available on Viki and other platforms with Vietnamese subtitles. Supporting official releases ensures more dramas get licensed and subtitled professionally in the future.

If you enjoy “Playful Kiss Tap 1 Vietsub”, consider watching the rest on Viki (free tier available with ads). It respects the creators and gives you reliable, high-quality subtitles.

Cảnh mở đầu ấn tượng: Lá thư tình định mệnh

Mọi chuyện bắt đầu khi Ha Ni viết một lá thư tình dài cảm động gửi đến Seung Jo. Với sự cổ vũ của bạn thân, cô đã dũng cảm đưa lá thư cho anh. Tuy nhiên, đáp lại sự can đảm ấy là sự lạnh lùng đến phũ phàng.

Ngay trước cổng trường, trước mặt rất nhiều học sinh, Baek Seung Jo đã đọc to lá thư lên và ném thẳng vào thùng rác, nói câu thoại "huyền thoại": "Có lẽ em là người duy nhất không hợp với tôi trong trường này. Ai đó hãy đến mang cô ấy đi đi." Oh Ha-ni has a crush on the genius Baek Seung-jo

Khoảnh khắc này đã thực sự khiến người xem vừa tức giận vừa đau lòng cho Ha Ni. Đây cũng là bước ngoặt mở ra loạt tình huống dở khóc dở cười sau đó.