Solve the 0/1 Knapsack problem using dynamic programming to maximize the total value of items without exceeding the weight capacity.
Artificial Intelligence (AI) plays a vital role in modern human life by enhancing efficiency, convenience, and innovation across various domains. AI's impact is profound due to its ability to process vast amounts of data, learn from patterns, and make informed decisions with minimal human interventiRead more
Artificial Intelligence (AI) plays a vital role in modern human life by enhancing efficiency, convenience, and innovation across various domains. AI’s impact is profound due to its ability to process vast amounts of data, learn from patterns, and make informed decisions with minimal human intervention.
1. Healthcare: AI revolutionizes healthcare by enabling early diagnosis, personalized treatment plans, and predictive analytics, leading to improved patient outcomes and streamlined operations.
2. Communication: AI-powered virtual assistants and chatbots enhance customer service, automate routine tasks, and facilitate seamless communication, making everyday interactions more efficient.
3. Transportation: Autonomous vehicles and AI-driven traffic management systems improve road safety, reduce congestion, and enhance travel efficiency.
4. Finance: AI algorithms detect fraud, assess credit risks, and automate trading, leading to more secure and efficient financial services.
5. Education: AI personalizes learning experiences, providing tailored educational content and real-time feedback to students, thus improving learning outcomes.
6. Entertainment: AI curates personalized content recommendations on streaming platforms, enhancing user experiences by offering relevant and engaging material.
7. Workplace: AI automates repetitive tasks, augments decision-making, and fosters innovation, leading to increased productivity and job satisfaction.
In essence, AI significantly enhances human life by optimizing processes, enabling informed decisions, and fostering innovation, making it an indispensable part of contemporary society.
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Defination: Maximize total value of items without exceeding weight limit using given weights and values. def knapsack(values,weights,capacity): n=len(values) dp=[[0 for _ in range(capacity+1)] for _ in range(n+1)] #Fill the dp array for i in range(1,n+1): for w in range(1,capacity+1): if weights[i-1Read more
Defination: Maximize total value of items without exceeding weight limit using given weights and values.
Explanation:
dp
wheredp[i][w]
represents the maximum value that can be obtained using the firsti
items with a total weight not exceedingw
.i
(from 1 ton
), and for each weightw
(from 1 tocapacity
):i
(weights[i-1]
) is less than or equal tow
, we have two choices:i
: The value isdp[i-1][w]
.i
: The value isdp[i-1][w-weights[i-1]] + values[i-1]
.i
is greater thanw
, we exclude the itemi
.dp[n][capacity]
.