2 fix) = x² - 1 / y 13 solve the using firefly Algo. 0(x, y≤5 No. of population = 5
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- How can I change the flower shape My code n=800;r=linspace(0,1,n);theta=linspace(0,2*pi,n);[R,THETA]=ndgrid(r,theta);% define the number of petals we want per cycle. Violets have 5!petalNum=5;x = 1 - (1/2)*((5/4)*(1 - mod(petalNum*THETA, 2*pi)/pi).^2 - 1/4).^2;% update the formula for phi to stop the spiralling effectphi = (pi/2)*exp(-2*pi/(8*pi));y = 1.95653*(R.^2).*(1.27689*R - 1).^2.*sin(phi);R2 = x.*(R.*sin(phi) + y.*cos(phi));X=R2.*sin(THETA);Y=R2.*cos(THETA);Z=x.*(R.*cos(phi)-y.*sin(phi));% color code for blueviolet RGB 138,43,226% Indigo rgb value (75,0,130)mapSize=20;blue_map=linspace(138,75,mapSize)';blue_map(:,2)=linspace(43,0,mapSize)';blue_map(:,3)=linspace(226,130,mapSize)';% and a pretty bit in the middlegold_map=[255 215 0; 250 210 0];% combine to form a full flower mapviolet_map=[gold_map; blue_map];% Now lets plot it and try and pick an attractive anglesurf(X,Y,Z,'LineStyle','none')colormap(violet_map/255)view([-12.700 81.200])Heuristics Prove or disprove: If h1(n), ..., hk(n) are admissible, so is h(n) = h1(n) + ... + hk(n)Correct answer will be upvoted else downvoted. Computer science. You are given a variety of integers b1,b2,… ,bn. A cluster a1,a2,… ,an of integers is half and half if for every I (1≤i≤n) no less than one of these conditions is valid: bi=ai, or bi=∑ij=1aj. Track down the number of half breed clusters a1,a2,… ,an. As the outcome can be extremely huge, you should print the appropriate response modulo 109+7. Input The principal line contains a solitary integer t (1≤t≤104) — the number of experiments. The principal line of each experiment contains a solitary integer n (1≤n≤2⋅105). The second line of each experiment contains n integers b1,b2,… ,bn (−109≤bi≤109). It is ensured that the amount of n for all experiments doesn't surpass 2⋅105. Output For each experiment, print a solitary integer: the number of half and half exhibits a1,a2,… ,a modulo 109+7.
- Hypergeometric distribution Given user defined numbers k and n, if n cards are drawn from a deck, find the probability that k cards are black. Find the probability that at least k cards are black. INPUT 11 7 OUTPUT 0.1628063397551007 0.24927823677714275QUANTIFICATION True or False FOR ALL x, x is any integer: x^4 is greater or equal x.Determine how many additions are done in the worst case scenario of the following code. Assume that all variables are properly declared. y = 1; for (i=1; i<=n;i++) { for (j = 1; j<=n;j++) { x = i + j; x = x * y; } x = y + x; }
- If P(A and B) = 0, A and B are mutually exclusive Otherwise, A and B can occur jointly P(A) = 0300 P(B) = 0240 P(A and B) = 0180 P(C) = 0200 Compute the probability of event A or B and enter your answer with 3 decimal placesAlgorithm Bellman_Ford1: procedure Bellman_Ford(G,s)2: for all {v} ∈ V do initialize3: d[v]←∞4: p[v] ← Ø5: end for6: d[s] ← 0 s has 0 cost7: for k = 1 to n − 1 do8: for all (u, v) ∈ E do relaxation9: if d[v] > d[u] + w[u, v] then10: d[v] = d[u] + w[u, v]11: p[v] ← u12: end if13: end for14: end for15: for all (u, v) ∈ E do16: if d[v] > d[u] + W[u, v] then17: return Ø a negative cycle detected18: end if19: end for20: return d, P21: end procedure Make Python Implementation of given algorithmneed the answer dont answer until its 100% sure algorthim qoustion
- Algorithm for Las Vegas method for generating random integer numbers within the interval [, u).Random-Integer(, u)in: lower bound (0 ≤ ); upper bound u ( < u ≤ + m)out: random integer r ( ≤ r ≤ u)constant: modulus m used in Random()local: the largest value w in the subinterval [0, u − ] ⊆ [0, m − 1CashOrNothingOption = function(S, k, Time, r, q, sigma) {d1 = (log(S / k) + (r - q + sigma ^ 2 / 2) * Time) / (sigma * sqrt(Time))d2 = d1 - sigma * sqrt(Time)if(k>S){return (k * exp (-r * Time) * (-d2))}elseprint("zero")}Find the maximum value of the following function F(x)=2x3 , using the genetic algorithm, performing two iterations.