Problems(1)
Figure 1 is called a "stack map." The numbers tell how many cubes are stacked in each position. Fig. 2 shows these cubes, and Fig. 3 shows the view of the stacked cubes as seen from the front. Which of the following is the front view for the stack map in Fig. 4? [asy]
unitsize(24);
draw((0,0)--(2,0)--(2,2)--(0,2)--cycle);
draw((1,0)--(1,2));
draw((0,1)--(2,1));
draw((5,0)--(7,0)--(7,1)--(20/3,4/3)--(20/3,13/3)--(19/3,14/3)--(16/3,14/3)--(16/3,11/3)--(13/3,11/3)--(13/3,2/3)--cycle);
draw((20/3,13/3)--(17/3,13/3)--(17/3,10/3)--(14/3,10/3)--(14/3,1/3));
draw((20/3,10/3)--(17/3,10/3)--(17/3,7/3)--(20/3,7/3));
draw((17/3,7/3)--(14/3,7/3));
draw((7,1)--(6,1)--(6,2)--(5,2)--(5,0));
draw((5,1)--(6,1)--(6,0));
draw((20/3,4/3)--(6,4/3));
draw((17/3,13/3)--(16/3,14/3));
draw((17/3,10/3)--(16/3,11/3));
draw((14/3,10/3)--(13/3,11/3));
draw((5,2)--(13/3,8/3));
draw((5,1)--(13/3,5/3));
draw((6,2)--(17/3,7/3));
draw((9,0)--(11,0)--(11,4)--(10,4)--(10,3)--(9,3)--cycle);
draw((11,3)--(10,3)--(10,0));
draw((11,2)--(9,2));
draw((11,1)--(9,1));
draw((13,0)--(16,0)--(16,2)--(13,2)--cycle);
draw((13,1)--(16,1));
draw((14,0)--(14,2));
draw((15,0)--(15,2));
label("Figure 1",(1,0),S);
label("Figure 2",(17/3,0),S);
label("Figure 3",(10,0),S);
label("Figure 4",(14.5,0),S);
label("1",(1.5,.2),N);
label("2",(.5,.2),N);
label("3",(.5,1.2),N);
label("4",(1.5,1.2),N);
label("1",(13.5,.2),N);
label("3",(14.5,.2),N);
label("1",(15.5,.2),N);
label("2",(13.5,1.2),N);
label("2",(14.5,1.2),N);
label("4",(15.5,1.2),N);[/asy][asy]
unitsize(18);
draw((0,0)--(3,0)--(3,2)--(1,2)--(1,4)--(0,4)--cycle);
draw((0,3)--(1,3));
draw((0,2)--(1,2)--(1,0));
draw((0,1)--(3,1));
draw((2,0)--(2,2));
draw((5,0)--(8,0)--(8,4)--(7,4)--(7,3)--(6,3)--(6,2)--(5,2)--cycle);
draw((8,3)--(7,3)--(7,0));
draw((8,2)--(6,2)--(6,0));
draw((8,1)--(5,1));
draw((10,0)--(12,0)--(12,4)--(11,4)--(11,3)--(10,3)--cycle);
draw((12,3)--(11,3)--(11,0));
draw((12,2)--(10,2));
draw((12,1)--(10,1));
draw((14,0)--(17,0)--(17,4)--(16,4)--(16,2)--(14,2)--cycle);
draw((17,3)--(16,3));
draw((17,2)--(16,2)--(16,0));
draw((17,1)--(14,1));
draw((15,0)--(15,2));
draw((19,0)--(22,0)--(22,4)--(20,4)--(20,1)--(19,1)--cycle);
draw((22,3)--(20,3));
draw((22,2)--(20,2));
draw((22,1)--(20,1)--(20,0));
draw((21,0)--(21,4));
label("(A)",(1.5,0),S);
label("(B)",(6.5,0),S);
label("(C)",(11,0),S);
label("(D)",(15.5,0),S);
label("(E)",(20.5,0),S);[/asy] geometry3D geometry