A flat guessing game

CJam, -113 -139 -152 -157 -159 bytes

l~]:B:mr{_ea:i~mr0a*W2mr#+*.+B:,.=_[l~].-:mh_p}g],(

The program is 51 bytes long and qualifies for the -150 bytes and -60 bytes bonuses.

The game mode and number of dimensions are read as a command-line argument, the size in each dimension from STDIN. Since the victory message is arbitrary, the program will print 0.0 (distance to goal) to indicate that the game is over.

Test runs

$ cjam game.cjam 0 3; echo
2 2 2
1 1 1
1.4142135623730951
1 1 0
1.7320508075688774
1 0 1
1.0
0 0 1
0.0
4
$ cjam game.cjam 1 3; echo
2 2 2
0 0 0
1.0
0 0 0
0.0
2

How it works

l~]       e# Read a line from STDIN, evaluate it and collect the result.
:B        e# Save the resulting array in B. The result is [B1 ... Bd],
          e# where Bk is the board size in dimension k.
:mr       e# Pseudo-randomly select a non-negative integer below Bk,
          e# for each k between 1 and d.
{         e# Do:
  _       e#   Copy the item on the stack. The original becomes a dummy value
          e#   that will be used to count the number of turns.
  ea      e#   Push the array of command-line arguments.
  :i~     e#   Cast each to integer and dump them on the stack.
          e#   This pushes m (game mode) and d (number of dimensions).
  mr      e#   Pseudo-randomly select a non-negative integer below d.
  0a*     e#   Push an array of that many zeroes.
  W2mr#   e#   Elevate -1 to 0 or 1 (selected pseudo-randomly).
  +       e#   Append the result (1 or -1) to the array of zeroes.
  *       e#   Repeat the array m times.
  .+      e#   Perform vectorized addition to move the point.
  B:,.=   e#   Take the k-th coordinate modulo Bk.
  _[l~]   e#   Push a copy and an evaluated line from STDIN.
  .-:mh   e#   Compute their Euclidean distance.
  _p      e#   Print a copy.
}g        e# While the distance is non-zero, repeat the loop.
],(       e# Get the size of the stack and subtract 1.
          e# This pushes the number of turns.

Pyth, 91 (-150 -60) = -119

VvwaYOvw;JY#IqQ1=dOlY XYd@S[0 @Jd +@Yd?O2_1 1)1)=T[)VYaT^-Nvw2)=ZhZ=b@sT2Iqb0Bb;p"Won in "Z

Old solution: (54-150=-96)

JYVQaYOvw;#=J[)VYaJ^-Nvw2)=ZhZ=b@sJ2Iqb0Bb;p"Won in "Z

All input takes place on a new line.

• First integer represents the game mode (either 1 or 0)
• First Second integer D represents the dimensions of play.
• Next D inputs represent the field size
• Every D inputs from this point on are guesses

Sample play (hints do not appear in the actual program):

  #Hint: Gamemode (1 or 0)
1
  #Hint: Dimensions
3
  #Hint: X-size
4
  #Hint: Y-size
4
  #Hint: Z-size
4
  #Hint: Guesses
  #Hint:[3, 2, 1]
3
2
2
1.0
  #Hint:[3, 2, 1]
3
2
1
1.0
  #Hint:[2, 2, 1]
2
2
1
1.0
  #Hint:[3, 2, 1]
3
2
1
Won in 4

Python 2, 210 - 150 = 60

from random import*
q,r,o=map,raw_input,int
a=q(randrange,q(o,r().split(' ')))
m=q(o,r().split(' '))
t=1
while m!=a:print sum([(c-d)**2for c,d in zip(m,a)])**.5;m=q(o,r().split(' '));t+=1
print'You won in %d'%t

First challenge only so far. Try it online