Solve the following cryptarithm:

SARAH + PALIN = DENSE



------------------------------------------------------------



Here is the answer:

The following alphametic puzzle:

  SARAH 
+ PALIN 
-------
  DENSE

has 12 solutions.

They are:

 34641    A=4 D=5 E=8 H=1 I=9 L=0 N=7 P=2 R=6 S=3 
+24097
------
 58738

 34041    A=4 D=5 E=8 H=1 I=9 L=6 N=7 P=2 R=0 S=3 
+24697
------
 58738

 16863    A=6 D=7 E=2 H=3 I=4 L=0 N=9 P=5 R=8 S=1 
+56049
------
 72912

 16063    A=6 D=7 E=2 H=3 I=4 L=8 N=9 P=5 R=0 S=1 
+56849
------
 72912

 21819    A=1 D=7 E=3 H=9 I=0 L=6 N=4 P=5 R=8 S=2 
+51604
------
 73423

 21619    A=1 D=7 E=3 H=9 I=0 L=8 N=4 P=5 R=6 S=2 
+51804
------
 73423

 35651    A=5 D=8 E=0 H=1 I=7 L=2 N=9 P=4 R=6 S=3 
+45279
------
 80930

 35251    A=5 D=8 E=0 H=1 I=7 L=6 N=9 P=4 R=2 S=3 
+45679
------
 80930

 76564    A=6 D=9 E=2 H=4 I=0 L=3 N=8 P=1 R=5 S=7 
+16308
------
 92872

 76364    A=6 D=9 E=2 H=4 I=0 L=5 N=8 P=1 R=3 S=7 
+16508
------
 92872

 58184    A=8 D=9 E=6 H=4 I=7 L=0 N=2 P=3 R=1 S=5 
+38072
------
 96256

 58084    A=8 D=9 E=6 H=4 I=7 L=1 N=2 P=3 R=0 S=5 
+38172
------
 96256