1492. JUMP THE BOARD!

单点时限: 2.0 sec

内存限制: 256 MB

An n × n game board is populated with integers, one nonnegative integer per square.

The goal is to jump along any legitimate path from the upper left corner to the lower

right corner of the board. The integer in any one square dictates how large a step away

from that location must be. If the step size would advance travel off the game board,

then a step in that particular direction is forbidden. All steps must be either to the right

or toward the bottom. Note that a 0 is a dead end which prevents any further progress.

Consider the 4 × 4 board shown in Figure 1, where the solid circle identifies the start

position and the dashed circle identifies the target. Figure 2 shows the three legitimate

paths from the start to the target, with the irrelevant numbers in each removed.

Your task is to write a program that determines the number of legitimate paths from

the upper left corner to the lower right corner.

输入格式

The input contains a first line with a single positive integer n,

4 <= n <= 100, which is the number of rows in this board. This is followed by n rows of

data. Each row contains n integers, each one from the range 0…9.

输出格式

The output should consist of a single line containing a single integer,

which is the number of legitimate paths from the upper left corner to the lower right

corner.

样例

Input
4
2 3 3 1
1 2 1 3
1 2 3 1
3 1 1 0
Output
3
Hint:
The number of legitimate paths can be quite big. Only 70% of the score can be
achieved using a 64-bit integer variable (long long int in C, Int64 in Pascal).
It is guaranteed that all inputs will lead to a number of legitimate paths that can be
written with no more than 100 digits.

0 人解决,3 人已尝试。

0 份提交通过,共有 4 份提交。

9.9 EMB 奖励。

创建: 16 年,9 月前.

修改: 6 年,8 月前.

最后提交: 3 年,5 月前.

来源: BOI 2006

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