At length, with bewildered brain and aching head, I gave up the task for the time being, and, putting on my cap and calling my dog, I set out for a ramble to try and cool my heated brow.

I intended to walk in the direction of Lanteglos, and make a circuit through Hall Walk, Bodinneck Ferry, and Fowey, but, on reaching the little hamlet of Pont, I sat down on the handrail of the little wooden bridge, and amused myself by sending the dog into the water. At length I desisted, and, ignoring the antics of my faithful companion, I fell into a brown study—a thing under ordinary circumstances I rarely do.

Twilight was drawing in, and against the vivid red hue in the western sky the placid waters of the tree-fringed creek made an entrancing picture, that harmonized with my dreams of adventure in the future, like a presage of good fortune.

Unconsciously I found myself toying with a pocket compass I invariably carried, and as my eyes lingered for a moment on the delicately balanced needle, I saw in my mind's eye, not the compass card, but the outlines of a magic square, with the needle forming the puzzling diagonal. In the haphazard position I held the compass the needle pointed to N.E. on the card, and, like a flash, occurred the directions scrawled upon the mysterious cipher, "Steer nor'-east."

"I have it!" I exclaimed aloud in my excitement. "'Steer nor.'-east' must be old Humphrey's way of expressing the sequence of the numbers on his cipher; and that is the direction of the diagonal."

Without a moment's delay, I hastened home to make a fresh onslaught upon the puzzle, and, to make a long story short, I solved the "twenty-five" square by constructing two similar squares on its north and south sides—i.e. the top right-hand sides—and starting with the figure 1 and working in a N.E. direction, so that directly a number fell within one of the divisions of the adjacent squares, I transferred it to the corresponding division of the original design. But when by this means I came to a space already occupied by a number, I found, by consulting the already completed nine-divisioned square, that the next number was placed in the vacant space that invariably occurred below.

The completed square, which I regarded with considerable satisfaction, appeared as under—

[Illustration: A bigger magic square.]