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Eventually, after a week or two of this sneaking sort of life, by watching and following the guards and taking what chances he could, he managed to find out where each dwarf was kept. He found all their twelve cells in different parts of the palace, and after a time he got to know his way about very well. What was his surprise one day to overhear some of the guards talking and to learn that there was another dwarf in prison too, in a specially deep dark place. He guessed at once, of course, that that was Thorin; and after a while he found that his guess was right. At last after many difficulties he managed to find the place when no one was about, and to have a word with the chief of the dwarves. Thorin was too wretched to be angry any longer at his misfortunes, and was even beginning to think of telling the king all about his treasure and his quest (which shows how low-spirited he had become), when he heard Bilbo's little voice at his keyhole. He could hardly believe his ears. Soon however he made up his mind that he could not be mistaken, and he came to the door and had a long whispered talk with the hobbit on the other side.
So it was that Bilbo was able to take secretly Thorin's message to each of the other imprisoned dwarves, telling them that Thorin their chief was also in prison close at hand, and that no one was to reveal their errand to the long, not yet, not before Thorin gave the word. For Thorin had taken heart again hearing how the hobbit had rescued his companions from the spiders, and was determined once more not to ransom himself with promises to the king of a share in the treasure, until all hope of escaping in any other way had disappeared; until in fact the remarkable Mr. Invisible Baggins (of whom he began to have a very high opinion indeed) had altogether failed to think of something clever.
The other dwarves quite agreed when they got the message. They all thought their own shares in the treasure (which they quite regarded as theirs, in spite of their plight and the still unconquered dragon) would suffer seriously if the Wood-elves claimed part of it, and they all trusted Bilbo. Just what Gandalf had said would happen, you see. Perhaps that war part of his reason for going off and leaving them.
Bilbo, however, did not feel nearly so hopeful as they did. He did not like being depended on by everyone, and he wished he had the wizard at hand. But that was no use: probably all the dark distance of Mirkwood lay between them. He sat and thought and thought, until his head nearly burst, but no bright idea would come. One invisible ring was a very fine thing, but it was not much good among fourteen. But of course, as you have guessed, he did rescue his friends in the end, and this is how it happened. One day, nosing and wandering about. Bilbo discovered a very interesting thing: the great gates were not the only entrance to the caves. A stream flowed under part of the lowest regions of the palace, and joined the Forest River some way further to the east, beyond the steep slope out of which the main mouth opened. Where this underground watercourse came forth from the hillside there was a water-gate. There the rocky roof came down close to the surface of the stream, and from it a portcullis could be dropped right to the bed of the river to prevent anyone coming in or out that way. But the portcullis was often open, for a good deal of traffic went out and in by the water-gate. If anyone had come in that way, he would have found himself in a dark rough tunnel leading deep into the heart of the hill; but at one point where it passed under the caves the roof had been cut away and covered with great oaken trapdoors. These opened upwards into the king's cellars. There stood barrels, and barrels, and barrels; for the Wood-elves, and especially their king, were very fond of wine, though no vines grew in those parts. The wine, and other goods, were brought from far away, from their kinsfolk in the South, or from the vineyards of Men in distant lands.