The first Russian attempt to storm Przemysl without previous bombardment, which followed immediately upon the commandant's refusal to surrender, resulted in very great loss of life to no purpose. Thereafter it was decided to abstain from further attempts to take the fortress until our siege guns could be placed and a preliminary bombardment could sufficiently facilitate the task of the besiegers. Meanwhile, although the fortress and town were duly invested, our lines were somewhat remote from the outlying forts, and the peasants of adjacent villages were, it is said, able to pass freely to and from the town of Przemysl--a fact which would enable the inhabitants to obtain supplies. From all accounts neither the garrison nor the inhabitants were reduced to very great straits for food. The announcement made at the time of the first investment of the fortress that provisions and supplies would easily last till May was, however, obviously exaggerated. I understand that heavy siege guns were ready to be conveyed to Przemysl at the end of January, but that the Russian military authorities decided to postpone their departure in view of the determined attempts made by the Austro-German forces to pierce the Russian lines in the Carpathians in order to relieve the fortress, which, if successful, might have endangered the safety of the siege material. Owing to this fact the bombardment of Przemysl began only about a fortnight ago, when the Austro-German offensive had so far weakened as to satisfy the Russian authorities that there was no further danger from this quarter. The concluding stages of the siege have been related in the dispatches from the Field Headquarters during the past week. The capture of the dominating heights in the eastern sector followed close upon the first bombardment. The final desperate sortie led by General Kusmanek at the head of the Twenty-third Division of the Honved precipitated the end. The remnants of the garrison were unable to man the works extending to a thirty-mile periphery. The loss of the western approaches left General Kusmanek no alternative but to surrender. He had exhausted his ammunition and used up his effectives. His messages for help were either intercepted or unanswered. The assailants broke down the last resistance. The most important strategical point in the whole of Galicia is now in Russian hands. TE DEUM AT HEADQUARTERS. PETROGRAD, March 22. _The following official communiqué was issued from the Main Headquarters this morning:_ The fortress of Przemysl has surrendered to our troops. At the Headquarters of the Commander in Chief a Te Deum of thanksgiving was celebrated in the presence of the Czar, the Grand Duke Nicholas, Commander in Chief, and all the staff. _The following communiqué from the Great Headquarters is issued here today:_