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Using the methods of mathematical modeling, we study the possibility of achieving gain in a thermonuclear target compression direct (kf) of about 1 at an energy laser at 1 MJ. In the calculations we simulated the heating and compression of shell targets of the polymer filled with deuterium-tritium (D-T) mixture. The target was irradiated by a laser with a wavelength of 0,351 µm and energy 1МJ. The laser pulse had a growing front the front to a point of time t1 , then constant fast decaying pulse and the falling edge. Considered two types of targets: gas-filled and cryogenic. Calculations are made for two programs, and a comparison of the results obtained. For comparison calculations were the following parameters of targets that are not optimal results one-dimensional calculations. This was done intentionally, since the development of hydrodynamic instability introduces a strong uncertainty in the validity of the results that actually shown by the data of experiments at the NIF facility. The authors picked these parameters to ensure the reliability in the predictions, that is, shell had moderate values of aspect ratio (As=60 ) and the degree of compression of fuel on CR 10 for gas-filled target, and at 30 for cryogenic. As the target material was taken as the polymer without the incorporation of functional layers from heavy metals. At the same time, from comparison we can conclude the following. The switch to direct compression allows to predict the achievement gains of the target at 1. The achievement of this level of fusion energy ( MJ) is an important step towards the research on creating an energy reactor based on thermonuclear fusion. It is shown that in direct compression it is possible to obtain the neutron yield by an order of magnitude greater than that obtained in experiments at the NIF facility (LLNL,USA) for indirect compression (indirect drive target).