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The paper is devoted to construction of the time efficient algorithm for solving the structural inverse gravimetry problem. The problem is in finding by known gravitational data multiple interfaces between layers with different constant densities. This problem is described by a nonlinear integral equation of the first kind; so, it is ill-posed. After discretization of the area and approximation of the integral operator, the problem is reduced to solving a system of nonlinear equations. An efficient method was cons...